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Show that for LTI discrete time system, the inverse z-transform of transfer function is the impulse response of the system
1 Answer
written 2.9 years ago by | • modified 2.9 years ago |
The discrete time LTI system has the output y(n) described as the convolution of input x(n) and impulse response h(n) assuming that there are no initial conditions.
Therefore, y(n)= x(n) * h(n) …..standard convolution.
The transfer function of a system producing such an output will be
Transfer function=H(z)=(Y(z))/(X(z)) ………………..(1)
This …