Determining Local Transientness of Audio Signals

TL;DR

This paper introduces a novel method for quantifying the transient and tonal components of audio signals by leveraging sparse representations in wavelet and local cosine bases, with theoretical and numerical validation.

Contribution

It presents a new approach to estimate transientness and tonality using entropy-based measures and sparse expansions, advancing audio signal analysis techniques.

Findings

The method effectively estimates transient and tonal features.

Theoretical analysis supports the estimator's behavior.

Numerical simulations validate the approach.

Abstract

We describe a new method for estimating the degree of "transientness" and "tonality" of a class of compound signals involving simultaneously transient and harmonic features. The key assumption is that both transient and tonal layers admit sparse expansions, respectively in wavelet and local cosine bases. The estimation is performed using particular form of entropy (or theoretical dimension) functions. We provide theoretical estimates on the behavior of the proposed estimators, as well as numerical simulations. Audio signal coding provides a natural field of application.