CN120639206A - A feedback-based digital QEC correction method for digital arrays - Google Patents
A feedback-based digital QEC correction method for digital arraysInfo
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Abstract
本发明涉及数字阵列的qec校正技术领域，更具体地，涉及一种针对数字阵列的基于反馈的数字qec校正的方法，所述方法包括以下步骤：S1：构建收发通道失真模型，计算失真模型参数；S2：根据失真模型参数构建发射端预失真模型，进行发射端qec校正；S3：根据失真模型参数构建接收端后失真模型，进行接收端qec校正。本方案从数字上解决数字阵列天线收发端镜像及直流校正的问题，能够不依赖于硬件设计，且不需要外部参考源的支持，使用基于反馈的数字方法镜像qec校正，该方法同样实现了镜像和本振的误差校正，且精度高，可移植性好。
The present invention relates to the technical field of QEC correction for digital arrays, and more specifically, to a feedback-based digital QEC correction method for digital arrays. The method comprises the following steps: S1: constructing a distortion model for the transmit and receive channels and calculating distortion model parameters; S2: constructing a pre-distortion model for the transmitter based on the distortion model parameters and performing QEC correction for the transmitter; and S3: constructing a post-distortion model for the receiver based on the distortion model parameters and performing QEC correction for the receiver. This solution digitally solves the problems of image and DC correction at the transmit and receive ends of digital array antennas. It is independent of hardware design and does not require support from an external reference source. Using a feedback-based digital method, image QEC correction is achieved. This method also achieves error correction for both image and local oscillators with high accuracy and excellent portability.
Description
Technical Field
The invention relates to the technical field of qec correction of a digital array, in particular to a method for correcting a digital qec based on feedback of the digital array.
Background
The digital array antenna is commonly used in the satellite communication field, and is used as an antenna of a satellite to communicate with a ground station or a mobile phone, and is an important component of a satellite payload, so that the whole satellite communication system is influenced. Digital multi-beam forming is one of the key technologies of satellite communication systems, and high radio frequency channel quality is required for accurate beam forming. But various errors due to hardware non-idealities, environmental time-variability and structural complexity of the individual radio frequency channels of the array become sources of degradation of the quality of the individual channels. The IQ imbalance caused by the IQ imbalance can cause mirror image errors and local oscillation leakage of a transmitting or receiving channel, which are one of the key problems to be solved.
The conventional method relies on the design of the hardware circuit itself to solve the problem of IQ imbalance from the aspect of hardware design. The method has high requirements on hardware circuits, the corresponding cost can be increased, and the updating iteration of the product is poor. Another approach is active correction, relying on known reference sources (such as calibration signals or spectrometers), but requiring additional hardware support and being unable to update in real time, is only suitable for static error environments, and is obviously unsuitable for satellite in-orbit environments.
The scheme for correcting the multichannel qec of the digital array antenna can be independent of hardware design, does not need support of an external reference source, and corrects the mirror image qec by using a digital method based on feedback.
Disclosure of Invention
The present invention is directed to overcoming at least one of the above-mentioned drawbacks (shortcomings) of the prior art, and providing a method for digital array feedback-based digital qec correction, which is used to digitally solve the problems of digital array antenna receiving and transmitting end mirroring and direct current correction.
The technical scheme adopted by the invention is a method for correcting a digital qec based on feedback aiming at a digital array, which comprises the following steps:
s1, constructing a receiving and transmitting channel distortion model, and calculating distortion model parameters;
s2, constructing a transmitting end predistortion model according to the distortion model parameters, and correcting the transmitting end qec;
and S3, constructing a post-receiving-end distortion model according to the distortion model parameters, and correcting the receiving end qec.
According to the digital QEC correction method based on feedback, by constructing a receiving-transmitting channel distortion model and calculating distortion model parameters, error sources in a system are accurately described, and a theoretical basis is provided for subsequent correction. The method comprises the steps of firstly carrying out QEC correction by constructing a predistortion model at a transmitting end, eliminating mirror image errors and local oscillator leakage caused by IQ imbalance, ensuring signal quality, and then carrying out correction by constructing a distortion model at a receiving end, recovering the authenticity of a received signal and reducing error influence. The method does not depend on hardware design, external reference sources, adopts a feedback mechanism to realize real-time correction, and adapts to dynamic environment changes. Through high-precision digital correction, the system performance is improved, the system has better portability, is suitable for different platforms and environments, has lower system complexity and cost, and is widely applicable to the fields of satellite communication systems and the like.
Preferably, in step S1, the constructing the receiving-transmitting channel distortion model includes transmitting the time domain signal at the transmitting end or the receiving endInput into distortion model to obtainWherein, the function formula of the distortion model is:
Wherein, the Is a channel transfer function; Is a mirror transfer function; For channel delay when In the form of a mirror-image delay,Is direct current; Representing a time domain signal sequence of a transmitting end; is an argument of the time domain sequence x.
According to the application, accurate error modeling is provided by capturing distortion caused by factors such as channel attenuation, mirror image effect, DC offset and the like in the transmission process of the signal, theoretical basis is provided for subsequent QEC correction, high-precision distortion modeling is realized, signal changes in different environments can be adapted in real time, and correction stability and reliability are enhanced. Meanwhile, through mathematical modeling, dependence on external hardware is reduced, complexity and cost of a system are reduced, and adaptability and expandability are improved.
Preferably, in step S1, the calculating distortion model parameters includes:
S11, calculating direct current by means of averaging Wherein;
S12, will bePerforming cyclic shiftThen, a plurality of shift versions are takenPerforming correlation calculation to find the maximum correlation delay as channel delayWherein, the related calculation formula is:;
S13, will be Delay timeObtaining time domain signal after time delayThen the LS algorithm is used to calculate the channel transfer function,Including amplitude and phase information of the channel;
S14, after the channel delay and the channel transfer function are calculated, according to the mutual uncorrelated characteristic of the image signal, subtracting the signal to obtain the image through the distortion model after calculating the system function of the image , wherein,;
S15, circularly shifting the mirror image itemObtaining a plurality of delay versions and obtaining mirror image delay by performing correlation calculation on the mirror images of the distortion modelThen LS algorithm is used to obtain mirror image transfer function。
By calculating the direct current component, the channel delay, the channel transfer function, the image signal and the image transfer function step by step, the accurate modeling of signal distortion is effectively realized. Each step of calculation improves the precision of signal processing, so that various distortion factors in the signal transmission process are comprehensively and accurately corrected, and high-precision support is provided for subsequent error correction and signal recovery.
Preferably, in the step S13, the LS algorithm formula is:; The calculation formula of (2) is as follows: 。
In this step, the amplitude and phase information of the channel can be accurately estimated by calculating the channel transfer function using a least squares algorithm. The algorithm effectively extracts channel characteristics by minimizing the square sum of signal errors, has strong noise immunity, and can obtain more accurate transmission function estimation even if the signals are interfered by noise. The matrix operation form of the LS algorithm has higher calculation efficiency, is suitable for real-time signal processing, and avoids complex nonlinear optimization calculation, thereby improving the processing speed and the simplicity. By accurately calculating the channel transfer function, the distorted signal can be effectively recovered, and the performance and stability of the whole system are improved.
Preferably, in the step S2, it includes:
S21, obtaining the original signal of the transmitting time domain through a predistortion model ;
S22, obtainingObtained through a distortion modelWherein
;
S23, according toAndSolving the mirror image coefficient of the predistortion modelAnd predistortion model direct current correction term;
S24, according to the solvingAndAnd transmitting the input signal to be predistortion, and then processing the input signal by a distortion model of a transmitting channel to obtain a signal output with mirror images and local oscillators removed.
By gradually realizing the predistortion and distortion correction of the signal, the image and local oscillation interference can be effectively removed after the signal is processed by a distortion model, and clearer and more real signal output can be obtained. And the optimization and correction of each step enable the predistortion processing to be more accurately adapted to different signal characteristics, thereby improving the signal transmission quality and stability of the whole system.
Preferably, in step S21, the predistortion model formula is:
Wherein, the Representing a mirror correction; is a convolution symbol; representing a mirrored item.
The predistortion model eliminates image interference through convolution operation and combines a direct current correction term to carry out fine adjustment, thereby effectively optimizing the quality of signals, reducing errors and improving the accuracy and the robustness of signal processing.
Preferably, the step S23 includes bringing the predistortion model formula intoIn the formula, the mirror image terms are then proposed and solvedThen extracting the DC term and performing conjugation to solve the DC term。
By accurately extracting and solving the mirror image term and the direct current term, the interference component in the signal can be effectively eliminated, and parameters are optimizedAndThe quality and the processing precision of the signals are improved. The process ensures the accuracy of subsequent signal processing and enhances the robustness and reliability of the system.
Preferably, the step S3 includes:
S31, obtaining the original signal of the transmitting time domain through a distortion model , wherein,;
S32, obtainingObtaining through post-distortion model, wherein,;
S33 according toAndSolving to obtain mirror image coefficient of post-distortion modelThen according toSolving a post-distortion model direct current correction term;
S34, using the solutionAndAccording toAnd the formula is that the received signal is received and then subjected to distortion treatment to obtain the signal with the mirror image and the local oscillator removed.
Through accurate distortion modeling, post-distortion processing and correction, mirror images and local oscillation interference in the time domain signals are eliminated, and the quality and the accuracy of the signals are optimized. This not only improves the accuracy of signal recovery, but also ensures that the signal processing system can operate stably under complex interference conditions.
Preferably, in step S33, it is included thatCarry-inThen the mirror image item is extracted and is set to be 0, so that the solution is obtainedThen according toSolving for。
By accurately removing the image term and solving the image correction coefficient and the direct current correction term in the step, the quality of the signal is obviously improved, interference components are eliminated, and the signal recovery process is more accurate and reliable.
Preferably, the function formula for extracting the mirror term and making it 0 is:
Thereby obtaining according to the above ;
Then solve according to the DC term,WhereinRepresenting a direct current term mirror.
By accurately extracting the mirror image term and enabling the mirror image term to be 0, the mirror image correction coefficient and the direct current term are further solved, and the whole signal recovery process is greatly optimized. The method effectively removes interference components in the signal, ensures that the signal can be accurately recovered in the frequency spectrum and the direct current part, and finally improves the robustness, the stability and the accuracy of the signal processing system.
Compared with the prior art, the invention has the beneficial effects that:
the invention provides a qec correction scheme of a digital array antenna based on digital feedback, which solves the problems of mirror image and direct current correction of a receiving end and a transmitting end of the digital array antenna in a digital way. The scheme does not depend on hardware design, does not need support of an external reference source, has good portability and high precision, can effectively eliminate interference and distortion in signals, improves the quality and recovery precision of the signals, and ensures high-efficiency stable operation of the system in a changeable environment.
Drawings
FIG. 1 is a flow chart of a method provided by the invention.
Fig. 2 is a schematic diagram of a distortion model provided in the present invention.
Fig. 3 is a schematic diagram of channel parameter calculation according to the present invention.
Fig. 4 is a schematic diagram of a transmitting-end predistortion model provided by the invention.
Fig. 5 is a schematic diagram of a post-receiving-end distortion model according to the present invention.
Fig. 6 is a schematic diagram of simulation results provided by the present invention.
Fig. 7 is a schematic diagram of a system structure provided by the present invention.
Detailed Description
The drawings are for illustrative purposes only and are not to be construed as limiting the invention. For better illustration of the following embodiments, some parts of the drawings may be omitted, enlarged or reduced, and not represent the actual product size, and it will be understood by those skilled in the art that some well-known structures in the drawings and their descriptions may be omitted.
Example 1
As shown in fig. 1, the present embodiment provides a method of feedback-based digital qec correction for a digital array, the method comprising the steps of:
s1, constructing a receiving and transmitting channel distortion model, and calculating distortion model parameters;
preferably, in step S1, as shown in FIG. 2, the constructing the receiving-transmitting channel distortion model includes transmitting the time domain signal at the transmitting end or the receiving end Input into distortion model to obtainWherein, the function formula of the distortion model is:
Wherein, the Is a channel transfer function; Is a mirror transfer function; For channel delay when In the form of a mirror-image delay,Is direct current; Representing a time domain signal sequence of a transmitting end; is an argument of the time domain sequence x.
Further preferably, as shown in fig. 3, in step S1, the calculating distortion model parameters includes:
step S11, calculating the direct current by means of averaging Wherein;
Step S12, connectingPerforming cyclic shiftThen, a plurality of shift versions are takenPerforming correlation calculation to find the maximum correlation delay as channel delayWherein, the related calculation formula is:;
Step S13, will be Delay timeObtaining time domain signal after time delayThen the LS algorithm is used to calculate the channel transfer function,Including amplitude and phase information of the channel;
Further preferably, in the step S13, the LS algorithm formula is: ; The calculation formula of (2) is as follows: , wherein, Including the amplitude and phase information of the channel,Representing the conjugate transpose.
Step S14, after the channel delay and the channel transfer function are calculated, according to the mutual uncorrelated characteristics of the image signals, subtracting the signal to obtain the image after the distortion model, wherein,;
Step S15 of performing cyclic shift on the mirror itemObtaining a plurality of delay versions and obtaining mirror image delay by performing correlation calculation on the mirror images of the distortion modelThen LS algorithm is used to obtain mirror image transfer function。
By calculating the direct current component, the channel delay, the channel transfer function, the image signal and the image transfer function step by step, the accurate modeling of signal distortion is effectively realized. Each step of calculation improves the precision of signal processing, so that various distortion factors in the signal transmission process are comprehensively and accurately corrected, and high-precision support is provided for subsequent error correction and signal recovery.
Step S2, constructing a transmitting end predistortion model according to the parameters of the distortion model, correcting the transmitting end qec, as shown in figure 4,In order to transmit the time-domain original signal,Pre-distorting signals for a transmitting end, wherein the pre-distortion model is qec compensation model;
Preferably, in the step S2, it includes:
step S21, obtaining the original signal of the transmitting time domain through a predistortion model ;
Preferably, in step S21, the predistortion model formula is:
Wherein, the Representing a mirror correction; is a convolution symbol; representing a mirrored item.
Step S22, obtainingObtained through a distortion modelWherein
;
Step S23 according toAndSolving the mirror image coefficient of the predistortion modelAnd predistortion model direct current correction term;
Further preferably, the step S23 includes bringing the predistortion model formula intoIn the formula, the mirror image terms are then proposed and solvedThen extracting the DC term and performing conjugation to solve the DC term。
Specifically comprising:
bringing the predistortion model formula to The formula can be obtained:
then the mirror image items are proposed and solved :
Then extracting a direct current term to obtain the following formula:
conjugation of the above formula yields:
Then, the formula obtained by extracting the DC term and the formula obtained by taking the conjugate are written into a matrix form to obtain the DC correction term ,
Step S24, according to the solutionAndAnd transmitting the input signal to be predistortion, and then processing the input signal by a distortion model of a transmitting channel to obtain a signal output with mirror images and local oscillators removed.
Therefore, through realizing the predistortion and distortion correction of the signal step by step, the image and local oscillation interference can be effectively removed after the signal is processed by a distortion model, and clearer and more real signal output can be obtained. And the optimization and correction of each step enable the predistortion processing to be more accurately adapted to different signal characteristics, thereby improving the signal transmission quality and stability of the whole system.
Step S3, as shown in FIG. 5, a post-receiving-end distortion model is constructed according to the distortion model parameters, receiving end qec correction is performed, x (n) is the original signal of the transmitting time domain,In order to receive the end signal,The method is characterized by receiving a post-distortion signal at a receiving end, wherein the post-distortion model is qec compensation model.
Preferably, the step S3 includes:
step S31, obtaining the original signal of the transmitting time domain through a distortion model , wherein,
;
Step S32, obtainingObtaining through post-distortion model, wherein,
;
Step S33, according toAndSolving to obtain mirror image coefficient of post-distortion modelThen according toSolving a post-distortion model direct current correction term;
Further preferably, in step S33, it is included thatCarry-inThen the mirror image item is extracted and is set to be 0, so that the solution is obtainedThen according toSolving for。
Specifically, it willCarry-inCan be obtained by:
the mirror term is then extracted and taken to be 0:
Thereby obtaining according to the above ;
Then solve according to the direct current term,WhereinRepresenting a direct current term mirror.
Step S34, using the solutionAndAccording toAnd the formula is that the received signal is received and then subjected to distortion treatment to obtain the signal with the mirror image and the local oscillator removed.
Therefore, the mirror image term is accurately extracted and is made to be 0, the mirror image correction coefficient and the direct current term are further solved, and the whole signal recovery process is greatly optimized. The method effectively removes interference components in the signal, ensures that the signal can be accurately recovered in the frequency spectrum and the direct current part, and finally improves the robustness, the stability and the accuracy of the signal processing system.
Specifically, it is first necessary in the present embodiment to use a pair of standard transceiving add after external calibration;
For the transmission calibration scheme, each path of transmission end to be calibrated transmits a test signal (the signal can be loaded by ZC sequences with good autocorrelation), a standard receiving end radio frequency line is used for receiving digital signals, parameters of each transmission channel are obtained according to the calculation scheme, and the parameters are brought into a transmission predistortion model to construct transmission qec and direct current calibration. Continuing to send out an in-band tone signal can verify whether qec and direct current correction are effective or not under the pre-distortion model loading at the moment;
For the reception correction scheme, a standard transmitting end is used to transmit a test signal (ZC signal can be used as well), a receiving channel to be calibrated is sequentially opened to receive the sampled digital signal by the radio frequency line, the parameters of each receiving channel are obtained according to the calculation scheme, and the parameters are brought into the distortion model after receiving to construct the receiving qec and direct current calibration. After the received distortion model is constructed, it can be observed whether or not at this time qec and the dc calibration are effective.
The result obtained by simulation by using simulation software according to the method of this embodiment is shown in fig. 6, the transmitted signal uses a multi-carrier signal, where the signal appears in each count interval, so that it can intuitively decompose the signal and the image classification, set a distorted channel, and add models such as delay, image, direct current, etc., to obtain the spectrum of the received signal y. From the upper left-hand graph of the transmitted signal spectrum x and the upper right-hand graph of the received signal spectrum y of fig. 6, the image rejection becomes 17dB, while the direct-current rejection is 27dB. The simulation is carried out by using the scheme to obtain predistortion and post-distortion results, such as the lower left and lower right results of fig. 6, and the results show that both schemes can obviously improve the mirror image and direct current suppression of the channel, and the suppression ratio is more than 50 dB.
Therefore, the digital QEC correction method based on feedback provided in the embodiment accurately describes error sources in the system by constructing a receiving-transmitting channel distortion model and calculating distortion model parameters, and provides a theoretical basis for subsequent correction. The method comprises the steps of firstly carrying out QEC correction by constructing a predistortion model at a transmitting end, eliminating mirror image errors and local oscillator leakage caused by IQ imbalance, ensuring signal quality, and then carrying out correction by constructing a distortion model at a receiving end, recovering the authenticity of a received signal and reducing error influence. The method does not depend on hardware design, external reference sources, adopts a feedback mechanism to realize real-time correction, and adapts to dynamic environment changes. Through high-precision digital correction, the system performance is improved, the system has better portability, is suitable for different platforms and environments, has lower system complexity and cost, and is widely applicable to the fields of satellite communication systems and the like.
Example 2
As shown in fig. 7, according to the method of embodiment 1, the present embodiment provides a system for feedback-based digital qec correction for a digital array, the system comprising:
the parameter calculation module is used for constructing a receiving and transmitting channel distortion model and calculating distortion model parameters;
The transmitting end qec correction module is used for constructing a transmitting end predistortion model according to the distortion model parameters and correcting the transmitting end qec;
And the receiving end qec correction module is used for constructing a post-receiving end distortion model according to the distortion model parameters and correcting the receiving end qec.
Therefore, in the system, error sources in the system are accurately described by constructing a receiving and transmitting channel distortion model and calculating distortion model parameters, and a theoretical basis is provided for subsequent correction. The QEC correction is carried out at the transmitting end through the transmitting end QEC correction module by constructing a predistortion model, the mirror image error and local oscillation leakage caused by IQ imbalance are eliminated, the signal quality is ensured, and then the correction is carried out at the receiving end through the receiving end QEC correction module by constructing a post-distortion model, the authenticity of the received signal is recovered, and the error influence is reduced. The system of the embodiment does not depend on hardware design, external reference sources, and adopts a feedback mechanism to realize real-time correction, thereby being suitable for dynamic environment changes. Through high-precision digital correction, the system performance is improved, the system has better portability, is suitable for different platforms and environments, has lower system complexity and cost, and is widely applicable to the fields of satellite communication systems and the like.
Preferably, the parameter calculation module includes:
a distortion function calculation unit for calculating the time domain signal at the transmitting end or the receiving end Input into a distortion model to calculateWherein the function formula of the distortion model is as follows:
Wherein, the Is a channel transfer function; Is a mirror transfer function; For channel delay when In the form of a mirror-image delay,Is direct current; Representing a time domain signal sequence of a transmitting end; is an argument of the time domain sequence x.
In the unit, accurate error modeling is provided by capturing distortion caused by factors such as channel attenuation, mirror image effect, DC offset and the like in the transmission process of signals, theoretical basis is provided for subsequent QEC correction, high-precision distortion modeling is realized, signal changes in different environments can be adapted in real time, and correction stability and reliability are enhanced. Meanwhile, through mathematical modeling, dependence on external hardware is reduced, complexity and cost of a system are reduced, and adaptability and expandability are improved.
Further preferably, the parameter calculation module further includes:
a distortion model parameter calculation unit for calculating relevant parameters of the distortion model;
The method specifically comprises the following steps:
Calculating the direct current by means of averaging Wherein;
Will bePerforming cyclic shiftThen, a plurality of shift versions are takenPerforming correlation calculation to find the maximum correlation delay as channel delayWherein, the related calculation formula is:;
Will be Delay timeObtaining time domain signal after time delayThen the LS algorithm is used to calculate the channel transfer function,The method comprises the steps of including amplitude and phase information of a channel, wherein the LS algorithm formula is as follows:; The calculation formula of (2) is as follows: 。
By calculating the channel transfer function using a least squares algorithm, the amplitude and phase information of the channel can be accurately estimated. The algorithm effectively extracts channel characteristics by minimizing the square sum of signal errors, has strong noise immunity, and can obtain more accurate transmission function estimation even if the signals are interfered by noise. The matrix operation form of the LS algorithm has higher calculation efficiency, is suitable for real-time signal processing, and avoids complex nonlinear optimization calculation, thereby improving the processing speed and the simplicity. By accurately calculating the channel transfer function, the distorted signal can be effectively recovered, and the performance and stability of the whole system are improved.
After the channel delay and the channel transfer function are calculated, according to the mutual uncorrelated characteristic of the image signal, subtracting the system function of the signal after calculating the image to obtain the image passing through the distortion model, wherein,;
Circularly shifting mirrored itemsObtaining a plurality of delay versions and obtaining mirror image delay by performing correlation calculation on the mirror images of the distortion modelThen LS algorithm is used to obtain mirror image transfer function。
Therefore, the direct current component, the channel delay, the channel transfer function, the image signal and the image transfer function are calculated step by step in the unit, and accurate modeling of signal distortion is effectively realized. Each step of calculation improves the precision of signal processing, so that various distortion factors in the signal transmission process are comprehensively and accurately corrected, and high-precision support is provided for subsequent error correction and signal recovery.
Preferably, the transmitting end qec correction module includes:
the predistortion model parameter processing unit is used for generating predistortion model mirror image coefficients and predistortion model direct current correction terms;
the method comprises obtaining the original signal of the transmitting time domain by predistortion model The predistortion model formula is:
Wherein, the Representing a mirror correction; is a convolution symbol; representing a mirrored item;
To be obtained Obtained through a distortion modelWherein;
According toAndSolving the mirror image coefficient of the predistortion modelAnd predistortion model direct current correction termThe predistortion model formula is carried intoIn the formula, the mirror image terms are then proposed and solvedThen extracting the DC term and performing conjugation to solve the DC term。
And the transmitting end correction unit is used for transmitting the input signal to be predistortion processed according to the predistortion model image coefficient and the predistortion model direct current correction term, and then obtaining the signal output for removing the image and the local oscillator through the distortion model processing of the transmitting channel.
Therefore, through realizing the predistortion and distortion correction of the signal step by step, the image and local oscillation interference can be effectively removed after the signal is processed by a distortion model, and clearer and more real signal output can be obtained. And the optimization and correction of each step enable the predistortion processing to be more accurately adapted to different signal characteristics, thereby improving the signal transmission quality and stability of the whole system.
Preferably, the receiving end qec includes:
the post-distortion model parameter calculation unit is used for calculating a post-distortion model mirror coefficient and a post-distortion model direct current correction term;
The method specifically comprises the following steps:
the original signal of the transmitting time domain is obtained by a distortion model , wherein,
;
To be obtainedObtaining through post-distortion model, wherein,
;
According toAndSolving to obtain mirror image coefficient of post-distortion modelThen according toSolving a post-distortion model direct current correction termSpecifically, by combiningCarry-inThen the mirror image item is extracted and is set to be 0, so that the solution is obtainedThen according toSolving for. Wherein, the function formula for extracting the mirror image term and making the mirror image term be 0 is as follows:
Thereby obtaining according to the above ;
Then solve according to the DC term,WhereinRepresenting a direct current term mirror.
Therefore, the mirror image term is accurately extracted and is made to be 0, the mirror image correction coefficient and the direct current term are further solved, and the whole signal recovery process is greatly optimized. The method effectively removes interference components in the signal, ensures that the signal can be accurately recovered in the frequency spectrum and the direct current part, and finally improves the robustness, the stability and the accuracy of the signal processing system.
A receiving end correction unit for solving the obtained by using the post-distortion model parameter calculation unitAndAnd according toAnd the formula is that the received signal is received and then subjected to distortion treatment to obtain the signal with the mirror image and the local oscillator removed.
Therefore, through accurate distortion modeling, post-distortion processing and correction, mirror images and local oscillation interference in the time domain signals are eliminated, and the quality and the accuracy of the signals are optimized. This not only improves the accuracy of signal recovery, but also ensures that the signal processing system can operate stably under complex interference conditions.
The system for correcting the feedback-based number qec for the digital array provided in this embodiment is configured to perform the method for correcting the feedback-based number qec for the digital array provided in this embodiment, and its implementation manner is consistent with the implementation manner of the method for correcting the feedback-based number qec for the digital array provided in this embodiment, and the same beneficial effects may be achieved, which will not be described herein.
The system for feedback-based digital qec correction for digital arrays is used in the method for feedback-based digital qec correction for digital arrays of the foregoing embodiments. Thus, the description and definition in the methods of feedback-based digital qec correction for digital arrays in the foregoing embodiments may be used for understanding the various execution modules in the present solution embodiments.
It should be understood that the foregoing examples of the present invention are merely illustrative of the present invention and are not intended to limit the present invention to the specific embodiments thereof. Any modification, equivalent replacement, improvement, etc. that comes within the spirit and principle of the claims of the present invention should be included in the protection scope of the claims of the present invention.
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