Temporal Envelope Fit of Transient Audio Signals
2013 (English)In: IEEE Signal Processing Letters, ISSN 1070-9908, E-ISSN 1558-2361, Vol. 20, no 12, 1191-1194 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
IEEE Signal Processing Society, 2013. Vol. 20, no 12, 1191-1194 p.
Gamma distribution function, Huber loss, onset estimation, temporal envelope fit, time-bandwidth product
IdentifiersURN: urn:nbn:se:kth:diva-131271DOI: 10.1109/LSP.2013.2284971ISI: 000326107900002ScopusID: 2-s2.0-84886690857OAI: oai:DiVA.org:kth-131271DiVA: diva2:655197
QC 201311142013-10-102013-10-102013-11-14Bibliographically approved