A Design Method for Designing Two-Channel Orthogonal Graph Filter Banks

A technology of filter bank and design method, which can be used in instrument, calculation, image enhancement, etc., can solve problems such as poor frequency characteristics, and achieve the effect of good frequency characteristics, high stopband attenuation, and small reconstruction error

Active Publication Date: 2020-06-19
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

[0004] What the present invention is to solve is the problem of poor frequency characteristics in the two-channel orthogonal graph filter bank designed by the existing method, and provides a design method for designing a two-channel orthogonal graph filter bank

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  • A Design Method for Designing Two-Channel Orthogonal Graph Filter Banks
  • A Design Method for Designing Two-Channel Orthogonal Graph Filter Banks
  • A Design Method for Designing Two-Channel Orthogonal Graph Filter Banks

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Embodiment Construction

[0028] A design method for designing a two-channel orthogonal graph filter bank, including the following steps:

[0029] Step 1: Design an initial filter of length L. Initialize filter coefficients (Set k=0), The design comes down to the objective function is the weighted sum of the filter’s passband distortion and stopband energy, and the constraint function is a 3dB bandwidth constraint optimization problem:

[0030]

[0031] Where x p Is h 0 (x) Passband cut-off frequency, x s Is the stopband cutoff frequency, and the parameter α is a weighting factor (α=10 can be selected in the experiment) 2 ,10 3 ). This problem is a convex optimization problem, which can be solved by software packages such as CVX or Sedumi, so Can be easily obtained.

[0032] Step 2: According to figure 1 The structure of the two-channel orthogonal graph filter bank is given, and its sampling factor is β H , Where H 0 ,H 1 Constitute the analysis filter bank, G 0 ,G 1 Form a comprehensive filter bank. In ...

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Abstract

The invention discloses a design method for designing a two-path orthogonal graph filter group, models a design problem of the two-path orthogonal graph filter group into a band constraint optimization problem, takes the reconstruction error of a filter as a target function and takes stopband attenuation as a constraint condition. Therefore, an iterative method is adopted to solve the problem. In single-step iteration, through a Taylor formula and functional approximation, a highly nonlinear non-convex target function is converted into a convex quadratic function, and a non-convex optimization problem is approximate to the subproblem of convex optimization. By use of the method, the two-path orthogonal graph filter group with better integral performance can be obtained.

Description

Technical field [0001] The invention relates to a graph filter bank in graph signal processing, in particular to a design method for designing a two-channel orthogonal graph filter bank. Background technique [0002] Regular signal processing requires a very simple structure, while graph signal processing allows complex irregular structures. Network big data is often defined in irregular geometric structures. Graphs are an effective modeling tool that can be used to characterize data on irregular networks, such as social networks, neuronal networks, computer science networks, molecular biology networks and other complex networks. The structure can be effectively expressed on the graph. In the past few years, the application of classic signal processing tools to the signal defined by the graph has aroused great interest. The data on the graph is defined as a scalar or a vector for each point, and the nodes of the graph indicate where the data is located. The coordinate position ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T5/00G06T5/10G06T5/20
CPCG06T5/002G06T5/10G06T5/20G06T2207/20024G06T2207/20056
Inventor 蒋俊正曹想欧阳缮孙希延周芳谢跃雷刘庆华刘松辽杨玉琳穆亚起
Owner GUILIN UNIV OF ELECTRONIC TECH
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