Frame Theory for Signal Processing in Psychoacoustics

TL;DR

This chapter reviews how frame theory can be applied to psychoacoustic signal processing, especially through filter bank approaches, to bridge mathematical concepts with hearing research.

Contribution

It introduces frame theory to psychoacoustics, emphasizing filter bank methods, and encourages interdisciplinary collaboration between mathematicians and hearing scientists.

Findings

Frame theory provides a rigorous mathematical framework for signal analysis in psychoacoustics.

Filter bank approach is a key application of frame theory in audio processing.

The chapter fosters interdisciplinary understanding between mathematics and psychoacoustic research.

Abstract

This review chapter aims to strengthen the link between frame theory and signal processing tasks in psychoacoustics. On the one side, the basic concepts of frame theory are presented and some proofs are provided to explain those concepts in some detail. The goal is to reveal to hearing scientists how this mathematical theory could be relevant for their research. In particular, we focus on frame theory in a filter bank approach, which is probably the most relevant view-point for audio signal processing. On the other side, basic psychoacoustic concepts are presented to stimulate mathematicians to apply their knowledge in this field.