Construction method of integrative filter bank with cellular structure
A filter bank and structure synthesis technology, which is used in instruments, image data processing, computing, etc., can solve the problems that the filter bank cannot be guaranteed to have a lattice structure, and can not be used to design a lattice structure oversampling filter bank.
Inactive Publication Date: 2011-10-05
WUHAN UNIV OF SCI & TECH
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But existing oversampled filter bank design methods for denoising cannot guarantee the filter bank has a lattice structure, so they cannot be used to design a lattice structured oversampled filter bank with linear phase
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[0078] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments, without limiting its protection scope.
[0079] A method for constructing a lattice structure synthesis filter bank. First, the unified description of the tags involved in this method is as follows:
[0080] P is an even number, indicating the number of channels transmitted; n s Indicates the number of symmetric filters; n a Indicates the number of antisymmetric filters, n a =n s =P / 2; M represents the extraction number, M=2m, and m is a natural number; L represents the length of the analysis filter bank; superscript-1 represents the inverse of the matrix; superscript T represents the transposition of the matrix; I n Indicates the n-order identity matrix; J n Represents the inversion matrix of the n-order identity matrix; diag() represents a diagonal matrix; z -1 Indicates a unit delay; W 2n represents a butterfly structure, Both the ana...
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The invention relates to a construction method of an integrative filter bank with a cellular structure. The invention has the following technical scheme: firstly, sub-band noise is modeled, and a sub-band noise model is described into a linear time invariant system; when an input signal of a system is white noise, the spectrum of an output signal is the same as the spectrum of the sub-band noise n(k), and the function of the system is marked as Wn(z); and then, a multiphase component R(z) of the optimal integrative filter bank with the cellular structure is determined according to the cellular structure of a multiphase component E(z) of an analytic filter bank, then an original image x(n) is reconstructed by utilizing the integrative filters corresponding to the multiphase component R(z) to obtain a reconstructed image, and the reconstructed image meets the minimum power spectrum norm of an error signal e(n). The invention takes the minimum power spectrum norm of the reconstructed error signal e(n) as a design basis and constructs the multiphase component R(z) of the integrative filter bank with a linear phase and the cellular structure, so that the peak signal-to-noise ratio of the reconstructed image is maximum, and the sub-band denoising effect of the image is optimal.
Description
technical field [0001] The invention belongs to the technical field of image sub-band denoising. In particular, the invention relates to a construction method of a lattice structure synthesis filter bank. Background technique [0002] Linear phase complete reconstruction filter banks are widely used in image processing, and many people are devoted to the study of the theory, design and application of linear phase complete reconstruction filter banks. The linear-phase complete reconstruction filter bank can be implemented with a lattice structure, which not only maintains the property of complete reconstruction, but also can be realized quickly. The lattice structure was first used in the two-channel linear phase complete reconstruction filter bank, and later used in the M-channel pseudo-unitary linear phase complete reconstruction filter bank, and then extended to the linear phase filter without the pseudo-unitary property group. Oversampling filter banks have more advant...
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IPC IPC(8): G06T5/00
Inventor 柴利盛玉霞曲本香
Owner WUHAN UNIV OF SCI & TECH