Frame Theory for Signal Processing in Psychoacoustics
It addresses the gap between mathematical theory and practical applications in psychoacoustics, but is incremental as it reviews and connects existing concepts without introducing new methods or results.
This review chapter aims to strengthen the link between frame theory and signal processing in psychoacoustics by explaining mathematical concepts for hearing scientists and psychoacoustic concepts for mathematicians, focusing on a filter bank approach for audio signal processing.
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.