Audio Decay Time

GUIDE: Mathematics of the Discrete Fourier Transform (DFT) - Julius O. Smith III. Audio Decay Time

It appears that you are using AdBlocking software. The cost of running this website is covered by advertisements. If you like it please feel free to a small amount of money to secure the future of this website.

NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition", by Julius O. Smith III, W3K Publishing, 2007, ISBN 978-0-9745607-4-8. - Copyright © 2017-09-28 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

<< Previous page  TOC  INDEX  Next page >>

Audio Decay Time ($t_{60}$)

In audio, a decay by $1/e$ is too small to be considered a practical ''decay time.'' In architectural acoustics (which includes the design of concert halls), a more commonly used measure of decay is ''$t_{60}$'', which is defined as the time to decay by $60$dB.5.5 That is, $t_{60}$ is obtained by solving the equation


Using the definition of the exponential $a(t) = A e^{-t/\, we find

Thus, $t_{60}$ is about seven time constants. See where $t_{60}$ is marked on Fig. 5.5 compared with $\.

<< Previous page  TOC  INDEX  Next page >>


© 1998-2023 – Nicola Asuni - - All rights reserved.
about - disclaimer - privacy