Design method for designing two-path orthogonal graph filter group
A filter bank and design method technology, applied in instruments, computing, image enhancement, etc., can solve problems such as poor frequency characteristics, and achieve the effects of good frequency characteristics, small reconstruction error, and high stopband attenuation
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[0028] A design method for designing a two-channel orthogonal graph filter bank, comprising the steps of:
[0029] Step 1: Design an initial filter of length L. Initialize filter coefficients (let k=0), The design of , boils down to the fact that the objective function is the weighted sum of the filter's passband distortion and stopband energy, and the constraint function is a band-constrained optimization problem with 3dB bandwidth:
[0030]
[0031] where x p is h 0 (x) passband cut-off frequency, x s is the cut-off frequency of the stop band, and the parameter α is a weighting factor (in the experiment, α=10 can be selected 2 ,10 3 ). This problem is a convex optimization problem, which can be solved by software packages such as CVX or Sedumi, so can be easily obtained.
[0032] Step two: according to figure 1 The structure of a two-channel orthogonal graph filter bank is given with a sampling factor of β H , where H 0 ,H 1 constitutes the analysis filter...
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