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Fractional Delay

A nice property of ideal plane waves is that they do not decay, i.e., the amplitude of a given source is the same at every spatial sampling point (microphone or speaker). The only change from one spatial sample to the next is a relative delay corresponding to the different propagation distance. Thus, the only processing needed for each source for each speaker is the fractional delay (Franck, 2011,2008; Välimäki, 1995) corresponding to the source-speaker distance. Furthermore, in a line or plane array, the change in delay from one spatial-sample to the next is constant along any straight line, and this can be used to save overall computation (Franck, 2011).


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``A Spatial Sampling Approach to Wave Field Synthesis: PBAP and Huygens Arrays'', by Julius O. Smith III, Published 2019-11-18: http://arxiv.org/abs/1911.07575.
Copyright © 2020-05-15 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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