Temporal Envelope Fit of Transient Audio Signals

Venkitaraman, Arun and Seelamantula, Chandra Sekhar (2013) Temporal Envelope Fit of Transient Audio Signals. In: IEEE SIGNAL PROCESSING LETTERS, 20 (12). pp. 1191-1194.

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Abstract

We address the problem of temporal envelope modeling for transient audio signals. We propose the Gamma distribution function (GDF) as a suitable candidate for modeling the envelope keeping in view some of its interesting properties such as asymmetry, causality, near-optimal time-bandwidth product, controllability of rise and decay, etc. The problem of finding the parameters of the GDF becomes a nonlinear regression problem. We overcome the hurdle by using a logarithmic envelope fit, which reduces the problem to one of linear regression. The logarithmic transformation also has the feature of dynamic range compression. Since temporal envelopes of audio signals are not uniformly distributed, in order to compute the amplitude, we investigate the importance of various loss functions for regression. Based on synthesized data experiments, wherein we have a ground truth, and real-world signals, we observe that the least-squares technique gives reasonably accurate amplitude estimates compared with other loss functions.

Item Type:	Journal Article
Publication:	IEEE SIGNAL PROCESSING LETTERS
Publisher:	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Additional Information:	Copyright for this article belongs to IEEE Xplore
Keywords:	Gamma distribution function; Huber loss; onset estimation; temporal envelope fit; time-bandwidth product
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	19 Nov 2013 06:36
Last Modified:	19 Nov 2013 06:36
URI:	http://eprints.iisc.ac.in/id/eprint/47775

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