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The Use of Ohm's Acoustical Law in the Design of Nonlinear Audio Signal Processors and Analyzers

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Ohm's acoustical law that the ears are insensitive to phase is used to formulate the concept of an Ohm-covariant processor, i.e. one in which audibly indistinguishable inputs yield audibly indistinguishable outputs. A theory of harmonic and subharmonic Ohm-Covariant nonlinear systems is given based on covariance under the action of the phase-shift and time-translation group. A number of theorems about such systems, both nonhysteretic and hysteretic, are obtained which lead to practical design procedures for audio signal processors and analysers. The use of these results is illustrated by examples including speech clippers, pitch multiplieers, spectral analysers, bandwidth compression systems and frequency shifters.

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