558 Exponential Signal Descriptors Several of the time descriptors used in digital data communication systems are based
Question:
5–58 Exponential Signal Descriptors Several of the time descriptors used in digital data communication systems are based on exponential signals. In this problem, we explore three of these descriptors.
(a) The time constant of fall is defined as the time required for a pulse to fall from 70.7% to 26.0% of its maximum value. Assuming that the pulse decreases as e−t=TC , find the relationship between the time constant of fall and the time constant of the exponential decay.
(b) The rise time of a pulse is the time required for a pulse to rise from10%to 90%of its maximum value. Assuming that the pulse increases as 1−e−t=TC , find the relationship between rise time and the time constant of the exponential rise.
(c) The leading-edge pulse time is defined as the time at which a pulse rises to50%of its maximum value. Assuming the pulse increasesas1−e−t=TC , find the relationship between leading edge pulse time and the time constant of the exponential rise.
Step by Step Answer:
The Analysis And Design Of Linear Circuits
ISBN: 9781119235385
8th Edition
Authors: Roland E. Thomas, Albert J. Rosa, Gregory J. Toussaint