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Perfect reconstruction filter banks with rational sampling rate changes (1991)
| Venue: | in Proc. IEEE Int. Con$ Acoust., Speech, Signal Processing |
| Citations: | 45 - 0 self |
BibTeX
@INPROCEEDINGS{Kovacevic91perfectreconstruction,
author = {Jelena Kovacevic and Martin Vetterli and Senior Member},
title = {Perfect reconstruction filter banks with rational sampling rate changes},
booktitle = {in Proc. IEEE Int. Con$ Acoust., Speech, Signal Processing},
year = {1991},
pages = {1785--1788}
}
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Abstract
Abstract-This paper solves an open problem, namely, how to construct perfect reconstruction filter banks with rational sampling factors. Such filter banks have N branches, each one having a sampling factor of p i / q i and their sum equals to one. In this way, the well-known theory of filter banks with uniform band splitting is extended to allow for nonuniform divisions of the spectrum. This can be very useful in the analysis of speech and music. The theory relies on two transforms, 1 and 2. While Transform 1, when applied, leads to uniform filter banks hav-ing polyphase components as individual filters, Transform 2 re-sults in a uniform filter bank containing shifted versions of same filters. This, in turn, introduces dependencies in design, and is left for future work. As an illustration, several design examples for the (2/3, 1/3) case are given. Filter banks are then classi-fied according to the possible ways in which they can be built. It is also shown that some cases cannot be solved even with ideal filters (with real coefficients). I.
Keyphrases
perfect reconstruction filter bank rate change filter bank future work shifted version open problem nonuniform division several design example sampling factor theory relies real coefficient abstract-this paper uniform band splitting ideal filter individual filter sum equal uniform filter bank possible way introduces dependency rational sampling factor filter bank hav-ing polyphase component well-known theory
