Designing method for near-complete reconstruction non-uniform cosine modulated filter bank

A filter bank and cosine modulation technology, which is applied in the direction of instruments, calculations, and special data processing applications, can solve problems such as the inability to directly control and optimize the performance of non-uniform filter banks, and achieve simple and efficient accurate reconstruction, reduce complexity, and reduce The effect of design costs

Active Publication Date: 2016-01-27
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

[0005] The technical problem to be solved by the present invention is the inability to directly control and optimize the performance of non-uniform filter banks in the existing direct combination method for designing non-uniform filter banks, and to provide a design for approximately completely reconstructed non-uniform cosine-modulated filter banks method

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  • Designing method for near-complete reconstruction non-uniform cosine modulated filter bank
  • Designing method for near-complete reconstruction non-uniform cosine modulated filter bank
  • Designing method for near-complete reconstruction non-uniform cosine modulated filter bank

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example 1

[0069] Design a non-uniform cosine modulated filter bank: K=5,n i = [2, 4, 8, 16, 16], respectively adopting the direct combination method proposed by LiJL et al. and the method design of the present invention. In the direct combining method proposed by LiJL et al., a uniform filter bank is converted into a non-uniform filter bank by means of subband combining. Among them, the uniform filter bank adopts the algorithm design in "Efficient design of cosine modulated filter banks based on gradient information" published by ZhangZJ on "IEEESignal Processing Letters", the number of channels is 16, and the length of the prototype filter is 256. In the present invention, its related parameters are M=16, N=256, D=N-1, ω s =π / M,δ=2.5×10 -7 , using direct optimization to design the non-uniform filter bank. For the fairness of the comparison, the initial filter used for iteration in the method of the present invention is the same as the prototype filter of the uniform filter bank used...

example 2

[0074] 3-channel non-uniform filter banks with sampling factors [4, 4, 2] are designed respectively by using the method of the present invention and the existing method, and then performance analysis and comparison are carried out. The relevant parameter of the inventive method is: K=3, n i =[4,4,2], M=4,ω s =π / M,D=N-1. When N=44, α=0.5, δ=1.0×10 -6 ; When N=64, α=0.4, δ=1.0×10 -7 .

[0075] Table 2

[0076]

[0077] Table 2 shows the reconstruction error of the non-uniform cosine modulation filter bank designed by the method of the present invention and the existing method and the stopband attenuation of the prototype filter. By comparing the method of the present invention with the LiJL method, it can be seen that the method of directly optimizing the non-uniform filter used in this paper is better than the direct combination method, and the overall performance of the obtained non-uniform filter bank is better, and the reconstruction error is smaller . By comparing...

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Abstract

The invention discloses a designing method for a near-complete reconstruction non-uniform cosine modulated filter bank. According to the designing method, the reconstruction errors of the non-uniform filter bank obtained through the method of directly optimizing the performance of the non-uniform filter bank are smaller, and the overall performance is better. Meanwhile, the designing problem of the non-uniform filter bank is reduced to an unconstrained optimization problem about a prototype filter, wherein the objective function is the weighted sum of transmission distortion of the non-uniform filter bank and the stopband energy of the prototype filter; finally, the optimization problem is solved by utilizing a linear iterative algorithm, and therefore the designing cost of the non-uniform filter bank is remarkably lowered. Accordingly, the designing method provides a simple and efficient solution for lowering the designing complexity and implementing accurate construction of signals.

Description

technical field [0001] The invention belongs to the field of filter bank design, and in particular relates to a design method of an approximately completely reconstructed non-uniform cosine modulation filter bank. Background technique [0002] As the core content of multi-rate signal processing, filter bank has been paid much attention, and it has been widely used in adaptive filtering, speech and image coding and image processing. To design a general filter bank, all analysis filters and synthesis filters need to be optimized, while to design a modulation filter bank, only the prototype filter needs to be optimized, which greatly reduces the complexity of the design. There are currently two main types of modulated filter banks, namely cosine modulated filter banks and discrete Fourier transform modulated filter banks. Compared with these two modulation filter banks, since the cosine modulation filter bank is obtained by cosine modulation, it is more suitable for processing...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50H03H17/02
Inventor 蒋俊正江庆欧阳缮刘庆华谢跃雷程小磊穆亚起郭云
Owner GUILIN UNIV OF ELECTRONIC TECH
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