Time-varying cosine-modulated filter banks

Authors:
Guangyu Wang
Affiliations:
Laboratory of Mobile Communication Technology, Chongqing University of Posts and Telecommunications, 400065 Chongqing, China
Venue:
Digital Signal Processing
Year:
2005

Citing 5
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Abstract

In applications of the linear time-invariant (LTI) cosine-modulated filter banks, the idea to adapt analysis filter banks in order to match the signal statistical properties has existed for a long time. A typical example is found in audio coding, where audio signals are segmented as different block sizes using different analysis filter banks with the aim to eliminate the pre-echo phenomenon. Such a technique usually called window-switching. However, there was not any reasonable theoretical support for such techniques. In this work, we have generally studied time-varying cosine-modulated filter banks. The general PR conditions for an LTV cosine-modulated filter bank are given. Applying the theory in analyzing a special time-varying cosine-modulated filter bank, namely time-varying modulated lapped transforms (LTV MLTs), we have provided a solid theoretical support for the well-known window-switching techniques.