Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Noniterative Design of 2-Channel FIR Orthogonal Filters | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2007 Article ID 45816 7 pages doi 2007 45816 Research Article Noniterative Design of 2-Channel FIR Orthogonal Filters M. Elena Dominguez Jimenez TACA Research Group ETSI Industriales Universidad Politecnica de Madrid 28006 Madrid Spain Received 1 January 2006 Revised 12 June 2006 Accepted 26 August 2006 Recommended by Gerald Schuller This paper addresses the problem of obtaining an explicit expression of all real FIR paraunitary filters. In this work we present a general parameterization of 2-channel FIR orthogonal filters. Unlike other approaches which make use of a lattice structure we show that our technique designs any orthogonal filter directly with no need of iteration procedures. Moreover in order to design an L-tap 2-channel paraunitary filterbank it suffices to choose L 2 independent parameters and introduce them in a simple expression which provides the filter coefficients directly. Some examples illustrate how this new approach can be used for designing filters with certain desired properties. Further conditions can be eventually imposed on the parameters so as to design filters for specific applications. Copyright 2007 M. Elena Dominguez Jimenez. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION Filterbanks are widely used in all signal processing areas. In the 2-channel case the filterbank decomposes any signal into its lowpass and highpass components this is achieved by convolution with a lowpass filter h and a highpass filter g. When using finite impulse response FIR filters the implementation is even more direct. In particular for signal compression applications orthogonal subband transforms are desired hence paraunitary filterbanks are required. Thus some design techniques have .
