Pulse signal denoising method based on enhanced Gaussian redundant dictionary
A pulse signal, redundant dictionary technology, applied in character and pattern recognition, medical science, instruments, etc., can solve problems such as inability to handle noise, save resources, improve computing efficiency, and suppress high-frequency noise.
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[0046] 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:
[0047] Step 1, pre-generate the enhanced Gaussian redundancy dictionary, the mathematical model of the enhanced Gaussian redundancy dictionary is:
[0048] ψ=[D 1 D. 2 D.3 …D u B 1 B 2 B 3 …B q E P 50 ] (1)
[0049] Among them, u N×N-dimensional Gaussian dictionary D u Corresponding to the noise-free pulse signal, q N×N-dimensional Gaussian dictionaries B q Corresponding to low-frequency and high-frequency noise, one N×N-dimensional unit matrix E corresponds to random noise, and one N×N-dimensional sinusoidal matrix P with a frequency of 50Hz 50 Corresponding to the interference of 50Hz power frequency noise;
[0050] Further, u N×N-dimensional Gaussian dictionary D u element d in d (i, j) is:
[0051]
[0052] Among them, i,j∈[1,N] is the row and column of the eleme...
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