Recent applications of number-theoretic sequences in audio and acoustics

Xiang, N; Xie, B; Cox, TJ

Abstract

Manfred R. Schroeder made influential contributions to acoustics by applying number theory. He introduced number-theory sequences in room impulse response measurements, applied number-theoretical sequences to shape wall surfaces for diffuse sound reflections. Another area Manfred Schroeder made broad impact is invention of an artificial reverberator using all-pass transfer- function properties to create colorless reverberation using a simple algorithm. Vast research activities and engineering developments over past decades have extended Schroeder’s work involving artificial reverberators, artificial stereo and applications of maximum-length sequences. This chapter briefs a number of recent applications of maximum-length and quadratic-residue sequences, such as simultaneous dual/multiple sources measurements in acoustical tomography, in artificial pseudo-binaural reverberation, in decorrelation for spatial audio signals, and room acoustic diffuser design.

Citation

Xiang, N., Xie, B., & Cox, T. (2014). Recent applications of number-theoretic sequences in audio and acoustics. In Acoustics, Information, and Communication (93-111). Springer. https://doi.org/10.1007/978-3-319-05660-9_6

• Publication Date: Jan 1, 2014
• Deposit Date: Nov 8, 2016
• Publisher: Springer
• Pages: 93-111
• Book Title: Acoustics, Information, and Communication
• ISBN: 9783319056593
• DOI: https://doi.org/10.1007/978-3-319-05660-9_6
• Publisher URL: http://dx.doi.org/10.1007/978-3-319-05660-9_6