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Distributed design method of non-uniform graph filter bank

A filter bank and design method technology, applied in design optimization/simulation, special data processing applications, etc., can solve the problem of high computational cost

Active Publication Date: 2021-05-18
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

Moreover, the current distributed method on the graph filter bank is mainly based on the matrix approximation theory to approximate the inverse of the Hessian matrix, using the second-order information, and the calculation cost is high.

Method used

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  • Distributed design method of non-uniform graph filter bank
  • Distributed design method of non-uniform graph filter bank
  • Distributed design method of non-uniform graph filter bank

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Embodiment

[0040] A distributed design method for a non-uniform graph filter bank, comprising the steps of:

[0041] 1) Design a non-uniform analysis filter bank: the input-output relationship of the graph filter bank is expressed as shown in formula (1):

[0042]

[0043] where x and Denote the input and output of the graph filter bank, respectively, {H 0 ,H 1 ,H 2} represents the analysis filter bank, {z 0 ,z 1 ,z 2} represents the subband signal of the filter bank, z 0 =H 0 x,z 1 =H 1 x,z 2 =H 2 x,{G 0 ,G 1 ,G 2} represents the reconstruction filter bank, T is the transfer function of the whole system, and the transfer function T is equal to a unit matrix. According to the frequency distribution of the graph, the passband flatness and stopband attenuation of the filter are constrained, and then the optimization problem is adopted The non-uniform analysis filter bank that can satisfy the frequency selection characteristics and sparse characteristics is obtained by me...

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Abstract

The invention discloses a distributed design method of a non-uniform graph filter bank, which is characterized by comprising the following steps of: 1) designing a non-uniform analysis filter bank; and 2) carrying out distributed reconstruction on the non-uniform graph filter bank. According to the distributed reconstruction method for the non-uniform graph filter bank, the non-uniform graph filter bank with the good frequency selection characteristic and the good sparse characteristic can be obtained, complete reconstruction of the filter bank can be achieved, and meanwhile the method has the high convergence speed and the low calculation cost.

Description

technical field [0001] The invention relates to the technical field of design graph signal processing, in particular to a distributed design method for non-uniform graph filter banks. Background technique [0002] In recent years, with the continuous development of science and technology and society, information and data have shown characteristics such as mass quantification, diversification, and irregularity. In the face of complex irregular signals, such as sensor network signals, traffic network signals, etc., it is difficult for traditional signal processing to analyze and process them. Even if they can, some structural characteristics of the network itself are often ignored. In order to better process irregular signals, researchers combined graph theory and other knowledge to propose graph signal processing GSP (Graph Signal Processing, referred to as GSP), GSP can combine the structural characteristics of the data itself to analyze the data. As an extension of traditi...

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Application Information

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IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 蒋俊正卢军志
Owner GUILIN UNIV OF ELECTRONIC TECH
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