Fixed-point protoype design for biorthogonal modulated filter banks

Ryan Casey, Tanja Karp

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider optimizing the prototype filter of biorthogonal cosine-modulated filter banks in order to reduce overflow occurrence in a fixed-point implementation. We assume that the wordlength of the fixed-point implementation is constant throughout the implementation. We implement the polyphase filters in a form which is inherent to perfect reconstruction. However, the frequency response is subject to fixed-point error, most dominantly overflow. We demonstrate that the the floating-point prototype filter with the lowest stopband energy does not result in the fixed-point implementation with the best performance. Based on this result, we show how the fixed-point performance can be improved by preventing amplification by large filter coefficients and by modifying the cost function of the optimization in such a way that all filters have a similar gain. Since the filter bank allows an integer-to-integer mapping with no increase in wordlength, it is well suited for lossless compression algorithms as well as a fast and inexpensive implementation on a hardware platform with fixed-point number format.

Original languageEnglish
Title of host publication2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
Pages39-43
Number of pages5
StatePublished - 2004
Event2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop - Taos Ski Valley, NM, United States
Duration: Aug 1 2004Aug 4 2004

Publication series

Name2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop

Conference

Conference2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
CountryUnited States
CityTaos Ski Valley, NM
Period08/1/0408/4/04

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  • Cite this

    Casey, R., & Karp, T. (2004). Fixed-point protoype design for biorthogonal modulated filter banks. In 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop (pp. 39-43). (2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop).