A Design Method for Fully Reconstructive Filter Banks Based on Frequency Warping and Cosine Modulation
A technology of cosine modulation and complete reconstruction, which is applied in the direction of electrical components, digital technology networks, impedance networks, etc., can solve the problems of increased complexity of masking filter layers and reduced system flexibility, so as to reduce complexity and improve flexibility , Good reconfigurability effect
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[0044] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
[0045] First design a prototype filter, h(n) is the coefficient expression of the prototype filter, the length of h(n) is N, after cosine modulation, M+1 subbands are obtained, and M is the parameter of cosine modulation. h i(n) is the coefficient expression of the i-th cosine modulation subband, i ranges from 0 to M, and the equation is as follows
[0046]
[0047] c when i=1, L, M-1 i =1, when i=0, M c i = 2
[0048]
[0049] h i (z) is the z-transform of the ith cosine-modulated subband,
[0050] The spectral division of each subband is as figure 1 shown, from figure 1 It can be seen that the distance between the center frequencies of every two adjacent subbands is π / M. A well-known approach to frequency warping with digital filters is to replace the delay elements with an all-pass system. The expression of the all-pass filter G(Z) is ...
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