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Two-channel linear phase wavelet filter bank with two-level polyphase substructure

A technology of wavelet filter and phase substructure, which is applied in the field of signal processing and can solve problems such as block interference

Inactive Publication Date: 2012-07-04
SOUTHWEST UNIVERSITY FOR NATIONALITIES
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

As a result, block interference (checkerboarding) appears after the compressed image is restored in image processing

Method used

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  • Two-channel linear phase wavelet filter bank with two-level polyphase substructure
  • Two-channel linear phase wavelet filter bank with two-level polyphase substructure
  • Two-channel linear phase wavelet filter bank with two-level polyphase substructure

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0026] OK N 0 =6,N 1 =10, P=3, the filter H can be obtained with the existing design method 0 (z) and H 1 (z) for

[0027] h 0 = [-1 / 16, 1 / 16, 1 / 2, 1 / 2, 1 / 16, -1 / 16]

[0028] (5)

[0029] h 1 =[1 / 128, -1 / 128, -1 / 16, -1 / 16, 31 / 64, -31 / 64, 1 / 16, 1 / 16, 1 / 128, -1 / 128]

[0030] Calculate the filter E by formula (5) 0 (z), E. 1 (z) and for

[0031] e 0 = [-1 / 16, 1 / 2, 1 / 16]

[0032] e ~ 0 = [ 1 / 16,1 / 2 , - 1 / 16 ]

[0033] (6)

[0034] e 1 =[1 / 128, -1 / 16, 31 / 64, 1 / 16, 1 / 128]

[0035] e ~ 1 = [ 1 / 128,1 / 16,31 ...

Embodiment 2

[0045] 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) for

[0046] h 0 =[1 / 32, -1 / 32, 1 / 32, 15 / 32, 15 / 32, 1 / 32, -1 / 32, 1 / 32]

[0047] (8)

[0048] h 1 =[1, -1, -7, 23, 22, -134, 134, -22, -23, 7, 1, -1] / 256

[0049] Calculate the filter E by formula (8) 0 (z), E. 1 (z) and for

[0050] e 0 =[1 / 32, 1 / 32, 15 / 32, -1 / 32]

[0051] e ~ 0 = [ - 1 / 32,15 / 32,1 / 32,1 / 32 ]

[0052] (9)

[0053] e 1 =[1 / 256, -7 / 256, 11 / 128, 67 / 128, -23 / 256, 1 / 256]

[0054] e ~ 1 = [ 1 / 256 ...

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PUM

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Abstract

The invention discloses an even-length two-channel linear phase wavelet filter bank with a two-level multi-phase substructure. In an analysis filter bank of the even-length two-channel linear phase wavelet filter bank, a polyphase substructure consisting of filters T0(z<2>), L1(z<2>), T1(z<2>) and L0(z<2>) is concatenated on a right side, and the other polyphase substructure is a special polyphase substructure of which all T0(z<2>), L0(z<2>) and L1(z<2>) are 1 and T1(z<2>) is -1, and is concatenated on a left side. In a comprehensive filter bank of the even-length two-channel linear phase wavelet filter bank, a polyphase substructure consisting of filters T1(z<2>), -L1(z<2>), T0(z<2>) and -L0(z<2>) is concatenated on the left side, and a polyphase substructure the same as the special polyphase substructure of the analysis filter bank is concatenated on the right side. The operating rate of the even-length two-channel linear phase wavelet filter bank can be the same as that of a wavelet filter bank with a polyphase structure, the number of multiplication operation times is about halved, and the shortcoming that a polyphase filter generally does not have a linear phase is overcome.

Description

technical field [0001] The invention relates to the field of signal processing, in particular to an even-length two-channel linear phase wavelet filter bank with a two-stage polyphase substructure. Background technique [0002] Wavelet filter banks are ideal reconstruction filter banks that satisfy regularity, and are widely used in signal analysis and image coding systems. The traditional structure of a two-channel wavelet filter bank is as follows: figure 1 As shown, it consists of the analysis filter H of the analysis filter bank 0 (z) and H 1 (z), decimator, zero value interpolator, and synthesis filter F of the synthesis filter bank 0 (z) and F 1 (z) Composition. will analyze the filter H 0 (z) and H 1 (z) and the synthesis filter F 0 (z) and F 1 (z) Perform polyphase decomposition, and convert the traditional structure of the two-channel wavelet filter bank into a polyphase structure (polyphase structure) with a general method, see Document 1 (P.P.Vaidyanathan...

Claims

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Application Information

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IPC IPC(8): H03H17/00
Inventor 彭安金
Owner SOUTHWEST UNIVERSITY FOR NATIONALITIES
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