Design Method of Approximately Complete Reconstruction Non-Uniform Cosine Modulated Filter Bank

A filter bank and cosine modulation technology, which is applied in the fields 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, achieve simple and efficient accurate reconstruction, reduce design costs, and The effect of small construction error

Active Publication Date: 2018-05-29
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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  • Design Method of Approximately Complete Reconstruction Non-Uniform Cosine Modulated Filter Bank
  • Design Method of Approximately Complete Reconstruction Non-Uniform Cosine Modulated Filter Bank
  • Design Method of Approximately Complete Reconstruction Non-Uniform Cosine Modulated Filter Bank

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example 1

[0072] 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 Li J L et al. and the method design of the present invention. In the direct combining method proposed by Li J L 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 Zhang Z J on "IEEE Signal 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 ba...

example 2

[0077] 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 .

[0078] Table 2

[0079]

[0080]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 Li J L 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. Small. By co...

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Abstract

The invention discloses a design method for approximately completely reconstructing a non-uniform cosine modulation filter bank. The non-uniform filter bank reconstruction error obtained by directly optimizing the performance of the non-uniform filter bank is smaller and the overall performance is more excellent. . Simultaneously the present invention is by summarizing the design problem of the non-uniform filter bank into an unconstrained optimization problem about the prototype filter, wherein the objective function is the weighted sum of the transfer distortion of the non-uniform filter bank and the stopband energy of the prototype filter, and finally utilizes the linear An iterative algorithm is used to solve the optimization problem, which significantly reduces the design cost of the non-uniform filter bank. Therefore, the present invention provides a simple and efficient solution for reducing design complexity and realizing accurate signal reconstruction.

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 Patents(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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