Efficient Log Sampling in Time and Frequency Systems

27. Log Sampling in Time and Frequency: Preliminary Theory and Application

AES Convention: 97 Paper Number:3935
Publication Date: 1994-11-06

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.

Click to Browse

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

Don’t worry about people stealing your ideas. If your ideas are any good, you’ll have to ram them down people’s throats.
Howard Aiken, IBM engineer

NOTICE!
Please note that these materials are presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author’s copyright. These works may not be reposted without the explicit permission of the copyright holder
Note that one has to respect the copyright and to ask permission to the copyright owner if one wants to print or use a paper.