TWI309114B - Frequency domain partial response signaling with high spectral efficiency and low peak to average power ratio - Google Patents
Frequency domain partial response signaling with high spectral efficiency and low peak to average power ratio Download PDFInfo
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""1 Ίι 1 1309114 97年"月20日修正替換頁""1 Ίι 1 1309114 97年"月20日修正 replacement page
I I 1 〜·一 | M 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 九、發明說明: 【發明所屬之技術領域】 、 本發明之發明領域係有關於通訊系統,尤其是用於 . 通訊系統的調變技術。 、 、 【先前技術】 基本上通訊系統從一位置或通訊源向一位置或目的 地傳送資訊。來自該資訊源的資訊經一頻道向一第二位 • 置或目的地傳送,基本上該頻道為具雜訊的頻道。因此, 頻道導入不同型式的雜訊。文中“雜訊,,指不同型式的 信號破壞,如干擾,衰減,阻尼,環境衝擊,及電子雜 訊,其改變信號傳送到一頻道的特徵。因此,傳送到一 頻道而為接收機所接收的信號為傳送信號及在通過頻道 • 時由頻道導入之雜訊效應的結合。 ,,在細胞式通訊系統中,一種型式的雜訊稱為“干 擾”。尤其是,在通訊祕巾至少有兩種不同型式的干 擾··共頻道干擾(CCI)及互符號干擾(ISI)。在通訊系統中 •產生CCI ’此係因為一部份的事實,即在與範圍接收端 通訊有數個發射機。來自發射機的信號可以干擾來自另 . 一發射機的信號。例如,在通訊系統中,有數個行動台 ' 與相同的接收機通訊,而導致CCI。各發射機為一單^ - 向的發射機。但是,將從發射機傳送的信號在從發射機 向接收機傳送時有多個路徑。此導致ISI’為一種自干擾 的型式0 如上所述,在通訊系統中,資訊從一資訊源向目的 1309114 丨97年 η月 2〇·_ 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 - 地傳送,由一載波信號攜帶資訊,該載波信號被調變以 , 包含或攜帶資訊。不同型式的.調變用於經由頻道傳送資 , 訊。調變為依據建立的標準或方法改變載波特徵的程 序;由產生調變載波信號的資訊裝備或“調變”該載 : 波,該載波信號由信號源經由頻道向目的地傳送。例如 在一細胞式通訊系統中,調變為當傳送跡痕(footprint) 時,改變電子載波的程序。最常用的調變型式為調頻 p (FM),調輻(AM)及調相(PM)。 現今工業上使用的一種調變技術為正交分頻調變 (OFDM)。OFDM為一種多載波調變之一種調變技術。多 載波調變應用不同的資訊調變多個載波,所有的載波在 時間上同時傳送或平行傳送。OFDM具有高頻譜效率且 可以忍受大的路徑衰減。如上所述,發射機為多方向的 傳送。因此,從一發射機或傳送源中發出的信號可以經 由多個不同的路徑到接收機中或一目的地。因此,在導 致載波信號強度的衰減,而導致攜帶資訊的改變。 § 基本上,當沒有載波傳送時,信號的資訊稱為基頻 信號。有時候基頻信號必需載入高頻載波中然後再通 訊。有包含資訊(基頻信號)的高頻載波信號經由適當 的調變而成為帶頻(passband)信號。 ' 使用OFDM之系統的效率係基於在時間上多個次載 波的同時或平行傳送。此將減少該次載波上各個次載波 的位元速率。總位元速率下提供“N”倍的增加,其中 “N”為次載波數。另外,因為低位元速率的信號不承 1309114 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 受ISI且次符號為正交者,有玎能以各自獨立的方式調 . 變該次載波。傳統的OFDM系統包含一組在時間上傳送 .的次符號X[k],係使用反快速傅立葉轉換(IFFT)。時域 的基頻信號可以表示成: x[nJ = -^= X[k]-exp •^中 η^〇,1...Ν-1II 1 〜一一 | M Patent Application No. 94106190 Supplementary, Corrected, Unlined Instruction Manual Amendment Page IX. IX. INSTRUCTION DESCRIPTION: TECHNICAL FIELD OF THE INVENTION The field of the invention relates to communication systems Especially for the modulation technology of the communication system. , [Prior Art] Basically, a communication system transmits information from a location or communication source to a location or destination. The information from the information source is transmitted to a second location or destination via a channel, and the channel is basically a channel with noise. Therefore, the channel imports different types of noise. In the context of "noise," refers to different types of signal destruction, such as interference, attenuation, damping, environmental impact, and electronic noise, which change the characteristics of the signal transmitted to a channel. Therefore, it is transmitted to a channel and received by the receiver. The signal is a combination of the transmitted signal and the noise effect introduced by the channel when passing through the channel. In the cellular communication system, a type of noise is called "interference". In particular, at least the communication secret towel has Two different types of interference · Co-channel interference (CCI) and inter-symbol interference (ISI). In the communication system • Generate CCI 'This is due to the fact that there are several transmitters communicating with the range receiver The signal from the transmitter can interfere with the signal from the other transmitter. For example, in a communication system, several mobile stations communicate with the same receiver, resulting in CCI. Each transmitter is a single-directional Transmitter. However, the signal transmitted from the transmitter has multiple paths when transmitting from the transmitter to the receiver. This causes ISI' to be a self-interfering type 0 as described above, in the communication system In the information transmission from a source of information to the purpose of 1309114 丨97 η月〇2〇·_94106190 Patent application, revised, unlined manual revision page in triplicate - ground transmission, carried by a carrier signal, The carrier signal is modulated to contain or carry information. Different types of modulation are used to transmit the information via the channel, and the program is changed to change the carrier characteristics according to the established standard or method; Information equipment or "modulation" of the load: the carrier signal is transmitted by the signal source to the destination via the channel. For example, in a cellular communication system, the modulation is changed to change the electronic carrier when the footprint is transmitted. Program. The most commonly used modulation modes are frequency modulation p (FM), modulation (AM) and phase modulation (PM). One modulation technique used in today's industry is orthogonal frequency division modulation (OFDM). OFDM is a kind of A modulation technique for multi-carrier modulation. Multi-carrier modulation applies different information to modulate multiple carriers, all carriers are transmitted simultaneously or in parallel at the same time. OFDM has high spectral efficiency and can tolerate large paths. Attenuation. As mentioned above, the transmitter is multi-directional. Therefore, signals emanating from a transmitter or transmission source can be routed through a number of different paths to a receiver or a destination. The attenuation causes the change of carrying information. § Basically, when there is no carrier transmission, the information of the signal is called the fundamental frequency signal. Sometimes the fundamental frequency signal must be loaded into the high frequency carrier and then communicated. The high frequency carrier signal of the frequency signal becomes a passband signal via appropriate modulation. 'The efficiency of the system using OFDM is based on simultaneous or parallel transmission of multiple subcarriers in time. This will reduce the secondary carrier. The bit rate of each subcarrier is provided. An increase of "N" is provided at the total bit rate, where "N" is the number of subcarriers. In addition, because the signal of the low bit rate is not accepted by the patent application No. 94106190, and the revised page without the scribe line is corrected by the ISI and the sub-symbols are orthogonal, it can be adjusted in an independent manner. Change the secondary carrier. A conventional OFDM system consists of a set of sub-symbols X[k] transmitted over time, using an inverse fast Fourier transform (IFFT). The fundamental frequency signal of the time domain can be expressed as: x[nJ = -^= X[k]-exp •^ η^〇,1...Ν-1
• 相 κ=0 \ ^ J 因此,N個樣本的長傳送OFDM符號向量可以表示 •成: ^n=IFFT{Xn} 其中Xn及XN分別表示時域及頻域符號向量。 代表性的OFDM糸統中,編碼二位元符號或位元 串列為複數的型式。複數來自撾列的文件。然後使用複 數以調變-組正交次載波為經反離散傅立葉轉換 產生時域錢。所得_基頻錢財為複' 頻(RF)上進行調變,且經由空中介接的頻道傳送於 頻道的雜訊及在接收前的分散而使得信號被破境。、 有數問題與使用〇FDM調變 如,由於从職及特軸而產生^有關。例 承受⑻,此為偵測到信號時^外,頻道 題。而且’傳送及接收襞㈣c所碰到的問 寬下可以傳送之資訊量及速率2 ;遭遇到在有限頻 雜訊而必需克服信號的耗損。 ,而且由於頻道 1309114• Phase κ = 0 ^ ^ J Therefore, the long-transmission OFDM symbol vector of N samples can be expressed as: ^n=IFFT{Xn} where Xn and XN represent the time-domain and frequency-domain symbol vectors, respectively. In a representative OFDM system, a coded two-bit symbol or a bit string is listed as a complex number. A plurality of documents from the list of Laos. The complex is then used to modulate the set of orthogonal subcarriers into inverse time Fourier transforms to produce time domain money. The resulting _ baseband money is modulated on the complex frequency (RF), and the noise transmitted to the channel via the null-mediated channel and the dispersion before reception cause the signal to be broken. There are a number of problems related to the use of 〇FDM modulation, such as due to the employment and special axis. For example, (8), this is the channel problem when the signal is detected. Moreover, the amount and rate of information that can be transmitted under the width of the transmission and reception (4) c is 2; it is necessary to overcome the loss of the signal in the case of limited frequency noise. And because of channel 1309114
第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 OFDM系統之一項老問題為高峰與平均之功率比 (PAR或PAPR)。PAR為時域中ofdm信號上峰功率對 於傳送之平均功率的比值。高的PAR通常很難處理,且 由於不完全的RF功率放大器(RFPA)而必需進行不需要 的功率通量的妥協,導致低輸出功率或容量。更有甚者, 在返回(back off)模式下操作一 RFpA導致較低的輸出功Patent Application No. 94106190 Supplementary, Corrected, Unlined Manual Amendment Page in Triplicate An old problem with OFDM systems is the peak to average power ratio (PAR or PAPR). PAR is the ratio of the peak power of the ondm signal in the time domain to the average power delivered. High PARs are often difficult to handle, and due to incomplete RF power amplifiers (RFPA), compromises in unwanted power flux are required, resulting in low output power or capacity. What's more, operating an RFpA in back off mode results in lower output power
率、降低通量或容量且在發射機端產生極低功率及過高 的熱量。 減少糸統PAPR最一 - 般的方法為只要訊息封 (envelope)的振輻超過截割臨界值,即截割該臨界信號。 此^術的問題有雙重,第—為,信號的真實度(fiddify) 下降:此係因為㈣高峰值信紐本使得信號的能量下 振幅壓縮方法的任何戴割動作會導致頻域 内之頻見擴大(但極微小)。又,吾人使用16 64QAM、等高階觸,則截割的有效性將減少。βRate, reduce throughput or capacity and produce very low power and excessive heat at the transmitter. The most common way to reduce the PAPR is to cut the critical signal as long as the vibration of the envelope exceeds the cutoff threshold. The problem of this technique is double. The first is that the fidelity of the signal is degraded: this is because (4) the high peak signal is such that any wear action of the amplitude compression method of the signal energy causes frequent frequency in the frequency domain. Expanded (but very small). Also, if we use 16 64QAM, the same high-order touch, the effectiveness of cutting will be reduced. β
、壓縮巧張Ccompan—g;為另-種有效減少pApR ,法。但是與此方法有_頻寬擴充 ί著==效處理多路徑頻道的問題。在it 編碼速率===是在減少系統的有效 及 4==== = OFDM系統上⑻_擊及衰減 ^ 頻譜效率的系統及方法。 %傳运速率或 【發明内容】 -8 9士1月2〇日修正替換頁 1309114 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 -種應用-QFDM系統提供執行部份響應發信的系 統及方法,其中在頻域中經由部份f應發信進行信 縮。 籍之一特徵為在時域中進行數據串的循環疊 t然後轉換義域中,係使發射前賴中的 換時,不致於降低太多的方法。 传 、本發明的另i徵為獅-疊積多項式,該多項式 =以,頻譜訊息封的精簡部份能、 的一 t隱的部份響應信號具有近零的_ 財 近零振響= :響應信號中去掉頻域中 的峰=二:徵為減少在時域中由腿所碰到 而允許至平以:用較低廉的功率放大 功率域中碰到的峰值至 器 :實施方式】 現在請參考圖1,波 _ J含-發射機14,1以不;=統H),該系統 J統10使用時域部份響應(TDPR) J機18 ’其中該 現在請參考圖 循環疊積 調變技街。該發射機頻多工(ofdG 器24,一串列包含一對映器22,一 3 (IFFT)單元28一平行㈣列轉換葉轉換 久刖文單元 1309114 97、W修正替換頁 声941〇619〇號專利申請案 補充、修正後無劃線之說明‘修正頁一式三份 (PU)32。發射機14經由頻道16傳送資訊到該接收機18。 頻道16為含雜訊的頻道。該接收機18包含一串列至平 行轉換單元34,一快速傅立葉轉換(FFT)單元36,一串 列至平行轉換單元38,一最大可能(ML)估測器單元40 及一對映器單元42。 在發射機14端接收為二位元信號的型式中的資訊 且輸Λ對映器22以應用μ列文數(alphabet)的複數组的 型式進行對映或編碼而產生複數信號,然後用於調變或 備製載波信號以傳送該信號,此將於下文中加以說明。 發射機14經由頻道16傳送載波信號到接收機18處。以 時間為基礎之信號型式的載波信號經頻道16而導入雜 訊到載波信號中’如x[n],其對應到頻道16的頻道脈街 ^ ’如刚。該猶環疊積單元24在複數錢上執行循 —前文單元將循環前文(CP)附到複數信 ,之别導&或開始端,此有助於補償頻道 =,TDPR〇FDM信韻餘 次 中抑制信號間的干擾(ISI)。 干J人戟政 〇^ = _舰16料各料糾 疊積(convolution),在接收機丨8處 波(即互頻道)干擾(ICI),且道 生互-人载 有效的時域符號。由猶環疊料導=:因此縮短 該複數信號,如上文中所說明。基於i tICI到Compressed Ccompan-g; effectively reduces pApR, another method. However, with this method, there is a problem of _bandwidth expansion ί== effect processing multipath channel. The iteration rate === is a system and method for reducing the efficiency of the system and 4==== = OFDM system (8) _ hit and attenuation ^ spectral efficiency. %Transmission rate or [Invention content] -8 9 士 January 2nd 修正 Revision replacement page 1309114 Patent application No. 94106190 Supplementary, revised, unlined instruction sheet Revision III - Application - QFDM system provides execution A system and method for responding to a signaling in which a signal is transmitted via a partial f in the frequency domain. One of the characteristics is that the cyclic stack of data strings in the time domain is then converted into the domain, so that the time-shifting in the pre-launch is not reduced too much. Passing, the other aspect of the invention is a lion-diffusion polynomial, the polynomial =, the thin part of the spectrum message can be a part of the hidden part of the response signal has a near zero _ near zero vibration =: In the response signal, the peak in the frequency domain is removed = two: the sign is reduced in the time domain by the leg and allowed to be flat: the peak to the device encountered in the power domain with lower power: implementation] Please refer to FIG. 1, wave_J contains-transmitter 14, 1 is not; = system H), the system J system 10 uses time domain partial response (TDPR) J machine 18 ' which should now refer to the figure cyclical accumulation Tune the street. The transmitter frequency multiplex (ofdG 24, a series of columns including a pair of maps 22, an 3 (IFFT) unit 28 a parallel (four) column conversion leaf conversion long time unit 1309114 97, W correction replacement page sound 941 〇 619 The nickname patent application is supplemented and amended without a slash description 'Amendment page Triplicate (PU) 32. Transmitter 14 transmits information to the receiver 18 via channel 16. Channel 16 is a channel containing noise. The machine 18 includes a tandem to parallel conversion unit 34, a fast Fourier transform (FFT) unit 36, a tandem to parallel conversion unit 38, a maximum possible (ML) estimator unit 40 and a pair of map unit 42. The information in the pattern of the binary signal is received at the transmitter 14 end and the output mapper 22 performs the mapping or encoding of the complex array using the μ column number to generate a complex signal, which is then used for The carrier signal is modulated or prepared to transmit the signal, as will be explained hereinafter. Transmitter 14 transmits a carrier signal via channel 16 to receiver 18. A time-based signal type carrier signal is introduced via channel 16. Noise to the carrier signal 'like x[n], Corresponding to the channel of the channel 16 ^ '如刚. The eucalyptus unit 24 executes on the plural money - the preceding unit attaches the cyclic preamble (CP) to the complex letter, the other guide & or the beginning, this It helps to compensate channel =, TDPR 〇 FDM symphony for the rest of the signal suppression interference (ISI). Dry J people 戟 〇 ^ = _ ship 16 material convolution, in the receiver 丨 8 Intermittent wave (ie, mutual channel) interference (ICI), and the time-domain symbol of the inter-personal-human payload. The sub-band is guided by the hexacyclic ring =: thus shortening the complex signal, as explained above. Based on i tICI
該循環疊積器單元24導入卒絲//要的或產生的ICI V糸統的或熟知的分散量以產 - 1〇The cyclic stacker unit 24 introduces the ICI V system or the well-known dispersion amount of the desired or generated filaments to produce - 1〇
日修正替換頁 1309114 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 生-部份響應信號。在該系統1〇 +,該 :熟知的Μ階多項式⑽—循環叠積,該多項“式^義 cn=[c(0)c(1)...c(M-1)00...〇] 該PR多項式可以表示為具有M非零項之長产N的 ^入伽。__向量。所得到的時域符號向^以 表示如下 xn=IFFT[Xn®cn] 5中喊示為由循環疊積器單元24執行的循環疊 ,,在Μ個連續次載波上將:#訊分散在賴次符號卜 =,接收機18需要-序列偵測機構以解決該輸入的次 符號ΧΝ,且由ML债測器單元40執行。基於,具有CN 之循環疊義其他縣為縣铜 號Japanese Correction Replacement Page 1309114 Patent Application No. 94106190 Supplementary, amended, unlined manual revision page, triplicate, partial-partial response signal. In the system 1 〇 +, the well-known Μ-order polynomial (10) - cyclical accumulation, the multiple "form ^ cn = [c (0) c (1) ... c (M-1) 00... PR] The PR polynomial can be expressed as a gamma __ vector with a long non-N of M non-zero terms. The resulting time domain symbol is represented by ^ as follows: xn=IFFT[Xn®cn] 5 is shouted as The cyclic stack performed by the cyclic demultiplexer unit 24, on the consecutive consecutive subcarriers, the :# signal is dispersed in the sub-symbol =, the receiver 18 needs the -sequence detection mechanism to solve the sub-symbol of the input, And executed by the ML debt detector unit 40. Based on the other counties of the county with the CN
符號中攜帶一振輻訊息封如下: eN=IFFT{cN} 經 由適當的具有多項式向量 至cN,該接收機Η可以 ”文地抑制在〇靡時間符號一向量之某些部份中的能 ^例如考量從在P(r)h功率係數中得到的多項式組: V中 1309114 1ί: 、日修正替換頁 第94106190號專利申請牵 補充、修正後域線之!修正頁一式三份 從此一多項式產生的訊息封向量在各極限點有一零 值(nullh結果,在極限點的能量或在時域符號向量訊 息包的尾端的能量被有效地抑制且可以去掉。因此,循 環,積器,24在時域的極限點產生具有近零能量的 部份響應信號。 ,少系統PAPR最一般的方法為只要訊息封 (_)的振輕超過截割臨界值, 此;術的問題有雙重,第-為,信號的真實度二:) Γ第此峰值信號樣本使得信號u 縮方法的任何截割動作會導致頻域 内之頻寬擴大(但極微小)。又,五 64QAM等締調變,職割的有效性將減少。茨 壓縮擴張的另一種方法為盡 賺減輕,允許的頻寬= 二象有:刻: 且,此方法需要特別胃意多^ ,有f而 附/的方法中钱著使職‘法。再^需 >系統有效的編碼速率,此必需犧 減 礎之信號的部份響應信號可頻域為基 達成。該串列至平行轉換單由=至平行轉換單元26 鑪施主丞"恭收xJ A 26將部份響應信號從串列 28 =丁二=部份響應信號向肿丁單』 的轉;;以產生 為=亍销 響應信號的實部及虛部由A虛:串的 收。該單元將信號轉換為串_產生要傳二 1309114 ai ,U〇日修正替換頁 ,94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 份響應信號。 ,在請參考圖2⑻及2(b),以64個取樣的時間符號. 域符號向量上產生部份響應的效應。現在請參 ’以絕對值或振減示—64壓騎間符號,其 ,不如頻域中—組去掉選取的四分相移符 卿次符號,任何的星狀圖結: 的時應Γ虎。在圖2(b)中,應用近端點抑制 ,間符旎的壓縮中的數個對應使用 『: 式的對應之時間符號量。去掉 夕項 有性能_損,此端點的樣本,實際上沒 信號的-部份H作為傳送之部份響應 屋縮信號,HA翻不傳送錢量壓縮的時間 相當於傳送-。減少時間 解釋為額外一個頻寬。 &此係因為PR效應可以 在一實施例中,李絲1Λ * ^ 6“欠載波。系統中顯干:二為:⑽M系、统,其使用 對於M=1,2,3及,’4 ^ 或M=4階的PR多項式。 在各極限點處有6,8 12 ’ 16 ’ 24 ’ 32樣本被去掉(即 在BER * SNR中^16個樣本被去掉)。因此,當 OFDM時間符他的性此耗損時,在傳送 於,2,3 1的時間的分量為_。結果,對 24/64,及32/64十’即省的時間分別為12/64,16/64, 因此,節省的時心可:::%,25% ’ 37.5%及50%。 T 乂用於傳送額外的OFDM符號,及 13 1309114 〇日修正替換頁 第94106190號專利申請案 ' 補充'修正後無劃線之說明書修正頁一式三份 對應的頻寬增益,在一給定的時間量中可能的額外傳送 的量分別為23%,33%,60%及100%。 .如上所述,可以在額外的頻譜增加下,達到頻寬的 增益,將於下文中加以說明。顯然地,對於熟習本技術 者,在插入CP之前,OFDM信號Sl⑴可以表示成 4 ⑴=kJ Pk{t-kNAT} .其中N為FFT的長度,△τβ/Ν,且pk⑴為在[k_1]T, kT]中傳送之第κ個OFDM符號。 第11個si[n]等於Pk[m] ’脈波pk⑴的第m個樣本, 其中n=(m+kN)。在PR發信之一實施例中,在極限點的 d個次符號(d為偶數)從各個ofdm符號中被去掉,The symbol carries a ring-and-spoke message as follows: eN=IFFT{cN} By appropriate polynomial vector to cN, the receiver can arbitrarily suppress the energy in some parts of the time-symbol vector. For example, consider the polynomial group obtained from the power coefficient of P(r)h: V1309114 1ί: , Japanese revision replacement page No. 94106190, the patent application supplements, the modified domain line! The correction page is generated in triplicate from this polynomial The message envelope vector has a zero value at each limit point (nullh result, the energy at the limit point or the energy at the end of the time domain symbol vector packet is effectively suppressed and can be removed. Therefore, the loop, the accumulator, 24 The limit point in the time domain produces a partial response signal with near zero energy. The most common method for less system PAPR is as long as the vibration of the message seal (_) exceeds the cutoff threshold, this problem has a double, the first - For example, the trueness of the signal is two:) Γ The first peak signal sample causes any clipping action of the signal u-scaling method to cause the bandwidth in the frequency domain to expand (but is extremely small). In addition, the five 64QAM, etc. Have Sex will be reduced. Another method of compression and expansion is to make a reduction, the allowed bandwidth = two elephants have: engraved: and, this method requires a special stomach more than ^, there is f and attached / method in the money to work 'Method. Required> The effective coding rate of the system, the partial response signal of the signal that must be sacrificed can be achieved by the frequency domain. The serial to parallel conversion order is from = to the parallel conversion unit 26 furnace donor "Congratulation xJ A 26 will convert part of the response signal from serial 28 = Ding = partial response signal to swollen Ding single;; to produce = the real and imaginary part of the signal response by A virtual : The string is received. The unit converts the signal into a string _ to generate two 1309114 ai, U 〇 day correction replacement page, 94106190 patent application supplement, revised no scribe line correction page, a triplicate response signal. Referring to Figures 2(8) and 2(b), the time-symbol of 64 samples is used. The effect of the partial response is generated on the domain symbol vector. Now, please refer to the 'absolute value or the vibration-reduction--64 press-riding symbol. , not in the frequency domain - the group removes the selected quadrant shift symbol, any star Figure: The time should be smashed. In Figure 2(b), the near-endpoint suppression is applied, and the number of compressions in the inter-symbol is corresponding to the corresponding time symbol of the suffix. Loss, the sample of this endpoint, there is actually no signal - part H as part of the transmission response to the contraction signal, HA does not transfer the amount of compression time equivalent to transmission -. The reduction time is interpreted as an additional bandwidth. & This is because the PR effect can be in one embodiment, Lisi 1 Λ * ^ 6 "under carrier. The system is dry: the second is: (10) M system, system, which uses PR polynomial for M=1, 2, 3 and, '4^ or M=4 order. 6, 8 12 ' 16 ' 24 ' 32 samples were removed at each limit point (ie, 16 samples were removed in BER * SNR). Therefore, when the OFDM time is exponentially consumed, the component transmitted at time of 2, 3 1 is _. As a result, the time for 24/64, and 32/64 is reduced to 12/64, 16/64, so the savings can be:::%, 25%' 37.5% and 50%. T 乂 is used to transmit additional OFDM symbols, and 13 1309114 修正 修正 替换 替换 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 The amount of additional transmission possible in the amount of time is 23%, 33%, 60% and 100%, respectively. As described above, the gain of the bandwidth can be achieved with an additional spectral increase, as will be explained below. Obviously, for those skilled in the art, before inserting the CP, the OFDM signal S1(1) can be expressed as 4(1)=kJ Pk{t-kNAT}. where N is the length of the FFT, Δτβ/Ν, and pk(1) is at [k_1] The κ OFDM symbol transmitted in T, kT]. The eleventh si[n] is equal to the mth sample of Pk[m] 'pulse pk(1), where n=(m+kN). In one embodiment of PR signaling, the d sub-symbols at the limit point (d is an even number) are removed from each of the ofdm symbols,
此係因為被去掉的次符號的大小相當不具意義從OFDM 、號中去掉次符號在時域中產生一 TDPR-OFDM信號。 在PR發信的另一實施例中,去掉的次符號可以是PR信 | 號的任何部份。因此該TDPR-OFDM時間為基礎的信號 可以為具有(N-d)樣本的符號’其中第k個符號包含型式 為Pk(t)之樣本的次集,尤其是從第(d/2+1)到(N_d/2)樣 本。該TDPR-OFDM信號syt)可以以脈波串pk⑴的型式 表示為: s2(t) = , Σ p'k{t-k(N-d)AT} K=—00 其中脈派p,k⑴及Pk(t)的關係為: •*14 1309114This is because the size of the removed sub-symbol is rather insignificant. The OFDM is removed from the OFDM, and the sub-symbol produces a TDPR-OFDM signal in the time domain. In another embodiment of the PR signaling, the removed sub-symbol may be any part of the PR signal. Thus the TDPR-OFDM time-based signal can be a symbol with a (Nd) sample 'where the kth symbol contains a subset of samples of the form Pk(t), especially from the (d/2+1) (N_d/2) sample. The TDPR-OFDM signal syt) can be expressed in the form of the pulse train pk(1) as: s2(t) = , Σ p'k{tk(Nd)AT} K=-00 where the pulsations p, k(1) and Pk(t) The relationship is: • *14 1309114
第.94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份Patent Application No. 94106190 Supplementary, amended, unlined manual amendment page in triplicate
Pk(t) = Pk{t + (^ + l)AT}. rect{—_^δτ) 其中rect(t)=l,其中te[〇,1],否則為0。 由式(1) ’如圖9,表示之虛擬隨機信號的功率頻譜 密度可以從s丨⑴的自相關函數計算得之。顯然地,〜⑴ 的自相關定義在區間[-ΝΔΤ,ΝΔΤ]之間。此必需將Pk⑴ 限制於〔0,ΝΔΤ〕,且需要不同OFDM符號為〇均值且 不相關。s“t)的自相關相同於脈波pk⑴的集群 (ensemble),即 Rs(t)= Rp(t)。從 pk(t)中得到脈波 p'k (t), 因此: RP,(t)=RP(t)-rect{2(N--d)AT} 所以,連續時間TDPR-OFDM信號s2⑴的PSD Sp,⑴ 與式⑴之規則OFDM信號的PSD Sp(f)有下列關係:Pk(t) = Pk{t + (^ + l)AT}. rect{—_^δτ) where rect(t)=l, where te[〇,1], otherwise 0. The power spectral density of the imaginary random signal represented by equation (1)' as shown in Fig. 9 can be calculated from the autocorrelation function of s 丨 (1). Obviously, the autocorrelation of ~(1) is defined between the intervals [-ΝΔΤ, ΝΔΤ]. This necessitates limiting Pk(1) to [0, ΝΔΤ] and requires different OFDM symbols to be mean and irrelevant. The autocorrelation of s "t) is the same as the ensemble of the pulse wave pk (1), that is, Rs(t) = Rp(t). The pulse wave p'k (t) is obtained from pk(t), therefore: RP, ( t)=RP(t)-rect{2(N--d)AT} Therefore, the PSD Sp of the continuous time TDPR-OFDM signal s2(1), (1) has the following relationship with the PSD Sp(f) of the regular OFDM signal of the formula (1):
Vf)=FTVt)}=FTRp(t).rect^ =(2(iV-〇A DSP(/)*sinc(2(N-d)/Zl T) α *smc(2(N-d)f Δ Τ) 其中*表示疊積。對於Μ=4 ’ d約等於Ν/2,意指頻 寬增加sinc(fT)的因素。此頻域中此因素的衝擊’與可能 經TDPR-OFDM可能的大頻寬增益比較下,當M=2,且 選擇d==N/2時是可以忽略不計的。 TDPR-OFDM信號有部份的時間符號被抑制住。選 15 1309114 心#修正替換頁 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁—式三份 擇循壞=積乡項式使得㈣㈣份傾向 限點,甚至當選擇多項式以抑制〇FDm ^付瘦的極 如中間部份。在本發明的實施例中,在^寺’ 點住應用抑制功能。因為頻域子間付旒的極限 L。在接收機18處,CP負载所有的⑻ = 供Ϊ輕易,掉。因此,具有cp== 的技術/雜之姐不而載波及互次載波(即互頻道)干擾 =。選擇循環式的前文或定義的cp為符號的最後L 加到開端。對於本例子中的贿侧Μ, 多項式的一階使得抑制之次符號的數目 加到截η °因此’ CP將簡單地包含L排之附 以k[_次符號(即均為G)。因此其優點 為在DPR_OTDM巾制的CP具有較少或不具能量。 ^頻道16傳送部份響應域且在接收機18處接收 j號’作為傳送之部份響應信號。在串列至平行轉換 34中接收傳送的部份響應信號且轉換為平行傳送 執^伤響應信號,且通過FFT單元36。該FFT單元% =為IFFT單元28執行之轉換的反轉換,但是將以時 承,礎的信號轉換為以頻域為基礎的信號以產生轉換 鍥Γί傳送之部份f應信號。該轉換的平行傳送之部份 轉言號通過該平行至串列轉換單元38。該平行至串列 、單7C 38將轉換的平行傳送之部份響應信號轉換為 16 年,月,曰修正替換頁 1309114 ❾㈣⑽/書修正頁一式三份 一轉換的傳送之部份響應信號。該轉換的傳送之部份響 應信號通過該最大可能(ml)偵測單元40。該ML單元4曰0. 拆解該轉換的傳送部份響應以產生或回•復以複數為基礎 的信號。該解對映器轉換將以複數為基礎的信號^ 一 位元串,再從接收機端輸出。 ”、、一Vf)=FTVt)}=FTRp(t).rect^ =(2(iV-〇A DSP(/)*sinc(2(Nd)/Zl T) α *smc(2(Nd)f Δ Τ) where * denotes the overlap. For Μ = 4 'd is approximately equal to Ν/2, which means the factor of increasing the bandwidth sinc(fT). The impact of this factor in this frequency domain' and the possible large bandwidth gain of TDPR-OFDM In comparison, when M=2 and d==N/2 is selected, it is negligible. Part of the time symbol of the TDPR-OFDM signal is suppressed. Select 15 1309114 Heart #Revision Replacement Page 94106190 After the case is supplemented and revised, there is no line to amend the manuscript correction page - the three choices are bad = the township term makes the (four) (four) part of the tendency limit, even when the polynomial is selected to suppress the 〇FDm ^ thin as the middle part. In the embodiment of the present invention, the application suppression function is clicked at the temple. Because of the limit L of the frequency domain sub-interval, at the receiver 18, the CP loads all (8) = supply Ϊ easily, so. == The technology/missing sister does not interfere with the carrier and mutual subcarrier (ie mutual channel) =. Select the cyclical prefix or the defined cp as the last L of the symbol to add to the beginning. For the bribe in this example,The first order of the polynomial causes the number of suppressed sub-symbols to be added to the truncation η ° so 'CP will simply contain the L-sequences with k[_th order symbols (ie, all G). Therefore, the advantage is that the CP in the DPR_OTDM towel system Has less or no energy. Channel 16 transmits a partial response field and receives the number j' as a partial response signal at the receiver 18. The transmitted partial response signal is received in the serial to parallel conversion 34 and converted The response signal is transmitted in parallel and passed through the FFT unit 36. The FFT unit % = is the inverse of the conversion performed by the IFFT unit 28, but converts the time-based signal into a frequency domain based signal. The portion of the conversion transmitted by the conversion signal is generated. The portion of the parallel transmission of the conversion passes through the parallel to serial conversion unit 38. The parallel to serial, the single 7C 38 will convert the parallel transmission portion The response signal is converted into a 16-year, month, 曰 correction replacement page 1309114 ❾ (4) (10) / book correction page, a partial response signal of the transmission of the conversion, the partial response signal of the transmission is detected by the maximum possible (ml) Unit 40. The ML unit 4曰0. Disassemble the transmitted partial response of the conversion to generate or return a complex-based signal. The de-converter converts the complex-based signal ^one-bit string, and then receives from Machine output. ",, one
在本發明的較佳實施例中,一嶄新的技術為執行 OFDM系統執行部份響應發信,係基於應用到信 號的相關性編碼原理,其中該OFDM的時間及頻率被^ 換掉(swap)。圖3的方塊圖顯示該實施例之步驟,而具 有相同編號的方塊執行圖1之對等方塊相同的功能。八 #進入左側的時域信號應用一熟知的多項式進行疊積 ,算。疊積的效應為改變頻域中的信號的頻譜,而 量局部在頻譜的某些部份。該局部化的動作允許吾人^ 縮單元150中有效的系統頻寬。因此,可以使用&少的 頻寬傳送更多的能量。轉換器單元運算之結果為在^收 機端使用一序列偵測器40。 來自疊積器24的疊積信號在串列至平行轉換單元 26中進行串列至平行的轉換,其中在向量中的配置為 FFT中操作’其對於進入的向量進行傅立葉轉換。 如上所述,疊積的效應在於抑制F-T表示法中開端 及末尾的振幸昌。 ^ 在圖的中心,在反傅立葉轉換單元28執行—反傅立 葉轉換後,方塊150對於FD信號進行頻譜壓端。平行 至串列轉換單元30使得串列信號通過頻道16,其轉換 17 1309114 97.11. 曰修正替换頁 第94106190號專利申請荦 補充、修正後無劃線之g明'昝修正頁一式三份 到RF頻率,且沿該頻道放大並傳送。因此, 26官36,15G,28及3G的結果為時域 元 頻寬與進入信號比較下較窄。 甲幻乜唬,其 在接收機端,執行反向處理。 元34轉換為平行信號,且由單 Ζ列信貌由單 器160將雜訊及在通過頻道 ^頻域。等化 接收機應用任何傳統上使用反,去棹。 產生等化器㈣以清潔信號相頻道的致應, 然後進入等化器160的輸出在 域信號,再由單元38轉換回串;^,28中=矣回頻 加以偵測,其中該偵測器圖,偵測40中 器,其偵測信號,且在該程序中^偵测 的,,混合,’解除掉。解對映器42二在二積器24中進行 的符號。 轉換已處理到位元串中 最好,在傳送兩端的硬體 多項式正製備該信號,即應道那—個疊積器使用的 表列。另外,發射機14可;同意的方式經一多項式 使用之多項式的接收機中,功性地傳送一碼到指示將 限數目之多項式中將使用^者是接收機可以估計一有 因此在時間及頻率中编式。 150, 28及38在發射機中?、有10個單元(26 ’36, 收機中)轉換四次,以勃 ,36,160 ’ 28 ’ 30在接 在同時,文中說明的二員f壓縮及等化。 導致有順序的時域信號。^#份響應(FDPR)發信技術 〜貢降上’可以預測傳送信號一In a preferred embodiment of the present invention, a new technique for performing partial response signaling for performing an OFDM system is based on a correlation coding principle applied to a signal, wherein the time and frequency of the OFDM are swapped. . The block diagram of Figure 3 shows the steps of this embodiment, and blocks having the same number perform the same functions as the equivalent blocks of Figure 1. Eight # Enter the time domain signal on the left side to apply a well-known polynomial for the accumulation and calculation. The effect of the overlap is to change the spectrum of the signal in the frequency domain, while the amount is locally in some part of the spectrum. This localized action allows us to reduce the effective system bandwidth in unit 150. Therefore, more energy can be transmitted using & less bandwidth. The result of the converter unit operation is the use of a sequence of detectors 40 at the receiver. The stacked signals from the stacker 24 are serial-to-parallel converted in the tandem to parallel conversion unit 26, where the configuration in the vector is the operation in the FFT, which performs a Fourier transform on the incoming vector. As described above, the effect of the superposition is to suppress the vibration of the beginning and the end of the F-T representation. ^ At the center of the figure, after the inverse Fourier transform is performed by the inverse Fourier transform unit 28, block 150 performs spectral compression on the FD signal. The parallel-to-serial conversion unit 30 causes the serial signal to pass through the channel 16, which converts 17 1309114 97.11. 曰Revised replacement page No. 94106190 Patent application 荦Supplement, correction, no scribe line, 昝Revision page, triplicate to RF Frequency and zoom in and transmit along the channel. Therefore, the results of 26, 36, 15G, 28, and 3G are narrower than the time-domain bandwidth and the incoming signal. A phantom, which performs reverse processing on the receiver side. The element 34 is converted to a parallel signal, and the noise is transmitted from the single channel 160 by the single-column signal and in the channel frequency domain. Equalize the receiver application to any traditional use of reverse, go. The equalizer (4) is generated to clean the response of the signal phase channel, and then enters the output of the equalizer 160 in the domain signal, and then converted back to the string by the unit 38; ^, 28 = 矣 矣 frequency is detected, wherein the detection The device maps the 40-sense device, detects the signal, and detects, mixes, and 'disconnects' in the program. The symbols of the decomposer 42 are performed in the secondizer 24. The conversion has been processed into the bit string. Preferably, the hardware polynomial at both ends of the transfer is preparing the signal, that is, the table used by the stacker. In addition, the transmitter 14 can; in a preferred manner, a polynomial receiver used by a polynomial, functionally transmitting a code to indicate that the number of polynomials will be used; the receiver can estimate that there is therefore time and Edited in frequency. 150, 28 and 38 in the transmitter? There are 10 units (26 ‘36, in the receiving machine) converted four times, and Bo, 36,160 ′ 28 ’ 30 are connected at the same time, the two members of the article f compression and equalization. Causes a sequence of time domain signals. ^#份响应(FDPR) signaling technology ~ 贡降上' can predict the transmission of a signal
1309114 月9 n日修正替換頁I 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 般支援的振輻大小。信號包含有限數之將開始的振輻級 • 數。在另一信號中的尖峰振輻將在一 RF功率放大^之 . 線性傳送能力的均值内。對於PARR的優點為提出之?11 技術的結構。最後在料錢巾的離散型柄振轄使得 吾人使用比傳統可能方法之更有效率的功率放大方法。 已顯示先前模擬的結果可以減少系統pARR到 3dB。其優點為可以配置額外的頻譜增益。吾人顯示系统 • 的頻譜f00tPrint在此本方法後可以減少超過50%。在 AWGN頻道中未編碼能量的舰模擬顯示可以預期達 到ltHdB之有用性能。在5分接…㈣的Ra㈣h衰 減頻道中’吾人發信未編碼的3χΐ0·3的BER可以 25-27dB SNR 時達成。 ' ' 本發明經由同時解決兩項問題而不包含—者或他者 f解決兩個相關的問題。解決的問題為在多載波系統中 :’/通f魏PARR減少m寬擴充者。 必需瞭解㈣㈣寬對於多毅純巾的峰對平均問題 t衝擊。例如’在0FDM系統中的PARR正比於次載 U二1於一給定的次載波間隔,次載波數N愈大’ mi 。反之,任何減少PAPR的技術通常必 =頻寬及PAPR的_之間執行妥協 如裁割㈣^ "Τ 乂注思到的頻寬增加。成料^ # = _胃$ + & & + 式,其改進賺鱗Amy方 本發明提供—種_部份響應發信方法,其減少系 19 :替换頁 1309114 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁—今_ 八二份 統的頻寬而改進PAPR。 減少系統PAPR最〜般的方法為只要訊息封 ' (enVd〇Pe)的振輻超過_臨界值,即截割該臨界信號。 ..此技術的問題有雙重,第〜為,信號的真實度(fidelity) 下^此仙為制高峰值㈣樣本使得㈣的能量下 降。第二為,振幅_方法的補制動作會導致頻域 内之'頻寬擴大(但極微小)。又,吾人使用16QAM或 # 64QAM等高階調變,則截割的有效性將減少。 壓縮擴張方法為一種產生令人印象深刻之PApR減 少的改進β但是此方法所產生頻寬的減少大於由截割方 式產生者。而且,此方法不會產生多路徑頻道的問題。 在過去也试著使用編碼方式以減少PAPR。該項妥協係減 少系統的有效編碼速率,其代價為必需增加頻寬。 本發明以下列更進一步的方法改進早期的解決方 式。 使用本發明的方法有可能同時減少PAPR且也減少 響信號的頻讀寬度’此又導致減少頻譜效率的增益。比較 上,習知技術對於減少PAPR的方法其代價為必需犧牲 頻寬。 : 與大部份處理PAPR之熱門方法比較下戴割,對於 FD-PR OFDM,本發明的信號能量的耗損較少。但是信 號偵測的複雜度也較高,吾人希望在較高snr 得到較好的BER。 / 與似成對方法的技術比較下,此技術維持或減少信 —20 1309114 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 號頻^,而提供PAPR的改進。不似成對方法,本發明 可以簡單地減少的頻率選擇的頻道上。 本發明的缺點為偵測的複雜度高’但是由於vlsi 及1C技術上的進度可以達到較大的複雜度以進行處理。 夕本發明的優點為可以將結合與使用適當等化器的 PR夕項式結合。因此可以在前置濾波器而一次完成等 及積測的作業。 ^據本發明的FDPR發信包含交換信號空間(域) 且α後對於時域壓縮進行某些系統改變。參考圖3的方 f圖使极此顯示PR_〇FDM系統的示意信號流程。參考圖 於對於傳統0FDM '系統的第一類修改,係將信 構始(非頻域)將輸入對映 速傅立符號x[k]。在x[k]上使用快 量點χΛ轉換(FFT)得到在頻域上調變次載波的複數能 I點fN。在圖9中的式!表示頻域基頻信號。 =多項式將基本上為^视,QPSK__ 在所得°里的0FDM時間符號接受循環疊積的操作。現 在所件到的㈣: 子下現1309114 Month 9 n-day correction replacement page I Patent application No. 94106190 Supplementary, revised, unlined manual revision page in triplicate. The signal contains a finite number of amplitudes that will begin. The spikes in the other signal will be amplified within the mean of the linear power transfer capability of an RF power. What are the advantages of PARR? 11 The structure of the technology. Finally, the discrete handle of the money towel allows us to use a more efficient power amplification method than the traditional method. The results of the previous simulation have been shown to reduce the system pARR to 3dB. The advantage is that additional spectral gain can be configured. The spectrum f00tPrint of our display system can be reduced by more than 50% after this method. A ship simulation of unencoded energy in the AWGN channel can be expected to achieve useful performance of ltHdB. In the 5 (5) Ra (four) h attenuation channel, the BER of the unencoded 3χΐ0·3 can be achieved at 25-27dB SNR. The invention solves two related problems by solving two problems at the same time without including one or the other. The problem solved is in a multi-carrier system: '/pass f Wei PERR reduces the m-width expander. It is necessary to understand (4) (4) wide for the peak of the multi-purpose pure towel to the average problem t impact. For example, 'PARR in an OFDM system is proportional to the secondary carrier U ii at a given secondary carrier spacing, and the number of secondary carriers N is larger ' mi . Conversely, any technique that reduces PAPR usually must be compromised between bandwidth and PAPR, such as cropping (4)^ "Τ The bandwidth is increased. Ingredients ^ # = _ Stomach $ + && +, which improves the earning scale Amy side The present invention provides a kind of _ partial response signaling method, the reduction system 19: replacement page 1309114 Patent application No. 94106190 After the correction, there is no scribe line correction page - the current _ 8.2 system bandwidth to improve PAPR. The most common way to reduce the system PAPR is to cut the critical signal as long as the vibration of the message envelope (enVd〇Pe) exceeds the _threshold value. The problem of this technology is double, the first is -, the fidelity of the signal is the height of the peak (four) sample makes the energy of (4) down. The second is that the complementing action of the amplitude_method causes the 'bandwidth' in the frequency domain to expand (but very tiny). Also, if we use high-order modulation such as 16QAM or #64QAM, the effectiveness of cutting will be reduced. The compression expansion method is an improved beta that produces an impressive PApR reduction but the resulting bandwidth reduction is greater than that produced by the cut mode. Moreover, this method does not create a problem with multipath channels. In the past, I also tried to use coding to reduce PAPR. This compromise reduces the effective coding rate of the system at the expense of increased bandwidth. The present invention improves upon earlier solutions in a further, further manner. Using the method of the present invention, it is possible to simultaneously reduce the PAPR and also reduce the frequency read width of the ringing signal' which in turn results in a reduction in spectral efficiency gain. In comparison, the cost of conventional techniques for reducing PAPR is that the bandwidth must be sacrificed. : Compared with most popular methods of processing PAPR, the signal energy loss of the present invention is less for FD-PR OFDM. However, the complexity of signal detection is also high, and we hope to get a better BER at higher snr. / Compared with the technology of the pairwise method, this technique maintains or reduces the letter of the patent application No. 94106190, which is supplemented and amended, and the revised page without the scribe line is provided in the form of a triple copy of the frequency, and provides an improvement of the PAPR. Unlike the pairwise method, the present invention can be simply reduced on the frequency selected channel. A disadvantage of the present invention is that the complexity of the detection is high, but due to the progress of the vlsi and 1C techniques, a large complexity can be achieved for processing. An advantage of the present invention is that the combination can be combined with a PR temperament using an appropriate equalizer. Therefore, it is possible to perform the equal-integration and measurement operations at one time in the pre-filter. The FDPR signaling according to the present invention contains an exchange signal space (domain) and alpha undergoes some system changes for time domain compression. Referring to the square diagram of Fig. 3, the schematic signal flow of the PR_〇FDM system is shown here. Referring to the first type of modification to the conventional OFDM system, the initial (non-frequency domain) input will be input to the mapping fast Fourier symbol x[k]. A fast point-to-point conversion (FFT) is used on x[k] to obtain a complex energy I point fN of the subcarrier in the frequency domain. In the formula in Figure 9! Indicates the frequency domain baseband signal. The polynomial will be essentially a view, and QPSK__ accepts the cyclically stacked operation in the 0FDM time symbol in the resulting °. Now (4):
X'n = Xn 0 cN 個。符號表示循環疊積。此循環疊積的結果者而 ,在%個連續時間樣本的時域次符垆'卜八 收機端的制4。其中一==資 拆解該輪人的次符號x[k],b=G,...,叫。貞機構以 21 年月日修i替換荀 97.11. 2 0 一__^—」 1309114 第94106190號專利申請案 補充、修正後無劃線之說明^修正頁一式三份 具有CN之循環疊積的第二個結果為信號頻譜χΝ可 以進行時間平均的運算,其為 eN=FFT{cN} 一使用多項式的動機當深入檢查此訊息封時變得相 當明顯。6知選擇多項SeN,使得可以將能量局部在部 份的頻譜訊息封eN。結果,假設Gn由pW+ ^的功率的 係數組成,其中 PW=(l-r)M,M==1,2,... 到-ϊ ΐ Ϊ式子中_多個多項式集,對於各M可以得 有-ί佶;“士5〜件到的頻譜訊息封eN在各個極限點 中@θ+ 在〇FDM信號基頻頻譜的兩個極限點 參考圖4,上;;,=樣,封。 大部份的能量。能量ilr 定位此信號頻譜中 些例子中,隨著pr發信m增加。在某 並不欠載波(即不傳送) 頻,信號,且達到得吾人可以在 個次载波。i人將傳、二義次載波’從任一端去掉d/2 去掉的其個次載波)表示成 七號(d個次載波)表示為Xrd。吾 ^2 1309114 g 94106190號專利申請案 丨』ΛηΏ_] 補充、修正後無劃線之說明書修正頁一式三份 士定義γ(Φ為振輻抑制,此係 傳送的N-d個次载波,在圖為^封,之故。應用 的公式。 顯不吾人得到Y(d) 吾人注意到在4 的係數中得到。 、CN中的項目從圖9之式3 從式2及3中可知由圖9可的 可以看到當吾人增加一給定之^ =制因素7(d)。 跟著增加,且對於—固定的d值:^長度。 階數Μ時’則減少。從圖4中可以看::人增加 γ⑷為d次载波之頻寬a=d/N的分 改變。 去掉殘餘次符號Xrd所得到之 既=d/N表示由 顯干^咖触㈣益。在圖5的y轴中, =udB表不的功能能量(對應頻譜中的總能量)。可 ,^出FD-PR 〇FDM頻譜中超過25%攜帶少於ι%的信 號,量。而且,隨著PR階數Μ能量快速減少。此能i 的分佈方式使得吾人可以減少頻譜的跡痕(foot print)。 在下文中經由使用PR_〇FDM量化可能之PAPR的 減少°必需瞭解(從中央極限定理)中得知對於一規則 的0FDM系統,對於大的FFT長度,由 XRe及Xlm表不 的信號分量傾向於高斯分佈Ν(0,σ2/2)。對於規則的 0FOM系統’瞬時功率σ2=Χκ^2 + Xlm2 ’可以從圖9的式 5中看出其為指數PDF。 也瞭解次符號x[k]為獨立的,此係因為其為高斯分 佈且不相關。然後在不同時間點的訊息封可以模組化為 23 1309114X'n = Xn 0 cN. The symbol indicates cyclic stacking. The result of this cyclical accumulation is that the time domain of the % consecutive time samples is 次'b. One of them == capital dismantling the sub-symbol x[k], b=G,..., called.贞 以 以 荀 . . . . . 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 荀 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 The second result is that the signal spectrum χΝ can be time-averaged, which is eN = FFT{cN}. The motivation for using a polynomial becomes quite obvious when the message block is examined in depth. 6 knows that a plurality of SeNs are selected, so that the energy information can be partially eN in the part of the spectrum information. As a result, it is assumed that Gn is composed of coefficients of power of pW+^, where PW=(lr)M, M==1, 2,... to -ϊ ΐ Ϊ _ _ 多个 多个 多个 多个 多个There are - 佶 “ “ “ 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱 频谱Part of the energy. Energy ilr positioning in this signal spectrum, in some examples, as the pr transmission m increases. In a certain carrier that does not owe the carrier (ie, does not transmit) frequency, and the signal can reach the subcarrier. The person transmits the binary and second-order subcarriers, and removes the sub-carriers from which d/2 is removed from any end. It is expressed as number 7 (d sub-carriers) as Xrd. I ^2 1309114 g 94106190 Patent Application 丨』ΛηΏ_ ] Supplementary, modified, unlined instruction correction page, one-piece three-word definition γ (Φ is vibration suppression, this system transmits Nd sub-carriers, the figure is ^ seal, the reason. Applicable formula. Obtaining Y(d) is noted in the coefficient of 4. The items in CN are from Equation 3 of Figure 9 from Equations 2 and 3, as can be seen from Figure 9. We add a given ^ = system factor 7 (d). Followed by the increase, and for - fixed d value: ^ length. When the order Μ ' then decrease. From Figure 4 can be seen:: people increase γ (4) for d times The carrier's bandwidth a=d/N is changed. The residual sub-symbol Xrd is obtained, and the =d/N is expressed by the explicit touch. In the y-axis of Fig. 5, the function of =udB is not shown. Energy (corresponding to the total energy in the spectrum). Yes, more than 25% of the FD-PR 〇FDM spectrum carries less than 1% of the signal, and the energy decreases rapidly with the PR order. The distribution method allows us to reduce the footprint of the spectrum. In the following we quantify the possible PAPR reduction by using PR_〇FDM. It is necessary to understand (from the central limit theorem) that for a regular OFDM system, for large The FFT length, the signal component represented by XRe and Xlm tends to have a Gaussian distribution Ν(0, σ2/2). For the regular 0FOM system 'instantaneous power σ2=Χκ^2 + Xlm2 ' can be from Equation 5 of Figure 9. It is seen that it is an index PDF. It is also known that the subsymbol x[k] is independent because it is Gaussian and irrelevant. In the message at different time points can seal the module into 231,309,114
第94106190號專利申請案 補充、修正後無劃線之說明/^修正頁_式三份 獨立且相同分佈(i ’ i,d)的隨機變數,各分佈如式$。將 有序統計應用到此鱗巾,财以從圖9式6巾顯 值功率PDF。 吾人可以使用式6中的PDF計算k的第一動量, 且顯不預期科值訊息封的功率值與FFT的長度有關。 比照上’對於FO-PR單一的〇FDM系、統,吾人應用一順 序變動的時域L號開始該作業。此動作在及EFT 信?空間交換之後’但是在執行循環疊積之前。理想上, 此信號為-GdB # PAPR。吾人使用上述定義的多項式 以執行PR發信。f際上,係希望維持構象上的能量不 變’因此可以使得^正規化而具有單元的模(n_),及 圖9之式7中顯示的波形Cn。 在此一方面,對於在此文中說明的FD_pR〇FDM系 ,可以解析PAPR。假設現在執行pR發信,但是維持所 得到信號的全頻譜構象,但是維持所得龍譜的全頻諸 構象(即無去掉的次載波)。對於QpsK寫人的峰值訊息 封振輻(文中所考量者)可以由圖9之式的簡單模擬顯 示出來。 對於M+1項取平均值,料餘的絲法對於Cn 只有(M+1)個有意義的項目。由上文可知,目9的式9 顯示該信號的峰值瞬時功率。Patent Application No. 94106190 Supplementary, Corrected, Unlined Explanation/^Revision Page_Triple Three random variables of independent and identical distribution (i ’ i,d), each distribution being of the formula $. Apply the ordered statistics to this scale towel, and display the power PDF from Figure 9 and Figure 6. We can use the PDF in Equation 6 to calculate the first momentum of k, and it is expected that the power value of the value message block is related to the length of the FFT. In contrast, for the FO-PR single 〇FDM system, we use a time domain L number that changes sequentially to start the operation. This action is in the EFT letter? After space swapping' but before performing cyclic stacking. Ideally, this signal is -GdB # PAPR. We use the polynomial defined above to perform PR signaling. In the case of f, it is desirable to maintain the energy of the conformation unchanged. Therefore, it is possible to normalize the mode (n_) of the cell, and the waveform Cn shown in Equation 7 of Fig. 9. In this aspect, PAPR can be resolved for the FD_pR〇FDM system described herein. Suppose now that pR signaling is performed, but the full spectrum constellation of the resulting signal is maintained, but the full frequency constellations of the resulting dragon spectrum (i.e., no removed subcarriers) are maintained. The peak message for QpsK writers (the one considered in the text) can be shown by the simple simulation of Figure 9. For the M+1 term to average, the remaining wire method has only (M+1) meaningful items for Cn. As can be seen from the above, Equation 9 of Table 9 shows the peak instantaneous power of the signal.
假設每符號傳送的平均能量為單位能量,結論為圖 9表示在Μ階之FDPR-OFDM系統中碰到的pApR。 現在檢查對於不同]V[值模擬時,對於FDpR_〇FDM -24 1309114 9·ΛΛο日修正替換頁 第94106190號專利申請案 補充、修正後無劃線之說明書修正頁一式三份 —Assuming that the average energy per symbol transmission is unit energy, it is concluded that Figure 9 shows the pApR encountered in the FDPR-OFDM system of the order. Now check for different]V[value simulation, for FDpR_〇FDM -24 1309114 9·ΛΛο日修正 replacement page No. 94106190 Patent application Supplementary, revised unlined manual revision page in triplicate —
信號的PAPR結果。對於每一例子,模擬超過某一 pApR 臨界值的機率。互補CDF (CCDF)曲線顯示有圖6中。 實體垂直線表示當在全頻寬模式(即是去掉次符號沒有 頻寬減少,只有PAPR增益的情況)時之伙^汉的^。 计异邊際從圖9中得到’一般化的〇fdm系'統有一 PAPR ’即l〇l〇gl()(N),實際上對於N==64的觀察值為 12-13dB。因此,在圖6中的曲線顯示7_如^下的pApR 的改進,其係使用頻域的PR-0FDM。其實體的線為當依 據本發明之PR-OFDM也用於保存頻寬時PApR的圖。 吾人去掉在頻寬模式中的d次載波,基本上微微地超過 圖9的峰值邊界。但是,有圖6中可以看到pApR的淨 增只有M.5dB。因此,甚至在頻寬模式中,仍可達到 PAPR 遷移的 6-7dB。 對於應用QPSK調變之FDPR-OFDM信號,已使用 維持比演算法模擬在LOS頻道中一最大可能的接收機。 在對於PR順序,於強視線(L〇s)叛道假設(即AWGN 環境下)作業的BER,當M=1,2,3時,係顯示在圖7 中。在AWGN頻道中得到的BER與一正規化OFDM系 統的BER比較。實線表示當不需要頻譜增益(全頻寬模 式)時PR-OFDM錯誤率。當經由去掉低能量的次載波 而實際上保留頻寬時,以實線表示。具方塊標示的線為 正規化OFDM的參考線。這些結果只應用在l〇s頻道, 其結果很令人滿意。對於5χΐ〇·4的BER,存在l_3dB之 SNR的耗損’即增加SNR以維持BER。在高階M下的 25The PAPR result of the signal. For each example, simulate the probability of exceeding a pApR threshold. The complementary CDF (CCDF) curve is shown in Figure 6. The solid vertical line indicates when the full-bandwidth mode (that is, the case where the sub-symbol has no bandwidth reduction and only the PAPR gain) is removed. From the difference of the margin, the 'generalized 〇fdm system' has a PAPR ′, that is, l〇l〇gl()(N), and the observed value for N==64 is actually 12-13 dB. Therefore, the curve in Fig. 6 shows an improvement of pApR under 7_, which uses PR-0FDM in the frequency domain. The line of its entity is a map of PApR when PR-OFDM according to the present invention is also used to preserve bandwidth. We removed the d-subcarrier in the bandwidth mode, which slightly exceeded the peak boundary of Figure 9. However, it can be seen in Figure 6 that the net increase in pApR is only M.5 dB. Therefore, even in the bandwidth mode, 6-7dB of PAPR migration can be achieved. For the FDPR-OFDM signal to which QPSK modulation is applied, a maintenance ratio algorithm has been used to simulate a maximum possible receiver in the LOS channel. In the PR order, the BER of the job in the strong line of sight (L〇s) rebellious hypothesis (ie, in the AWGN environment), when M = 1, 2, 3, is shown in Figure 7. The BER obtained in the AWGN channel is compared to the BER of a normalized OFDM system. The solid line indicates the PR-OFDM error rate when spectral gain (full bandwidth mode) is not required. When the bandwidth is actually preserved by removing the low energy subcarrier, it is indicated by a solid line. The lines marked with squares are the reference lines for normalizing OFDM. These results are only applied to the l〇s channel, and the results are very satisfactory. For a BER of 5 χΐ〇 4, there is a loss of SNR of 1-1 dB, i.e., the SNR is increased to maintain the BER. 25 under high-order M
1309114 第94106190號專利申請案 — 補充、修正後無劃線之說修正頁—式三份 trr因為在ml_器中減少瞬眼 額外的故。有趣的是’當使用錢寬模式時, =的而進行不均勻地改變^=1時的最大 耗才貝’微小於1.5dB時。]Vf=3吐 ^ . 當Μ=2時有約〇.25dB的4時^為0•葡。 PR發信比奇數时佳胃。纽例子+,偶數階的 μ取後制見料選擇的蒙地卡羅模擬計算 BER。假 為2及5的娜喻衰減。在本例中,在頻域中 迫零化等化器(ZFE)進行頻道補償。雖然ZFE劣 T,SE或DFE,但是ZFE、維持簡單的等化器,且作 為/、其他系統比較下的參考。對於3χ1〇·3的標地ber, 必需具有最低階PR信號的23dB的SNR。當從正規化 OFDM到M=1,2,3時,所付出之SNR增加的代價分 別為3dB,2.5dB或2dB的級距。對於給定BER的操作 SNR當應用省頻寬模式時,只有邊際上的改變。邏輯上 似乎顯示在衰減頻道中只要可能的話使用省頻寬模式中 的FD-PR發信。對於一 5標示的BER時SNR頻寬顯示 在圖8中。似乎趨勢似2標示的頻道,只是在SNR中有 1到2dB的耗損。必需瞭解對於m=2全PR模式且省頻 寬模式幾乎重疊,此同於AWGN頻道的趨勢。 使用相位調變固定訊息封放大器之FD-PR發信的另 一實施例的優點為時域信號包含有限組的振輻準位。在 該例子中,在RFPA中設計中的焦點從一維持的線性關 係向維持的相位平衡移動。此方法的優點包含在接收機 26 1309114 第94106190號專利申請幸 補充、修正後無繼之^“修正頁—式三份 沾古^ 在接收機側,相當的優點為良好性能需要 制中1 ®、道加PR多項式)的記憶體。當減少下列谓 #之料^數之情況數時,此簡化也減少系統的 複雜度。 熟習本技術者必需瞭解配置本發明之方便的方式為 =體型式實現本發明在—料QFDM系統之DSP處理1309114 Patent Application No. 94106190 - Supplementary, Corrected, Unlined Correction Page - Tripartite trr because of the additional blinking in the ml_ device. It is interesting to say that when the money width mode is used, the maximum consumption when the value of ^=1 is changed unevenly is less than 1.5 dB. ]Vf=3 吐 ^ . When Μ = 2, there is about 25.25dB of 4 hours ^ is 0• Portuguese. PR sends a letter to the odd stomach. Newton example +, even-order μ is taken from the Monte Carlo simulation of the selected material to calculate the BER. False for the attenuation of 2 and 5. In this example, the zero equalizer (ZFE) is forced to perform channel compensation in the frequency domain. Although the ZFE is inferior to T, SE or DFE, the ZFE maintains a simple equalizer and serves as a reference for comparison with other systems. For the landmark ber of 3χ1〇·3, it is necessary to have a SNR of 23 dB of the lowest order PR signal. When normalizing OFDM to M = 1, 2, 3, the cost of the SNR increase is 3 dB, 2.5 dB or 2 dB. Operational SNR for a given BER When applying the provincial bandwidth mode, there is only a marginal change. It appears logically that the FD-PR in the provincial bandwidth mode is used whenever possible in the fading channel. The SNR bandwidth for a BER indicated by 5 is shown in Figure 8. It seems that the trend is like the channel marked by 2, only 1 to 2 dB of loss in SNR. It is necessary to understand that for the m=2 full PR mode and the provincial bandwidth mode almost overlaps, this is the same trend as the AWGN channel. An advantage of another embodiment of FD-PR signaling using a phase modulated fixed message envelope amplifier is that the time domain signal contains a limited set of amplitudes. In this example, the focus in the design in the RFPA moves from a maintained linear relationship to a maintained phase balance. The advantages of this method are included in the receiver 26 1309114 patent application No. 94106190, and the correction is not followed by the "correction page - three copies of the application" on the receiver side, the considerable advantage is that the good performance requires the system 1 ® Memory of the Dow plus PR polynomial. This simplification also reduces the complexity of the system when reducing the number of cases of the following. It is necessary for those skilled in the art to understand that the convenient way of configuring the present invention is = body type Realizing the DSP processing of the QFDM system of the present invention
器中j變軟體⑽改财系統將在_端進行(以執 =壞f積)且在侧端進行(以執行最大可能序列憤 發明的另-g己置為硬體加速度其執行在接收端的 ^結等化及_。其優點為在調變端的循環叠積具有相 當低的DSP複雜度。 本發明中達到的縮寫為: OFDM :正交分頻多工 PR:部份響應The j-software (10) change system will be performed at the _ end (with the implementation of the = bad f product) and at the side end (to perform the maximum possible sequence of anger invented another - g has been set to hardware acceleration and its execution at the receiving end The result is equalization and _. The advantage is that the cyclic accumulation at the modulation end has a relatively low DSP complexity. The abbreviations achieved in the present invention are: OFDM: orthogonal frequency division multiplexing PR: partial response
PAPR ·峰值對平均功率比率 ML :最大可能 FD-PR :頻域部份響應 BER :位元錯誤率 SNR :信號雜訊比 DSP:數位信號處理 BPSK :二位元相移鍵 QSPSK:四元相移鍵 應用簡單的ZFE等化器結構執行頻率選擇BER模 擬以方便說明。而且使用MMSE或MMSE_DFE等化器 27 1309114PAPR · Peak-to-average power ratio ML: Maximum possible FD-PR: Frequency domain partial response BER: Bit error rate SNR: Signal noise ratio DSP: Digital signal processing BPSK: Two-bit phase shift key QSPSK: Quaternary phase The shift key uses a simple ZFE equalizer structure to perform frequency selection BER simulation for ease of illustration. And use MMSE or MMSE_DFE equalizer 27 1309114
g 9410619〇號專利申請案 補充、修正後無劃線之說“^修正頁一式三份 達到SNR的改進。在這些可能性中,MMSE-DFE等化 益提供固定結合最適頻道脈衝響應及部份響應多項式的 方法。FD-PR系統的主要缺點為偵測器具有某些複雜 度。此偵測複雜度中某些部份只要可以再使用連結碼或 調變則有可以實現。 ^雖然文中已應較佳實施說明本發明,但熟本技術者 需了解可對上述加以更改及變更而不偏離本發明的精神 φ 及特徵。因此本發明並不受限於上述說明的實施例熟習 本技術者必需瞭解進行這些實施例的修改及變更均不脫 離本發明的精神及範疇。 【圖式簡單說明】 圖1的方塊圖為正交分頻分工(〇FDM)之時域部 份響應技術的系統方塊圖。 圖2(a)為一 OFDM信號的圖示表示法。圖2(b)為由 ,選擇OFDM多項式改變之部份響應〇FDM信號的圖示 表示法。 圖3為本發明之系統方塊圖,即用於〇FDM之 部份響應發信。 封 圖4顯示-組用於不同㈣之部份響應發信的訊息 頰寬 圖5顯示在頻譜中以dB表示的分部能量,其為 百分比的函數。 圖6顯示超過不同PAPR臨界值的機率。 頰 圖7顯示位元錯誤率’其為本發明系統中全限制 .28 1309114 年月Ei修玉替換頁 〇Π 1 ί. 2 0_____ 第94106190號專利申請案 補充'修正後無劃線之說明書修正頁一式三份 寬之SNR的函數。 圖8顯示用於不同PR順序之SNR的函數。 圖9顯示文中計算式。 【主要元件符號說明】 10 系統 14 發射機 18 接收機 22 對映器 24 循環疊積器 26 平行轉換單元 28 IFFT單元 30 一平行至串列轉換單元 34 一串列至平行轉換單元 36 傅立葉轉換(FFT)單元 38 一串列至平行轉換單元 40 ML偵測器 42 解對映器 150 頻譜壓縮 160 頻域等化器 29g 9410619 〇 专利 专利 专利 专利 专利 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 The method of responding to polynomial. The main disadvantage of the FD-PR system is that the detector has some complexity. Some parts of this detection complexity can be implemented as long as the link code or modulation can be used again. The present invention will be described in detail, but it should be understood by those skilled in the art that the invention may be modified and changed without departing from the spirit and scope of the invention. It is to be understood that modifications and variations of these embodiments are possible without departing from the spirit and scope of the invention. [Simplified Schematic] The block diagram of Figure 1 is a system of time domain partial response techniques for orthogonal frequency division division (〇FDM). Figure 2(a) is a pictorial representation of an OFDM signal. Figure 2(b) is a pictorial representation of a partial response 〇FDM signal selected by an OFDM polynomial change. Figure 3 is a system of the present invention. The block diagram, that is, the partial response for the FDM, is sent. The cover 4 shows the group for the different (4) partial response to the message. The buccal width Figure 5 shows the fractional energy in dB in the spectrum. Figure 6 shows the probability of exceeding the different PAPR thresholds. Cheek Figure 7 shows the bit error rate 'which is the full limit in the system of the invention. 28 1309114 Ei Xiuyu replacement page 〇Π 1 ί. 2 0_____ The patent application No. 94106190 supplements the function of the SNR of the three-part width of the revised page without correction of the line after correction. Figure 8 shows the function of the SNR for different PR orders. Figure 9 shows the calculation formula in the text. Description] 10 System 14 Transmitter 18 Receiver 22 Enactor 24 Round Stacker 26 Parallel Conversion Unit 28 IFFT Unit 30 One Parallel to Tandem Conversion Unit 34 One Column to Parallel Conversion Unit 36 Fourier Transform (FFT) Unit 38 A series of parallel to parallel conversion units 40 ML detector 42 demapper 150 spectral compression 160 frequency domain equalizer 29
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