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

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...

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