CN104993832B - A kind of 3 correlation waveform smoothing methods based on high-speed sample data - Google Patents
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Abstract
本发明提出了一种基于高速采样数据的三点相关性波形平滑方法,从连续采样的3个采样点之间的相关性考虑出发,利用连续采样数据之间变化趋势可预测性的理论原理,进行高速采样数据误差判别和误差修正处理,使得采样错误回落到正常理想的趋势范围内,从而改善采集效果,提高信号处理的质量。本发明方法从软件分析进行处理,降低了高速采样系统对硬件环境的要求,在硬件调试、人员开销、资源消耗等方面得以大大节省。由于关注重点为采样后的数据处理,并不关心干扰源的途径,也降低了对硬件环境的依赖性,使得本方法适用性加强,适用范围变广,通用性加强。同时,通过软件参数进行调试的方式,也使得数字信号处理手段方便、灵活,省时省力。
The present invention proposes a three-point correlation waveform smoothing method based on high-speed sampling data, starting from the consideration of the correlation between the three sampling points of continuous sampling, using the theoretical principle of the predictability of the change trend between continuous sampling data, Perform high-speed sampling data error discrimination and error correction processing, so that the sampling error falls back to the normal and ideal trend range, thereby improving the acquisition effect and the quality of signal processing. The method of the invention performs processing from software analysis, reduces the requirement of the high-speed sampling system on the hardware environment, and greatly saves hardware debugging, personnel expenses, resource consumption and the like. Since the focus is on the data processing after sampling, the path of the interference source is not concerned, and the dependence on the hardware environment is also reduced, which makes the applicability of the method stronger, the scope of application wider, and the universality stronger. At the same time, the method of debugging through software parameters also makes the means of digital signal processing convenient and flexible, saving time and effort.
Description
技术领域technical field
本发明涉及数字信号处理领域,特别涉及一种基于高速采样数据连续3个采样点数据相关性进行处理的使采样波形平滑的方法。The invention relates to the field of digital signal processing, in particular to a method for smoothing sampling waveforms based on data correlation of three consecutive sampling points of high-speed sampling data.
背景技术Background technique
在理想工作条件下,周期性的正弦波模拟信号通过采样后也应是理想的正弦波波形,但在实际工作环境中,受电源、其他板载信号、空间电磁辐射等因素干扰,尤其在高速采样情况下,采集到的信号波形往往不是完全和理论的正弦波一模一样,有时差别很大,使得模拟信号经采样处理后信号质量下降,信号分析效果下降。Under ideal working conditions, the periodic sine wave analog signal should also be an ideal sine wave waveform after sampling, but in the actual working environment, it is interfered by factors such as power supply, other board signals, space electromagnetic radiation, etc. In the case of sampling, the collected signal waveform is often not exactly the same as the theoretical sine wave, and sometimes the difference is very large, which makes the signal quality of the analog signal degrade after sampling processing, and the signal analysis effect is degraded.
经过对电路板硬件的调试改善,以及对FPGA信号处理程序的优化等措施,会使采样数字信号的波形毛刺、纹波、噪声等有所好转,但仍然不能完全消除。在硬件环境和FPGA环境调试到一定程度无法解决时,有时可考虑在上位机CPU中加入一定的波形优化算法来完善采集信号误差缺陷,弥补信号采集中过大的采样错误,提高采集质量,改善信号分析效果。After debugging and improving the circuit board hardware and optimizing the FPGA signal processing program, the waveform burrs, ripples, and noise of the sampled digital signal will be improved, but they still cannot be completely eliminated. When the hardware environment and FPGA environment are debugged to a certain extent and cannot be solved, sometimes it can be considered to add a certain waveform optimization algorithm to the upper computer CPU to improve the acquisition signal error defect, make up for the excessive sampling error in signal acquisition, improve the acquisition quality, improve Signal analysis effect.
图1示出了理想采样和实际采样的区别,如图1所示,实际采样点由于噪声、干扰等情况的存在,其在理想采样曲线一定的范围内摆动,摆动的幅度及偏差视具体噪声干扰情况的不同而不同。当噪声干扰比较小时,采样点基本与理想情况一致,当噪声干扰比较大时,采样点将偏离理想点一定的范围,由于实际工作情况下,噪声及干扰情况并不能完全消除,所以实际采样时,实际采样点与理想采样点偏离一定范围的情况也是正常、合理的。Figure 1 shows the difference between ideal sampling and actual sampling. As shown in Figure 1, due to the existence of noise, interference, etc., the actual sampling point swings within a certain range of the ideal sampling curve, and the amplitude and deviation of the swing depend on the specific noise. Interference situations vary. When the noise interference is relatively small, the sampling point is basically consistent with the ideal situation. When the noise interference is relatively large, the sampling point will deviate from the ideal point within a certain range. Since the noise and interference cannot be completely eliminated in actual working conditions, the actual sampling time , it is normal and reasonable that the actual sampling point deviates from the ideal sampling point within a certain range.
当个别实际采样点偏离理想情况比较大时,超过正常噪声影响的偏离范围,形成不正常的波形毛刺或畸变时,可认定为此采样点采样有误或处理有误,其在后续的数字信号处理中将形成一定的不良影响,所以可适当的对其进行一些前处理过程,使得畸变点或毛刺点回落到正常的噪声范围影响内,从而改善信号处理的效果。When individual actual sampling points deviate greatly from the ideal situation, exceed the deviation range affected by normal noise, and form abnormal waveform burrs or distortions, it can be determined that the sampling point is incorrectly sampled or processed incorrectly, and its subsequent digital signal Certain adverse effects will be formed during the processing, so some pre-processing can be properly carried out to make the distortion point or burr point fall back to the influence of the normal noise range, thereby improving the effect of signal processing.
通常,在采样不理想的情况下,首先会进行硬件环境的测试分析,努力找到影响信号采样的干扰途径和干扰源,并实施一些措施来降低干扰的影响,但是,通过硬件调试手段很难做到完全消除干扰。而硬件环境在达到一定的调试程度后,将无法进行进一步的提升。同时,硬件环境的改善在一定程度上需增加人力、时间、硬件资源等开销,且很多情况下,因环境的不同,一次的调试结果不具备多个环境下的通用性需求。Usually, in the case of unsatisfactory sampling, the test and analysis of the hardware environment will be carried out first, and efforts will be made to find the interference paths and sources that affect signal sampling, and some measures will be implemented to reduce the impact of interference. However, it is difficult to do it through hardware debugging. to completely eliminate interference. After the hardware environment reaches a certain level of debugging, it will not be able to further improve. At the same time, the improvement of the hardware environment needs to increase the cost of manpower, time, and hardware resources to a certain extent, and in many cases, due to the different environments, the debugging results at one time do not meet the general requirements in multiple environments.
发明内容Contents of the invention
为解决上述现有技术中的不足,本发明提出了一种基于高速采样数据的三点相关性波形平滑方法,从连续采样的3个采样点之间的相关性考虑出发,利用连续采样数据之间变化趋势可预测性的理论原理,进行高速采样数据误差判别和误差修正处理,使得采样错误回落到正常理想的趋势范围内,从而改善采集效果,提高信号处理的质量,提升采集系统工作性能。In order to solve the deficiencies in the above-mentioned prior art, the present invention proposes a three-point correlation waveform smoothing method based on high-speed sampling data. Considering the correlation between the three sampling points of continuous sampling, using the continuous sampling data Based on the theoretical principle of the predictability of the inter-time change trend, high-speed sampling data error discrimination and error correction processing are carried out, so that the sampling error falls back to the normal and ideal trend range, thereby improving the acquisition effect, improving the quality of signal processing, and improving the working performance of the acquisition system.
本发明的技术方案是这样实现的:Technical scheme of the present invention is realized like this:
一种基于高速采样数据的三点相关性波形平滑方法,包括以下步骤:A three-point correlation waveform smoothing method based on high-speed sampling data, comprising the following steps:
步骤(1):对于连续采样的N点高速采样数据值,首先通过比较法确定其最大值MAX和最小值MIX,以及其在采样序列中的位置t1、t2;Step (1): For the N-point high-speed sampling data values of continuous sampling, first determine its maximum value MAX and minimum value MIX by comparison method, as well as its positions t1 and t2 in the sampling sequence;
步骤(2):得到极值点后,从极值点t1处开始,统计MAX点到相邻理论中间点MID之间单向单调下降的采样点数,并且从t2处开始统计MIX点到相邻理论中间点MID之间单向单调上升的采样点数;四次统计值的最大值计为X;Step (2): After obtaining the extreme point, start from the extreme point t1, count the number of sampling points that decrease monotonically in one direction between the MAX point and the adjacent theoretical middle point MID, and count the number of sampling points from the MIX point to the adjacent theoretical middle point from t2 The number of sampling points that rise monotonously in one direction between the theoretical intermediate points MID; the maximum value of the four statistical values is counted as X;
步骤(3):判断X的数值,当X大于等于5则进入步骤(4);否则返回步骤(1),进行下一轮数据的判别处理;Step (3): Judging the value of X, when X is greater than or equal to 5, enter step (4); otherwise return to step (1), and proceed to the next round of data discrimination processing;
步骤(4):设三点相关性判别的起始点Y从第2点开始,赋值Y等于2;Step (4): Set the starting point Y of the three-point correlation judgment to start from the second point, and assign Y to be equal to 2;
步骤(5):判断Y是否小于N,是则取Y位置处,以及与其相邻的前后位置的共三个连续采样值VY-1、VY、VY+1,进入步骤(6);否则整个处理流程结束,返回步骤(1),进行下一轮数据的判别处理;Step (5): Determine whether Y is smaller than N, and if so, take a total of three consecutive sampling values V Y-1 , V Y , and V Y+1 at the Y position and its adjacent front and rear positions, and enter step (6) ; Otherwise, the whole processing flow ends, and returns to step (1) for the next round of data discrimination processing;
步骤(6):对连续采样的三个数据进行判别处理,如果属于趋势内情况,则进入步骤(7),进行偏离理想范围判别处理;否则视为趋势外情况,进入步骤(9),进行错误判别;Step (6): Discriminate and process the three consecutively sampled data. If it belongs to the situation within the trend, proceed to step (7) to discriminate the deviation from the ideal range; Misjudgment;
步骤(7):在偏离理想范围判别处理情况下,定义上述步骤(5)中连续采样的三个点为p1、p2、p3,三个点的数据依次为Vp1、Vp2、Vp3,以及p1和p3的中点pp2,pp2点的数据为Vpp2,进行对p2是否偏离理想范围的判别处理,若p2处于设定的理想范围内,则Y加1,返回步骤(5),进行下一点的判别处理;否则进入步骤(8);Step (7): In the case of deviating from the ideal range, define the three points of continuous sampling in the above step (5) as p1, p2, and p3, and the data of the three points are Vp1, Vp2, Vp3, and p1 and The midpoint pp2 of p3, the data of pp2 point is Vpp2, and the judgment process of whether p2 deviates from the ideal range is carried out. If p2 is within the set ideal range, then Y is added by 1, and the next point is judged by returning to step (5). Processing; Otherwise, enter step (8);
步骤(8):将p2数据Vp2替换为pp2数据Vpp2,Y加1,返回步骤(5),进行下一点的判别处理;Step (8): replace p2 data Vp2 with pp2 data Vpp2, Y adds 1, returns to step (5), and carries out the discrimination processing of next point;
步骤(9):在错误判别处理情况下,定义上述步骤(5)中连续采样的三个点为p4、p5、p6,三个点的数据依次为Vp4、Vp5、Vp6,以及p4和p6的中点pp5,pp5点的数据为Vpp5,进行对p5是否是上升或下降中明显错误的判别处理,若是,则进入步骤(10);若不是,则进入步骤(11);Step (9): In the case of error discrimination processing, define the three points of continuous sampling in the above step (5) as p4, p5, p6, and the data of the three points are Vp4, Vp5, Vp6, and the values of p4 and p6 Midpoint pp5, the data of pp5 point is Vpp5, carry out the discriminating process to p5 whether obviously wrong in rising or falling, if so, then enter step (10); If not, then enter step (11);
步骤(10):将p5数据Vp5替换为pp5数据Vpp5,Y加1,返回步骤(5),进行下一点的判别处理;Step (10): replace p5 data Vp5 with pp5 data Vpp5, Y adds 1, returns to step (5), and carries out the discrimination processing of next point;
步骤(11):对p5进行极值数据范围的判别处理,若为极值范围内,判别为理想范围合理摆幅内情况,Y加1,返回步骤(5),进行下一点的判别处理;若不是,则将p5数据Vp5替换为pp5数据Vpp5,Y加1,返回步骤(5),进行下一点的判别处理。Step (11): Carry out the discrimination processing of the extreme value data range on p5, if it is within the extreme value range, it is judged as the situation within the reasonable swing of the ideal range, Y is added by 1, and the step (5) is returned to proceed to the next point of discrimination processing; If not, replace p5 data Vp5 with pp5 data Vpp5, add 1 to Y, return to step (5), and proceed to the next point of discrimination processing.
可选地,所述步骤(1)中寻找极值点的比较法为:Optionally, the comparison method for finding extreme points in the step (1) is:
将连续N点采样数据的第一个数据赋值给MAX和MIX,并将其位置赋值给t1和t2,然后从第2个采样点开始,分别把每一个采样点与MAX比较,如其大于等于MAX,则将其值赋予MAX,将其位置赋予t1,否则跳过进行下一个数据点的比较;并且,分别把每一个采样点与MIX比较,如其小于等于MIX,则将其值赋予MIX,将其位置赋予t2,否则跳过进行下一个数据点的比较;依次进行,直到最后一个数据点比较完毕后,确定极值点MAX、MIX的值及其位置t1、t2。Assign the first data of consecutive N point sampling data to MAX and MIX, and assign its position to t1 and t2, and then start from the second sampling point, compare each sampling point with MAX, if it is greater than or equal to MAX , then assign its value to MAX, assign its position to t1, otherwise skip the comparison of the next data point; and compare each sampling point with MIX, if it is less than or equal to MIX, assign its value to MIX, and set Assign its position to t2, otherwise skip the comparison of the next data point; proceed in turn until the last data point is compared, then determine the values of the extreme points MAX, MIX and their positions t1, t2.
可选地,所述步骤(2)中对X的统计方法为:Optionally, the statistical method to X in the step (2) is:
统计值X1归零,从t1位置开始,依次向前进行取值,当所取值小于等于MAX,且大于等于MID时,统计值X1加1;否则跳出;The statistical value X 1 is reset to zero, starting from the t1 position, and the value is taken forward sequentially. When the value is less than or equal to MAX and greater than or equal to MID, the statistical value X 1 is increased by 1; otherwise, it jumps out;
统计值X2归零,从t1位置开始,依次向后进行取值,当所取值小于等于MAX,且大于等于MID时,统计值X2加1;否则跳出;The statistical value X 2 is reset to zero, starting from the position of t1, and the value is sequentially taken backwards. When the value is less than or equal to MAX and greater than or equal to MID, the statistical value X 2 is increased by 1; otherwise, it jumps out;
统计值X3归零,从t2位置开始,依次向前进行取值,当所取值大于等于MIX,且小于等于MID时,统计值X3加1;否则跳出;The statistical value X 3 is reset to zero, starting from the position of t2, the value is taken forward sequentially, when the value is greater than or equal to MIX, and less than or equal to MID, the statistical value X 3 is increased by 1; otherwise, it jumps out;
统计值X4归零,从t2位置开始,依次向后进行取值,当所取值大于等于MIX,且小于等于MID时,统计值X4加1;否则跳出;The statistical value X 4 is reset to zero, starting from the t2 position, and the value is sequentially taken backwards. When the value is greater than or equal to MIX and less than or equal to MID, the statistical value X 4 is increased by 1; otherwise, it will jump out;
将统计值X1、X2、X3、X4中的最大值赋值给X。Assign the maximum value among the statistical values X 1 , X 2 , X 3 , and X 4 to X.
可选地,所述步骤(6)中趋势内情况的判别方法应满足:VY-1≤VY≤VY+1或VY-1≥VY≥VY+1。Optionally, the method for judging the situation within the trend in the step (6) should satisfy: V Y-1 ≤ V Y ≤ V Y+1 or V Y-1 ≥ V Y ≥ V Y+1 .
可选地,所述步骤(6)中趋势外情况应满足:VY-1<VY且VY+1<VY,或VY-1>VY且VY+1>VY。Optionally, the out-of-trend condition in the step (6) should satisfy: V Y-1 <V Y and V Y+1 <V Y , or V Y-1 >V Y and V Y+1 >V Y .
可选地,所述步骤(7)中,p1和p3的中点pp2的数据值Vpp2确定方法为: Optionally, in the step (7), the determination method of the data value Vpp2 of the midpoint pp2 of p1 and p3 is:
可选地,所述步骤(7)中,进行对p2点偏离理想范围的判别方法为: Optionally, in the step (7), the method of judging that the p2 point deviates from the ideal range is:
其中,Δ2定义为p1和p3点之间的垂直距离,对于等间隔采样过程,Δ2=|Vp1-Vp3|;Among them, Δ2 is defined as the vertical distance between p1 and p3 points, for the equal interval sampling process, Δ2=|Vp1-Vp3|;
Δ1定义为p2和pp2点之间的垂直距离,对于等间隔采样过程,Δ1=|Vp2-Vpp2|;若Δ1等于0,则强制Δ1等于0.001;Δ1 is defined as the vertical distance between p2 and pp2 points, for the equal interval sampling process, Δ1=|Vp2-Vpp2|; if Δ1 is equal to 0, then force Δ1 to be equal to 0.001;
β1定义为Δ2与Δ1的比值,作为p2点偏离理论范围的判别。β1 is defined as the ratio of Δ2 to Δ1, which is used as the judgment that point p2 deviates from the theoretical range.
可选地,所述步骤(9)中,p4和p6的中点pp5的数据值Vpp5确定方法为: Optionally, in the step (9), the determination method of the data value Vpp5 of the midpoint pp5 of p4 and p6 is:
可选地,所述步骤(9)中上升或下降中明显错误的判别方法为:当Δ3≥Δ4时,当Δ3<Δ4时,其中,Optionally, the method for judging obvious errors in the rise or fall in the step (9) is: when Δ3≥Δ4, When Δ3<Δ4, in,
Δ3定义为p4和p5点之间的垂直距离,对于等间隔采样过程,Δ3=|Vp4-Vp5|;Δ3 is defined as the vertical distance between points p4 and p5, for equal interval sampling process, Δ3=|Vp4-Vp5|;
Δ4定义为p6和p5点之间的垂直距离,对于等间隔采样过程,Δ4=|Vp6-Vp5|;Δ4 is defined as the vertical distance between p6 and p5 points, for the equal interval sampling process, Δ4=|Vp6-Vp5|;
β2定义为Δ3、Δ4中大值与小值的比值,作为p5点偏离p4和p6点偏离范围的判别。β2 is defined as the ratio of the large value to the small value in Δ3 and Δ4, which is used as the judgment of the deviation range of point p5 from p4 and p6.
可选地,所述步骤(11)中,进行极值数据范围的判别依据为:Vp5>(MAX×(1-δ))或Vp5<(MIX×(1+δ));其中,Optionally, in the step (11), the basis for judging the extreme value data range is: Vp5>(MAX×(1-δ)) or Vp5<(MIX×(1+δ)); wherein,
δ定义为极值范围因子,δ的选取范围满足0≤δ≤0.5。δ is defined as the extreme value range factor, and the selection range of δ satisfies 0≤δ≤0.5.
可选地,所述步骤(2)中理论中间点MID的取值依具体使用的模数转换器器件采样量化位宽来决定,其等于量化最大值与最小值所确定的中间值。Optionally, the value of the theoretical middle point MID in step (2) is determined according to the sampling and quantization bit width of the analog-to-digital converter device used specifically, and it is equal to the middle value determined by the maximum and minimum quantization values.
本发明的有益效果是:The beneficial effects of the present invention are:
(1)利用连续采样数据之间变化趋势可预测性的理论原理,进行高速采样数据误差判别和误差修正处理,使得采样错误回落到正常理想的趋势范围内,从而改善采集效果,提高信号处理的质量,提升采集系统工作性能;(1) Using the theoretical principle of the predictability of the change trend between continuous sampling data, the high-speed sampling data error discrimination and error correction processing are carried out, so that the sampling error falls back to the normal and ideal trend range, thereby improving the acquisition effect and improving the signal processing. Quality, improve the performance of the acquisition system;
(2)从软件分析进行处理,降低了高速采样系统对硬件环境的要求,在硬件调试、人员开销、资源消耗等方面得以大大节省;(2) Processing from software analysis reduces the requirements of the high-speed sampling system on the hardware environment, and greatly saves hardware debugging, personnel expenses, and resource consumption;
(3)由于关注重点为采样后的数据处理,并不关心干扰源的途径,也降低了对硬件环境的依赖性,使得本方法适用性加强,适用范围变广,通用性加强;(3) Since the focus is on the data processing after sampling, the way of the interference source is not concerned, and the dependence on the hardware environment is also reduced, so that the applicability of this method is strengthened, the scope of application becomes wider, and the versatility is strengthened;
(4)通过软件参数进行调试的方式,也使得数字信号处理手段方便、灵活,省时省力。(4) The way of debugging through software parameters also makes the means of digital signal processing convenient and flexible, saving time and effort.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention. Those skilled in the art can also obtain other drawings based on these drawings without creative work.
图1为理想采样和实际采样的示意图;Fig. 1 is the schematic diagram of ideal sampling and actual sampling;
图2为本发明方法中A/D采样频率与工作频率关系确定方法示意图;Fig. 2 is a schematic diagram of a method for determining the relationship between A/D sampling frequency and operating frequency in the method of the present invention;
图3为A/D采样偏离理想曲线情况示意图;Fig. 3 is a schematic diagram of the situation where A/D sampling deviates from the ideal curve;
图4为A/D采样明显错误点情况示意图;Fig. 4 is a schematic diagram of an obvious error point in A/D sampling;
图5为A/D采样修正后情况示意图。FIG. 5 is a schematic diagram of the situation after A/D sampling correction.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
本发明方法的基本原理是利用连续采样的3个采样数据点之间的相关性进行采样数据误差判别处理,并进行错误修正处理,实现高速采样数据中因干扰因素、电磁兼容、时序稳定性等引起的个别采样错误的修正工作,使得高速采样数据波形连续平滑,从而提高信号采集的数据质量,改善高速采样下信号处理的效果。The basic principle of the method of the present invention is to use the correlation between the three sampling data points of continuous sampling to discriminate the sampling data error, and perform error correction processing, so as to realize the high-speed sampling data due to interference factors, electromagnetic compatibility, timing stability, etc. The correction of individual sampling errors caused by it makes the high-speed sampling data waveform continuous and smooth, thereby improving the data quality of signal acquisition and improving the effect of signal processing under high-speed sampling.
本发明的方法在实际应用过程中,需考虑以下几方面的情况:采样频率和工作频率的关系,采样点偏离理想范围的情况,以及采样明显错误点等的处理情况。During the actual application of the method of the present invention, the following aspects need to be considered: the relationship between the sampling frequency and the working frequency, the situation that the sampling point deviates from the ideal range, and the processing situation of the sampling error point.
(1)采样频率与工作频率的关系(1) The relationship between sampling frequency and operating frequency
本发明的方法适用于低频高采样的工作状态,及信号上升过程或下降过程中,多个连续状态信号点的判别处理。The method of the invention is applicable to the working state of low frequency and high sampling, and the discrimination processing of multiple continuous state signal points during the signal rising process or falling process.
以2GSps采样为例,对于一个工作频率为100MHz的信号,其一个采样周期内可采样20个点,在一个上升或下降过程就有10个点,在单调的上升或下降过程中,点的趋势和状态均有一定的规律,对于后续识别处理比较容易。而对于一个工作频率为500MHz的信号,其一个采样周期内可采样仅4个点,上升或下降过程中由于点数太少而不能够很好的体现整个周期内采样点的规律性,所以对后续算法的应用有一定的局限性。所以本发明的方法仅考虑在一个工作信号上升或下降过程中存在多个采样点的情况,也即采样频率至少是工作频率10到20倍的关系为最好应用情况。以一个2GSps采样情况为例,工作频率低于200MHz时的低段频率为应用最佳状态。Taking 2GSps sampling as an example, for a signal with a working frequency of 100MHz, 20 points can be sampled in one sampling period, and there are 10 points in a rising or falling process. During a monotonous rising or falling process, the trend of points Both state and state have certain rules, which is relatively easy for subsequent identification and processing. For a signal with a working frequency of 500MHz, only 4 points can be sampled in one sampling cycle, and the number of points in the rising or falling process is too small to reflect the regularity of the sampling points in the entire cycle. The application of the algorithm has certain limitations. Therefore, the method of the present invention only considers the situation that there are multiple sampling points in the rising or falling process of a working signal, that is, the relationship that the sampling frequency is at least 10 to 20 times the working frequency is the best application situation. Taking a 2GSps sampling situation as an example, the low-band frequency when the operating frequency is lower than 200MHz is the best state for application.
工作频率和采样频率的关系需从具体的采样数据信息中进行解析,在整个处理过程中,首先需确定本次采样数据中数据的极值点及最大值点和最小值点的位置。如图2中所标注的t1时刻点的最大值MAX和t2时刻点的最小值MIX。The relationship between the working frequency and the sampling frequency needs to be analyzed from the specific sampling data information. In the whole processing process, it is first necessary to determine the positions of the extreme points, maximum points, and minimum points of the data in the sampling data. The maximum value MAX at the time point t1 and the minimum value MIX at the time point t2 are marked in FIG. 2 .
得到极值点后,统计MAX点到相邻理论中间点MID之间单向单调下降的采样点数,并且统计MIX点到相邻理论中间点MID之间单向单调上升的采样点数,四次统计值的最大值计为X。以统计到的四次统计值的最大值为依据判别当前大致的工作频率与采样率之间的关系情况。进行四次统计取最大值的做法,是为了避免单次统计中极值点MAX或MIX位于数据首尾附近位置时统计分析不准确的情况。After obtaining the extreme point, count the number of sampling points that decrease monotonically in one direction between the MAX point and the adjacent theoretical middle point MID, and count the number of sampling points that rise monotonously in one direction between the MIX point and the adjacent theoretical middle point MID, and count four times The maximum value of the value is counted as X. The relationship between the current rough working frequency and the sampling rate is judged based on the maximum value of the four statistical values. The method of taking the maximum value for four statistics is to avoid inaccurate statistical analysis when the extreme point MAX or MIX is located near the beginning and end of the data in a single statistics.
上述对X的统计方法具体为:The above statistical methods for X are specifically as follows:
统计值X1归零,从t1位置开始,依次向前进行取值,当所取值小于等于MAX,且大于等于MID时,统计值X1加1;否则跳出;The statistical value X 1 is reset to zero, starting from the t1 position, and the value is taken forward sequentially. When the value is less than or equal to MAX and greater than or equal to MID, the statistical value X 1 is increased by 1; otherwise, it jumps out;
统计值X2归零,从t1位置开始,依次向后进行取值,当所取值小于等于MAX,且大于等于MID时,统计值X2加1;否则跳出;The statistical value X 2 is reset to zero, starting from the position of t1, and the value is sequentially taken backwards. When the value is less than or equal to MAX and greater than or equal to MID, the statistical value X 2 is increased by 1; otherwise, it jumps out;
统计值X3归零,从t2位置开始,依次向前进行取值,当所取值大于等于MIX,且小于等于MID时,统计值X3加1;否则跳出;The statistical value X 3 is reset to zero, starting from the position of t2, the value is taken forward sequentially, when the value is greater than or equal to MIX, and less than or equal to MID, the statistical value X 3 is increased by 1; otherwise, it jumps out;
统计值X4归零,从t2位置开始,依次向后进行取值,当所取值大于等于MIX,且小于等于MID时,统计值X4加1;否则跳出;The statistical value X 4 is reset to zero, starting from the t2 position, and the value is sequentially taken backwards. When the value is greater than or equal to MIX and less than or equal to MID, the statistical value X 4 is increased by 1; otherwise, it will jump out;
将统计值X1、X2、X3、X4中的最大值赋值给X。Assign the maximum value among the statistical values X 1 , X 2 , X 3 , and X 4 to X.
如采样率2GSps情况下统计得到的采样点数为5左右,则可判断当前的频率大致在100MHz左右,此种方法统计得到的数大约为工作频率整个采样周期采样点数的四分之一。此处所用的MID为A/D采样器满量程采样的中间标称理论值,之所以统计MAX或MIX单向单调到MID之间采样数据,是因为在实际采样过程中,MAX和MIX之间可能会含有多个采样周期,及由于噪声等干扰,MAX和MIX往往不是同一个采样周期的最大值和最小值,如果以MAX和MIX之间的采样点数来统计的话,往往需要添加更多的附加限制条件来进行多周期的判别处理,反而不如以MID为参考的统计方法准确、简单。For example, when the sampling rate is 2GSps, the number of sampling points obtained by statistics is about 5, and it can be judged that the current frequency is about 100MHz. The number obtained by this method is about a quarter of the number of sampling points in the entire sampling period of the working frequency. The MID used here is the middle nominal theoretical value of the full-scale sampling of the A/D sampler. The reason why the statistics of the sampling data between MAX or MIX unidirectional and monotonous to MID is because in the actual sampling process, the distance between MAX and MIX It may contain multiple sampling periods, and due to interference such as noise, MAX and MIX are often not the maximum and minimum values of the same sampling period. If the number of sampling points between MAX and MIX is used to count, it is often necessary to add more Adding restrictive conditions to carry out multi-period discrimination processing is not as accurate and simple as the statistical method with MID as a reference.
(2)采样点偏离理想范围的情况(2) When the sampling point deviates from the ideal range
正常工作过程中,采样点总是附着在理想曲线一定的范围内,此范围随着噪声影响的大小而变化,但在噪声影响范围内应满足信号分析的需求。当采样系统由于其他干扰问题,导致采样点偏离略大时,将对信号分析结果带来一定的不利影响。In the normal working process, the sampling point is always attached to a certain range of the ideal curve. This range changes with the size of the noise influence, but the signal analysis needs should be met within the noise influence range. When the sampling system deviates slightly due to other interference problems, it will have a certain adverse effect on the signal analysis results.
如图3左侧放大的采样点p2偏离理论曲线过大的情况。p1、p2、p3三个采样点理论上应该能够连接成一条近似直线的曲线,p2点理论上应该位于p1、p3连接中点pp2附近,但在实际的采样过程中,p2点可能有偏离pp2点较大的情况,此时可认为在噪声影响范围内,p2点的采样误差较大,此点将对数据处理产生影响,需进行预前处理。The enlarged sampling point p2 on the left side of Figure 3 deviates too much from the theoretical curve. In theory, the three sampling points p1, p2, and p3 should be able to be connected into a curve that approximates a straight line. In theory, point p2 should be located near the midpoint pp2 of the connection between p1 and p3, but in the actual sampling process, point p2 may deviate from pp2 In the case of large points, it can be considered that within the scope of noise influence, the sampling error of point p2 is relatively large. This point will have an impact on data processing, and pre-processing is required.
本发明方法处理的思想为,将偏离大的点拉回理论中点附近。但判别的依据需要考虑多方面的因素,比如p1、p3点也可能是偏离较大的点。所以判别时不以单个点的位置为判别依据,而是以点与点之间的距离为判别准则,这样可减少其中个别点的片面现象。The idea of the method of the present invention is to pull the point with a large deviation back to the vicinity of the theoretical midpoint. However, the basis for discrimination needs to consider many factors, for example, points p1 and p3 may also be points with large deviations. Therefore, the judgment is not based on the position of a single point, but the distance between points is used as the judgment criterion, which can reduce the one-sidedness of individual points.
在发明的方法中,由于为等间隔采样,以p1和p3点之间的垂直距离Δ2和p2和pp2点之间的垂直距离Δ1的比例倍数来进行判别,理论上,当p2越接近理论值pp2时,Δ2/Δ1的比例倍数越大,说明p2点越准确。当比例倍数越小时,说明p2偏离pp2点越大,p2点采样误差越大。In the invented method, due to equal interval sampling, the vertical distance Δ2 between p1 and p3 points and the vertical distance Δ1 between p2 and pp2 points are used for discrimination. In theory, when p2 is closer to the theoretical value At pp2, the larger the ratio of Δ2/Δ1, the more accurate the point p2 is. When the proportional multiple is smaller, it means that the p2 deviates from the pp2 point more, and the sampling error of the p2 point is larger.
本情况下判别的依据为Vp1≤Vp2≤Vp3(上升情况)或Vp1≥Vp2≥Vp3(下降情况),且Δ2/Δ1<5,及p2点偏离理论点pp2有2/5个标称间距以上的情况。当然Δ2/Δ1的判别标准可适具体噪声情况而调整。当达到以上两个条件后,可判别p2采样点偏离理论值点太大,采样误差过大,需进行人为修正,将理论值点pp2代替p2点进行后续的数据处理,从而剔除误差点p2的影响。In this case, the basis for discrimination is Vp1≤Vp2≤Vp3 (rising condition) or Vp1≥Vp2≥Vp3 (declining condition), and Δ2/Δ1<5, and p2 deviates from the theoretical point pp2 by more than 2/5 of the nominal distance Case. Of course, the criterion of Δ2/Δ1 can be adjusted according to specific noise conditions. When the above two conditions are met, it can be judged that the p2 sampling point deviates too much from the theoretical value point, the sampling error is too large, and artificial correction is required, and the theoretical value point pp2 is replaced by p2 point for subsequent data processing, thereby eliminating the error point p2 influences.
(3)采样明显错误点的情况(3) The case of sampling obvious wrong points
在正常的采样过程中,单调的上升或下降应该保持其一致的单调性,但在实际采样过程中,由于干扰问题,会出现如图4右侧所示的p4、p5、p6点中p5的错误情况,其已不再符合理论的单调上升或下降的情况,在正常的走势过程中发生了逆转,可定性为采样错误点,将对后续数据处理带来影响,需要通过前处理进行修正。In the normal sampling process, the monotonous rise or fall should maintain its consistent monotonicity, but in the actual sampling process, due to interference problems, there will be p5 in the points p4, p5, and p6 shown on the right side of Figure 4 The error situation, which no longer conforms to the theoretical monotonous rise or fall, has reversed during the normal trend process, which can be characterized as a sampling error point, which will affect subsequent data processing and needs to be corrected through pre-processing.
p5点作为错误点,判别的依据为:首先,其不能满足上述(2)中误差偏大的情况,即应为Vp5<Vp4并且Vp5<Vp6、或Vp5>Vp4并且Vp5>Vp6的情况,也即中间点要么比邻点都小,要么比邻点都大,即中间点不满足单调递增或递减的走势情况。然后,再判断中间点偏离邻点的情况,首先定义中间点p5到两个邻点p4、p6的垂直距离Δ3、Δ4,以其中较大的一个为分子,较小的为分母计算比例倍数,如图4中的Δ4/Δ3,之所以如此判断,是为了判定p5点是在波形上升或下降的过程中发生的,而不是在波形的底部或顶部发生。这里给定Δ4/Δ3≥2进行判定,即可剔除大部分顶点和底点的情况。当判断条件有效后,使用p4、p6的理论中点pp5来代替p5,以剔除p5的错误情况。Point p5 is used as an error point, and the basis for discrimination is as follows: first, it cannot satisfy the situation that the error in the above (2) is too large, that is, it should be Vp5<Vp4 and Vp5<Vp6, or Vp5>Vp4 and Vp5>Vp6, also That is, the middle point is either smaller than the adjacent points, or larger than the adjacent points, that is, the middle point does not satisfy the trend of monotonically increasing or decreasing. Then, to judge the situation where the middle point deviates from the neighboring point, first define the vertical distances Δ3 and Δ4 from the middle point p5 to the two neighboring points p4 and p6, and use the larger one as the numerator and the smaller one as the denominator to calculate the ratio multiple, As shown in Δ4/Δ3 in Figure 4, the reason for this judgment is to determine that point p5 occurs during the rise or fall of the waveform, rather than at the bottom or top of the waveform. Here, Δ4/Δ3≥2 is given for judgment, and most of the vertices and bottom points can be eliminated. When the judgment condition is valid, use the theoretical midpoint pp5 of p4 and p6 to replace p5 to eliminate the error of p5.
当Δ4/Δ3<2时,此时可判断p5偏离p4、p6点的距离并不是相差很大,可归结为p5点发生在波形的顶部或底部,因为此处相邻点之间幅值差距并不大,由于噪声干扰,可能产生该种情况,如图4中所标注的顶部和底部区域,在噪声干扰下,该区域有可能产生小幅波浪形采样情况,已经不符合小幅上升或下降的趋势。When Δ4/Δ3<2, it can be judged that the distance between p5 and p4 and p6 is not very different, and it can be attributed to the fact that p5 occurs at the top or bottom of the waveform, because there is a difference in amplitude between adjacent points It is not large. Due to noise interference, this situation may occur, such as the top and bottom areas marked in Figure 4. Under noise interference, this area may produce a small wave-shaped sampling situation, which does not meet the small rise or fall. trend.
对小幅增量改变的信号修正进行识别,首先,判断p5是否是上述搜索出的最大点MAX或最小点MIX,是则因为其处于极值点,相邻点应该都比其小或大,是正确的情况;否则,说明p5点可能是小幅波浪形噪声干扰错误情况。由于在一次采集的数据中,可能包含多个波形周期,所以对最大最小的判断不以一个点来进行,而是以极值点的一个小范围来进行判断,以剔除多个波形周期中其他周期中极值点的范围情况。如果认为在一次采样过程多个采样周期的最大值点均位于MAX~MAX×(1-δ)范围内,最小值都位于MIX×(1+δ)~MIX范围内(这里假定所有采样数据均为正值分布),δ的范围可根据实际情况进行设定,如δ定位0.05,则p5点需满足MIX×1.05≤Vp5≤MAX×0.95,则认定为p5点发生了顶部或底部噪声干扰错误,此时仍以其理论中点pp5来代替p5,进行小幅修正操作。Identify the signal correction of small incremental changes. First, judge whether p5 is the maximum point MAX or the minimum point MIX found above. If it is at the extreme point, the adjacent points should be smaller or larger than it. Yes Correct situation; otherwise, point p5 may be a small wave-shaped noise interference error situation. Since the data collected at one time may contain multiple waveform periods, the maximum and minimum judgments are not based on one point, but on a small range of extreme points to eliminate other waveform periods in multiple waveform periods. The range of extreme points in the cycle. If it is considered that the maximum points of multiple sampling periods in a sampling process are all within the range of MAX~MAX×(1-δ), and the minimum values are all within the range of MIX×(1+δ)~MIX (here it is assumed that all sampled data are is a positive value distribution), the range of δ can be set according to the actual situation, such as δ positioning 0.05, then point p5 needs to meet MIX×1.05≤Vp5≤MAX×0.95, then it is determined that a top or bottom noise interference error has occurred at point p5 , at this time still use its theoretical midpoint pp5 to replace p5, and carry out a small correction operation.
经过以上的小幅摆幅误差修正预前处理,采样点得到大幅修正处理,使得实际采样效果接近理论分析预估结果,如图5所示。在后续信号处理过程中,有效的避除部分噪声或其他干扰所致的小摆幅误差或小毛刺干扰问题。After the above small swing error correction pre-processing, the sampling points are greatly corrected, making the actual sampling effect close to the predicted result of theoretical analysis, as shown in Figure 5. In the subsequent signal processing process, the small swing error or small glitch interference caused by part of the noise or other interference can be effectively avoided.
本发明方法中所述的X、β1、β2、δ的取值可依据具体硬件工作环境、软件调试条件等进行范围内不同取值的改变,以适应不同条件下本发明方法的最优化效果。The values of X, β1, β2, and δ described in the method of the present invention can be changed according to the specific hardware working environment, software debugging conditions, etc., to adapt to the optimization effect of the method of the present invention under different conditions.
本发明的方法从连续采样的3个采样点之间的相关性考虑出发,利用连续采样数据之间变化趋势可预测性的理论原理,进行高速采样数据误差判别和误差修正处理,使得采样错误回落到正常理想的趋势范围内,从而改善采集效果,提高信号处理的质量,提升采集系统工作性能。本发明方法从软件分析进行处理,降低了高速采样系统对硬件环境的要求,在硬件调试、人员开销、资源消耗等方面得以大大节省。由于关注重点为采样后的数据处理,并不关心干扰源的途径,也降低了对硬件环境的依赖性,使得本方法适用性加强,适用范围变广,通用性加强。同时,通过软件参数进行调试的方式,也使得数字信号处理手段方便、灵活,省时省力。The method of the present invention starts from the consideration of the correlation between the three sampling points of continuous sampling, and uses the theoretical principle of the predictability of the change trend between continuous sampling data to perform high-speed sampling data error discrimination and error correction processing, so that sampling errors fall back To the normal and ideal trend range, thereby improving the acquisition effect, improving the quality of signal processing, and improving the performance of the acquisition system. The method of the invention performs processing from software analysis, reduces the requirement of the high-speed sampling system on the hardware environment, and greatly saves hardware debugging, personnel expenses, resource consumption and the like. Since the focus is on the data processing after sampling, the path of the interference source is not concerned, and the dependence on the hardware environment is also reduced, which makes the applicability of the method stronger, the scope of application wider, and the universality stronger. At the same time, the method of debugging through software parameters also makes the means of digital signal processing convenient and flexible, saving time and effort.
以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the scope of the present invention. within the scope of protection.
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