Implementation of linear-phase FIR nearly perfect reconstruction cosine-modulated filterbanks utilizing the coefficient symmetry

Authors:
Robert Bregović;Ya Jun Yu;Ari Viholainen;Yong Ching Lim
Affiliations:
Department of Signal Processing, Tampere University of Technology, Tampere, Finland;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore;Department of Communications Engineering, Tampere University of Technology, Tampere, Finland;School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
Venue:
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Year:
2010

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Abstract

The analysis and synthesis parts of a cosine-modulated M-channel filterbank (FB) contain two sections, a modulation block and a prototype filter implemented in a polyphase structure. Although, in many cases, a linear-phase prototype filter is used, the coefficient symmetry of this filter is not utilized when using the existing polyphase structure. In this paper, a method is proposed for implementing a linear-phase prototype filter building a nearly perfect reconstruction cosine-modulated FB in such a way that it enables one to partially utilize the coefficient symmetry, thereby reducing the number of required multiplications in the implementation. The proposed method can be applied for implementing FBs with an arbitrary filter order and number of channels. Moreover, it is shown that, in all cases under consideration, the cosine-modulation part of the FB can be implemented by using a fast discrete cosine transform. The efficiency of the proposed implementation is evaluated by means of examples.