AES E-Library

AES E-Library

A Catalog of Frequency and Transient Responses

Document Thumbnail

Impulse and step responses are presented and discussed for several different linear signal-processing systems each of which has prescribed frequency response characteristics. These transient responses can be qualitatively related to the deviations of magnitude and/or group delay responses from an ideally flat characteristic, that is, to frequency-domain measures of linear distortion. Examination and study of this pictorial catalog, which displays both time and frequency-domain properties jointly for 35 different cases, can provide practical and perhaps intuitive understanding of the interrelationships between these two domains without resort to mathematical transform techniques. Required basic definitions are given, and the significance of relevant quantities is discussed. Some toneburst responses are also included. For 14 cases exact mathematical expressions describing each response shape are given. Both minimum-phase and nonminimum-phase systems are considered. All of these results are tutorially interesting and many of them should be especially useful to those who perform or interpret practical measurements in either time or frequency domain.

JAES Volume 25 Issue 12 pp. 990-1007; December 1977
Publication Date:

Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!

This paper costs $33 for non-members and is free for AES members and E-Library subscribers.

Learn more about the AES E-Library

E-Library Location:

Start a discussion about this paper!

AES - Audio Engineering Society