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Two-channel linear phase wavelet filter bank with two stages of multiphase substructures

A wavelet filter and linear phase technology, applied in the field of signal processing, can solve the problems of low computing efficiency and high power consumption, and achieve the effect of overcoming the lack of linear phase

Inactive Publication Date: 2017-02-15
SOUTHWEST UNIVERSITY FOR NATIONALITIES
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Benefits of technology

In this new design for an improved type of signal processing system called LPTW filters, there are two types - one uses multiple stages instead of just three or four. These improvements reduce the amount of time required during each stage's multiplication process while still maintaining their accuracy level at certain levels. Additionally, these designs allow for efficient implementation without affecting any specific characteristics such as filtering coefficients used.

Problems solved by technology

Technological Problem addressed in this patents relates to improving the performance of wavelets filter banks when performing certain types of calculations such as convolution operation. However, current methods either require multiple stages or involve complicated computations, leading to reduced computational efficiency and increased energy usage compared to more efficient single channel designs.

Method used

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  • Two-channel linear phase wavelet filter bank with two stages of multiphase substructures
  • Two-channel linear phase wavelet filter bank with two stages of multiphase substructures
  • Two-channel linear phase wavelet filter bank with two stages of multiphase substructures

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Experimental program
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Effect test

Embodiment 1

[0040] Sure

[0041] N 0 = 6,

[0042] N 1 =10, P=3, the filter H can be obtained with the existing design method 0 (z) and H 1 (z) is:

[0043]

[0044] Calculate the filter E by formula (5) 0 (z), E. 1 (z) and for:

[0045]

[0046] Equation (6) shows that E 0 (z) with The polynomial coefficients are the same, but in reverse order; E 1 (z) with The polynomial coefficients of are also the same, and the order of arrangement is also reversed. Calculate the filter T of the two-input two-output filter module by formula (6) and formula (3) 0 (z), L 1 (z), T 1 (z) and L 0 (z) is:

[0047] t 0 =[0,1 / 2,0]

[0048] l 0 =[-1 / 16,0,1 / 16]

[0049] t 1 =[1 / 128,0,31 / 64,0,1 / 128]

[0050] l 1 =[0,-1 / 16,0,1 / 16,0]

[0051] (7)

[0052] Equation (7) shows that in the two-input two-output filter module: filter T 0 (z) and T 1 (z) are evenly symmetrical; filter L 0 (z) and L 1 (z) are oddly symmetrical; L 0 (z)(z=1)=0 and L 1 (z)(z=1)=0; T 0 (z)T 1 (z)-...

Embodiment 2

[0055] OK N 0 =8,N 1 =12, P=3, the filter H can be obtained with the existing design method 0 (z) and H 1 (z) is:

[0056]

[0057] Calculate the filter E by formula (8) 0 (z), E. 1 (z) and for:

[0058]

[0059] Equation (9) shows that E 0 (z) with E. 1 (z) with The polynomial coefficients are the same, but in reverse order. Calculate the filter T of the two-input two-output filter module by formula (9) and formula (3) 0 (z), L 1 (z), T 1 (z) and L 0 (z) is:

[0060]

[0061] (10) formula shows that in the two-input two-output filter module: filter T 0 (z) and T 1 (z) are evenly symmetrical; filter L 0 (z) and L 1 (z) are oddly symmetrical; L 0 (z)(z=1)=0 and L 1 (z)(z=1)=0; T 0 (z)T 1 (z)-L 0 (z)L 1 (z)=z -4 / 4.

[0062] In this example, equation (8) shows that in a traditionally structured wavelet filter bank: filter H 0 (z) The convolution operation needs to complete 2 multiplication operations, 7 addition operations, and the filte...

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Abstract

The invention discloses a two-channel linear phase wavelet filter bank with two stages of multiphase substructures, which consists of an analysis filter bank, an extractor, a zero value interpolator and a synthesis filter bank. A multiphase structure of each of both the analysis filter bank and the synthesis filter bank consists of a two-input two-output filter module and a special two-input two-output module. According to the two-channel linear phase wavelet filter bank disclosed by the invention, all filters in the two-input two-output filter module have linear phases, and thus, for the wavelet filter bank disclosed by the invention, an operational speed is the same with that of a multiphase structure wavelet filter bank, but convolution multiplication times are reduced by nearly 50%; and the defect that the multiphase filters of the wavelet filter bank generally do not have the linear phases is overcome. According to the wavelet filter bank disclosed by the invention, the operational speed is the same with that of the multiphase structure wavelet filter bank, but the convolution multiplication times are reduced by nearly 50%, and one order of vanishing moment is inherent in structure; and the two-channel linear phase wavelet filter bank overcomes the defect that the multiphase filters of the wavelet filter bank generally do not have the linear phases, and has wide application prospect.

Description

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Claims

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Application Information

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Owner SOUTHWEST UNIVERSITY FOR NATIONALITIES
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