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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

Active Publication Date: 2018-05-04
GUILIN UNIV OF ELECTRONIC TECH
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] What the present invention is to solve is the comparatively complex problem of the prototype filter design of the existing M-channel graph filter bank, and provides an optimal design method for the M-channel oversampling modulation graph filter bank

Method used

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  • Optimized design method of M channel over-sampling modulation graph filter group
  • Optimized design method of M channel over-sampling modulation graph filter group
  • Optimized design method of M channel over-sampling modulation graph filter group

Examples

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Comparison scheme
Effect test

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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Abstract

The invention discloses an optimized design method of an M channel over-sampling modulation graph filter group. The design problem of a graph filter group is summarized into the design of four original filters; through the modulation of the four original filters, the integral design of the graph filter group is realized; the design complexity of the original filters is sufficiently considered; theoriginal filter design is performed under the condition of considering the complete re-configuration conditions and the frequency spectrum characteristics of the graph filter group, so that the integral performance of the graph filter group is improved. The invention provides a simple and effective solution scheme for reducing the design complexity and re-configuration errors of the graph filtergroup and realizing the signal recovery and re-configuration.

Description

technical field [0001] The invention relates to the technical field of multi-rate signal processing, in particular to an optimal design method of an M-channel oversampling modulation map filter bank. Background technique [0002] Graph signal processing is an important part of signal processing, which has attracted much attention in recent years. In order to process irregular signals and network data, researchers have introduced graph signal processing, and regular signals can also be modeled as graph signals for processing, so graph signal processing has more advantages than traditional signal processing. Graph signal processing has very important application significance in network, denoising, smart city, signal anomaly detection and recovery, semi-supervised classification, image processing, big data processing, etc. As the core content of graph signal processing, the graph filter bank has aroused more and more scholars' research interest. Compared with the traditional f...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/30
Inventor 蒋俊正刘松辽欧阳缮孙希延谢跃雷杨玉琳曹想杨杰杨圣赵海兵
Owner GUILIN UNIV OF ELECTRONIC TECH
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