The Method of Determining Distortion Degree of Non-Uniform Sampling Sine Waveform
A technology of non-uniform sampling and sinusoidal waveform, which is applied in the direction of digital variable/waveform display, instrument, measuring instrument components, etc. It can solve the problems of increased sampling sequence distortion, wrong results, and inability to perform measurement applications, etc.
Active Publication Date: 2020-12-29
BEIJING CHANGCHENG INST OF METROLOGY & MEASUREMENT AVIATION IND CORP OF CHINA
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Its disadvantage is: due to the non-uniform sampling effect caused by imperfect splicing, the distortion of the sampling sequence increases, and it is difficult to use it to analyze the distortion of sinusoidal waveforms.
It can be seen that when the sine wave sampling sequence is a non-uniform sampling sequence, the frequency domain analysis method based on uniform sampling as a prerequisite cannot be used anymore. If it is used forcibly, it will bring uncertain method errors, or even gives wrong result
The time-domain optimal estimation method based on uniform sampling cannot be used directly. Since the distortion is not "uniformly" distributed in the time domain, the distortion measurement results brought by the direct use of the optimal estimation method will also be affected by the sampling uniformity. The degree of influence differs from the definition of distortion, which makes it impossible for measurement applications
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[0065] For such as figure 2 The non-uniform sampling sequence waveform shown, when there are only 2 ADCs for sampling, the final synthesis obtains the waveform sequence, in which the peak amplitude of the sinusoidal signal is 4V, the frequency is 11.000Hz, the distortion is 0, and the sampling rate of each ADC1 and ADC2 Both are 200Sa / s, the delay τ of ADC1 1 =0s, the delay τ of ADC2 2 =1μs, thus generating a non-uniform sampling sequence.
[0066] The original sine signal is an ideal signal of 24-bit A / D, and the degree of distortion is less than -145dB. After this non-uniform sampling, if non-uniform sampling compensation is not performed, it will still be processed according to the uniform sampling sequence, and the total distortion will be 4.8×10 -5 , which is -68.12dB>-145dB. The data processing method introduces additional distortion.
[0067] According to the non-uniform sampling sequence processing method of the present invention, the total distortion degree will...
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The present invention belongs to the technical field of radio measurement testing, and relates to a non-uniform sampling sinusoidal waveform distortion degree determination method. The method comprises the following steps of: integral period capture; calibration of a sampling moment; determination of a theoretical function of a sinusoidal waveform; fitting of a non-uniform sampling sequence waveform; calculation of a weighted value wi of [Epsilon]i; calculation of a fitting residual effective value as shown in the description; and calculation of a non-uniform sampling sinusoidal waveform distortion degree [Eta]. The non-uniform sampling sinusoidal waveform distortion degree determination method can eliminate the increasing of distortion of a sampling sequence caused by a non-uniform sampling effect due to incomplete splicing and can ensure the accuracy of sinusoidal waveform distortion degree analysis.
Description
technical field [0001] The invention belongs to the technical field of radio metering and testing, and relates to a method for determining the distortion degree of a non-uniform sampling sinusoidal waveform. Background technique [0002] There are many physical phenomena that can be finally attributed to sine phenomena, such as vibration, swing, and fluctuation, which involve signal waveforms of physical quantities in many disciplines such as sound, light, electricity, radio, and force. Therefore, sine waveforms are the basic signal waveforms commonly used in metrology and testing. , There are applications in radio measurement, vibration measurement, acoustic measurement, electrical measurement, and mechanical measurement. [0003] The ideal sinusoidal waveform is a two-dimensional signal waveform that conforms to the mathematical relationship expression. Usually, one dimension is the uniform elapsed time, and the other dimension is the instantaneously changing amplitude inf...
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IPC IPC(8): G01D21/02G01D11/00G01R13/00
CPCG01D11/00G01D21/02G01R13/00
Inventor 梁志国
Owner BEIJING CHANGCHENG INST OF METROLOGY & MEASUREMENT AVIATION IND CORP OF CHINA