A Pulse Signal Denoising Method Based on Enhanced Gaussian Redundancy Dictionary
A pulse signal, redundant dictionary technology, applied in character and pattern recognition, medical science, diagnosis, etc., can solve problems such as inability to deal with noise, and achieve the effect of saving resources, improving computing efficiency, and improving signal-to-noise ratio.
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[0045] Such as figure 1 As shown, the present invention discloses a pulse signal denoising method based on an enhanced Gaussian redundancy dictionary, which comprises the following steps:
[0046] Step 1, pre-generate the enhanced Gaussian redundancy dictionary, the mathematical model of the enhanced Gaussian redundancy dictionary is:
[0047] ψ=[D 1 D. 2 D.3 …D u B 1 B 2 B 3 …B q E P 50 ] (1)
[0048] Among them, u N×N-dimensional Gaussian matrix D u Corresponding to the noise-free pulse signal, q N×N-dimensional Gaussian matrices B q Corresponding to low-frequency and high-frequency noise, one N×N-dimensional identity matrix E corresponds to random noise, and one N×N-dimensional sinusoidal matrix P with a frequency of 50 Hz 50 Corresponding to the interference of 50Hz power frequency noise;
[0049] Further, u N×N-dimensional Gaussian matrices D u element d in d (i, j) is:
[0050]
[0051] Among them, i,j∈[1,N] is the row and column of the element ...
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