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Estimating Nonlinear Impulse Response Length using Time-Delayed Mutual Information

Using impulse responses measured from various audio systems has become common in audio signal processing. However, determining the length of an impulse response captured from a nonlinear system becomes problematic, as these systems violate the linearity principle from signals and systems theory. A “lumpy” or “spiky” tail in the measured impulse response of a nonlinear system is a tell-tale symptom of this issue. In this in-progress work, we investigate the use of time-delayed mutual information (TDMI), a concept from the field of information theory, to identify the useful portion of a recovered nonlinear impulse response. Initial test systems include linear, time-invariant FIR and IIR filters, and IIR filters with a static nonlinear distortion added.

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AES - Audio Engineering Society