The Analytic Impulse and Energy-Time Curve: Ongoing Debate

25. The Analytic Impulse and the Energy-Time Curve: The Debate Continues

AES Convention: 93 Paper Number:3399
Publication Date: 1992-10-06

The analytic impulse is used as a complex-excitation signal to produce the energy-time curve (ETC) of a system. The ETC, usually displayed on a wide-dynamic-range log scale, is the envelope of the system`s impulse response and is loosely related to the energy decay in the system. Additional information is presented, using heuristic arguments and simulations, to show that: 1) The ETC is acausal in the same sense that the time response of a theoretical zero-phase filter is acausal; 2) a time-derivative-based complex-excitation signal (rather than Hilbert-transform-based signal) does not work to extract the envelope of a system`s impulse response; and 3) even though the ETC is a good general approximation of the energy decay in a system, it does not predict details of the decay such as exact timing and roll-off behavior. The intent here is not to present any radical new information in this debate, but to explain and clarify some of the concepts.

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Keele, Jr., D. B. (Don); 1992; The Analytic Impulse and the Energy-Time Curve: The Debate Continues [PDF]; Audio Magazine, Hachette Magazines, Inc., New York, NY; Paper 3399; Available from: https://aes2.org/publications/elibrary-page/?id=6735

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