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Convention Paper

Sound Analysis and Synthesis through Complex Bandpass Filter Banks

Authors: Beltran, Jose R.; Ponce de Leon, Jesus

AES Convention 118 · Paper 6361 · May 2005

Abstract

In this paper a new algorithm to compute an additive synthesis model of a signal is presented. An analysis based on the Complex Continuous Wavelet Transform has been used to extract the time-varying amplitudes and phases of every component of the additive model. The mathematical relationships between the CCWT, the Hilbert Transform and complex filter banks are presented in order to obtain useful filter bank design parameters. The mathematical analysis of five different signals is presented: a pure cosine, a sum of cosines, a signal with frequency variations and two finite duration signals with Gaussian and exponential envelopes. The obtained theoretical results are finally compared with those computed with the developed algorithm.

Details

Published in
AES Convention 118
AES Convention
118
Paper number
6361
Publication date
May 6, 2005
Session subject
Analysis and Synthesis of Sound
Affiliation
University of Zaragoza (See document for exact affiliation information.)
Type
Convention Paper