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Design of digital allpass‐based two‐channel quincunx QMF banks
Author(s) -
Lee JuHong,
Shieh YiLin
Publication year - 2013
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.1807
Subject(s) - minimax , filter bank , mathematics , digital filter , all pass filter , channel (broadcasting) , filter (signal processing) , algorithm , control theory (sociology) , network synthesis filters , topology (electrical circuits) , low pass filter , computer science , electronic engineering , mathematical optimization , engineering , high pass filter , telecommunications , combinatorics , control (management) , artificial intelligence , computer vision
This paper presents a novel structure for constructing two‐channel quincunx quadrature mirror filter (QQMF) banks. The analysis and synthesis filters of the QQMF bank are composed of two‐dimensional (2‐D) recursive digital allpass filters with symmetric half‐plane support regions. Using the 2‐D doubly complementary half‐band property possessed by the analysis and synthesis filters, we facilitate the design of the digital allpass‐based two‐channel QQMF banks. For finding the coefficients of the 2‐D recursive symmetric half‐plane digital allpass filters, the design problem is appropriately formulated to result in an optimization problem that can be solved by using a weighted least‐squares algorithm in the minimax ( L ∞ ) optimal sense. The novelty of the proposed design method is that the designed 2‐D QQMF bank achieves perfect magnitude response and possesses satisfactory phase response without requiring extra phase equalizer. Simulation results are also provided for illustration and comparison. Copyright © 2012 John Wiley & Sons, Ltd.