December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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SIGNIFICANT POINTS
Transfer function of a delay element 
Transfer function 
ϕ(k) = Inverse z-transform of [zI − A]z
= z−1[zI − A]−1 = state transition matrix.
Zero Input Response (ZIR) The response which occurs even without input is known as zero input response and it is due to the initial condition.
ZIR = ϕ (k) x(0) = Ak x(0)
where ϕ(k) = Ak is termed as a state transition matrix.
Zero State Response The response which occurs when all initial conditions are zero is known as the zero state response.
Characteristic Polynomial ...
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