December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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4.12 RELATION BETWEEN STEP RESPONSE AND IMPULSE RESPONSE
Let input to the network shown in Fig. 4.12 be vi (t), let the output or response of the network be v0(t). The Laplace transform of vi (t) and v0 (t) be Vi (s) and V0(s) respectively. Vs
Fig. 4.12 Impulse response of a network
The ratio of Laplace transform of output to that of input putting initial conditions to zero is known as transfer function.
Taking its inverse Laplace transform, we have
If vi(t) be an impulse function, i.e. Vi(t) = δ (t), the Laplace transform of ...
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