Multirate Systems and Applications
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Editorial Multirate Systems and Applications Yuan-Pei Lin,1 See-May Phoong,2 Ivan Selesnick,3 Soontorn Oraintara,4 and Gerald Schuller5 1 Department
of Electrical and Control Engineering, National Chiao-Tung University, Hsinchu 300, Taiwan of Electrical Engineering and Graduate Institute of Communication Engineering, National Taiwan University, Taipei 10617, Taiwan 3 Department of Electrical and Computer Engineering, Polytechnic University, Brooklyn, NY 11201, USA 4 Department of Electrical Engineering, The University of Texas at Arlington, Arlington, TX 76010, USA 5 Audio Coding for Special Applications Research Group, Fraunhofer Institute for Digital Media Technology (IDMT), Langewiesener Strasse 22, 98693 Ilmenau, Germany 2 Department
Received 24 January 2007; Accepted 24 January 2007 Copyright © 2007 Yuan-Pei Lin et al. 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.
Filterbanks for the application of subband coding of speech were introduced in the 1970s. Since then, filterbanks and multirate systems have been studied extensively. There has been great success in applying multirate systems to many applications. Most notable of these applications include subband coding, signal analysis, and representation using wavelets, subband denoising, and so forth. Different applications also call for different filterbank designs and the topic of designing one-dimensional and multidimensional filterbanks for specific applications has been of great interest. Recently there has also been a lot of interest in applying multirate theories to the area of communication systems such as transmultiplexers, filterbank transceivers, and precoded systems. There are strikingly many dualities and similarities between multirate systems and multicarrier communication systems. Many problems in multicarrier transmission can be studied by extending results from multirate systems and filterbanks. This exciting research area is one that is of increasing importance. The aim of this special issue is to bring forward recent developments on filterbanks and the ever expanding area of applications of multirate systems. In this special issue, there are a total of 13 papers, which are roughly grouped into 3 categories. 1.
THEORY, DESIGN, AND IMPLEMENTATION OF FILTERBANKS
Yi Chen et al. developed two methods of designing quincunx filterbanks for image coding. Based on a lifting frame-
work, a parameterization of quincunx filterbanks is employed to maximize coding gain subject to constraints on vanishing moments and frequency selectivity. The proposed methods are shown to be highly effective for image coding. A frequency response masking approach to the design of cosine modulated M-channel filterbanks is developed by Linn´ea et al. Using frequency response masking, this method can obtain a sharper prototype and hence analysis and synthesis filters with narrower transition bands. Furthermor
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