Implications of causality, time-translation invariance, linearity, and minimum-phase behavior for basilar-membrane response functions

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Abstract
Several implications of the assumptions of causality (C), time-translation invariance (TTI), linearity (L), and minimum phase behavior (MPB) for basilar membrane (BM) frequency-response functions are derived. They are then used to: (1) test the consistency of calculated results for a two-dimensional cochlear model [S. T. Neely, J. Acoust. Soc. Am. 69, 1386–1393 (1981)] and (2) check experimental data on the BM displacement/malleus displacement [W. S. Rhode, J. Acoust. Soc. Am. 67, 1696–1703 (1980)] for approximate consistency with these assumptions. Both the theoretical model results and experimental cochlear-partition response data are in fairly good accord with these assumptions.

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