Optimized design method of M channel over-sampling modulation graph filter group
A filter bank, optimization design technology, applied in CAD circuit design, instrumentation, calculation and other directions, can solve the problem of complex prototype filter design, achieve simple and effective restoration and reconstruction, improve overall performance, reduce design complexity and heavy weight. The effect of structural errors
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example 1
[0101] Design a graph filter bank with the following parameters:
[0102] L h0 =12, L h1 =12, L g0 =11,L g1 =11,λ pd0 =0.3,λ pd1 =0.35,λ pd2 =0.55,λ sd0 =0.55,λ sd1 =0.1,λ sd2 =1.0,α=0.1,ε r =10 -10 ; The magnitude response of the graph filter bank is obtained as image 3 As shown, PR in the figure represents the reconstruction error of the graph filter bank corresponding to different values of λ. The values of maximum reconstruction error and orthogonality calculated by simulation are E max =3.31×10 -10 , Θ=0.8883, under the same graph filter bank length and operating environment, Table 1 provides the method of the present invention and existing method 1 (nearly orthogonal M channel oversampling), existing method 3 (a kind of design M Comparison of reconstruction performance and boundary ratio of graph filter banks designed by a new method for channel biorthogonal oversampling graph filter banks.
[0103] Table 1
[0104]
[0105] R B is the boundary r...
example 2
[0107] Design a graph filter bank with the following parameters:
[0108] L h0 =8,L h1 =8,L g0 =7,L g1 =7,λ pd0 =0.3,λ pd1 =0.35,λ pd2 =0.55,λ sd0 =0.55,λλ sd1 =0.1,λ sd2 =1,α=0.1,ε r =10 -13 ; The obtained amplitude response of the modulation map filter bank is as follows Figure 4 shown. Under the same graph filter bank length and operating environment, table 2 has provided the method of the present invention and existing method 2 (M channel oversampling graph filter bank), existing method 3 (a kind of design M channel biorthogonal pass Comparison of reconstruction performance and orthogonality of graph filter banks designed by A New Method for Sampling Graph Filter Banks.
[0109] Table 2
[0110]
[0111] The closer the orthogonality Θ is to 1, the better the orthogonality of the filter bank is. The comparison shows that the reconstruction error of the graph filter bank designed by the method of the present invention is obviously smaller than that of the ...
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