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The impulse response of real-world physical systems decays faster at high frequencies than low frequencies. This is due to the approximately constant Q behavior of the resonators that often make up these systems. Considerable efficiency can be obtained in digitizing, storing, and manipulating impulse-response data that has been sampled at a rate that starts high initially, and then falls inversely with time. This paper explores the concept, and develops an efficient log-log time-frequency transform that converts back and forth directly between log-spaced time samples and log-spaced frequency samples. A very efficient FIR convolver/equalizer configuration with logarithmically spaced time taps is described.
Author (s): Keele, Jr., D. B. (Don)
Affiliation:
DBK Associates, Elkhart, IN ; Techron, Div. Crown International, Inc., Elkhart, IN ; Audio Magazine, Hachette Filipacchi Magazines, Inc., New York, NY
(See document for exact affiliation information.)
AES Convention: 97
Paper Number:3935
Publication Date:
1994-11-06
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Permalink: https://aes2.org/publications/elibrary-page/?id=6297
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Keele, Jr., D. B. (Don); 1994; Log Sampling in Time and Frequency: Preliminary Theory and Application [PDF]; DBK Associates, Elkhart, IN ; Techron, Div. Crown International, Inc., Elkhart, IN ; Audio Magazine, Hachette Filipacchi Magazines, Inc., New York, NY; Paper 3935; Available from: https://aes2.org/publications/elibrary-page/?id=6297
Keele, Jr., D. B. (Don); Log Sampling in Time and Frequency: Preliminary Theory and Application [PDF]; DBK Associates, Elkhart, IN ; Techron, Div. Crown International, Inc., Elkhart, IN ; Audio Magazine, Hachette Filipacchi Magazines, Inc., New York, NY; Paper 3935; 1994 Available: https://aes2.org/publications/elibrary-page/?id=6297