October 2008
Intermediate to advanced
984 pages
30h 43m
English
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Appendix D. Basic Definitions from Linear Systems Theory
D.1. Linear Time Invariant (LTI) Systems
A discrete linear time-invariant system is characterized uniquely by its impulse response sequence, b(n). This is the output of the system when its input is excited by the impulse sequence, δ(n), that is,(D.1)
When its input is excited by a sequence x(n), its output sequence is given by the convolution of x(n) with b(n), defined as(D.2)
For continuous time systems the convolution becomes an integral, that is,(D.3)where h(t) is the impulse response of ...
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