Improved analog circuit signal noise reduction method
An analog circuit and signal technology, applied in the field of improved analog circuit signal noise reduction, can solve problems such as poor, effective engineering practice effects of simulated signals, etc.
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Embodiment 1
[0082] In order to verify the effectiveness of the method in the present invention, investigate the FM-AM signal mixed with noise as shown in the following formula: In the formula, the original signal x(t) is given by the attached figure 1 The pure signal x shown 0 (t) and attached figure 2 The SNR shown is the synthesis of 3dB Gaussian white noise n(t), and the signal waveform is as attached image 3 As shown, the sampling frequency is 1024Hz, and the simulation time is t∈[0,1].
[0083] In order to intuitively judge the quality of noise reduction, the correlation index C is introduced as a reference, and the correlation index The closer C is to 1, the closer the signal after noise reduction is to the pure signal, that is, the better the noise reduction effect.
[0084] Utilize the method in the present invention to carry out the result of denoising processing as attached Figure 4 As shown, the dimension of the filtered signal varies with the singular value sequence ...
Embodiment 2
[0095] Embodiment 1 is based on the ideal condition where the model is known and the parameters are adjustable. In practical applications, the measured signal is often unknown. In order to illustrate the application effect of the algorithm in the present invention to the actual signal, the actual signal is verified.
[0096] attached Figure 11 It is the noise reduction result of a sine wave signal with a signal-to-noise ratio of 0dB, with Figure 12-14 It is the noise reduction result of several unknown signals randomly extracted in a certain missile circuit. It can be seen that the variation trend of the dimensionality of the filtered signal in the actual measurement process is completely consistent with the simulation experiment, and the noise reduction effect is better.
Embodiment 3
[0098] This embodiment verifies the suppression effect of the method in the present invention on the modal aliasing phenomenon.
[0099] Investigate the LCD decomposition of the following signal:
[0100] x(t)=cos(60πt+sin(100πt))+nt); wherein, the signal-to-noise ratio of Gaussian white noise n(t) is 3. Decompose the LCD directly on x(t), and get as attached Figure 15 Shown decomposition result; Carry out LCD again after carrying out SVD to it with algorithm among the present invention, decomposition result is as attached Figure 16 shown.
[0101] Contrast attached Figure 15 And attached Figure 16 It can be seen that when LCD is directly performed on the noise-containing signal, each component of the original signal is separated into more ISC components; after the improved SVD noise reduction in the present invention, the number of components is reduced, and the decomposition quality is significantly improved. The modal aliasing phenomenon is significantly reduced. ...
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