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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
written 5.3 years ago by gravatar for teamques10 teamques10 ★ 65k modified 2.0 years ago by gravatar for RahulkumarTivarekar RahulkumarTivarekar • 110
signals and systems
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written 2.0 years ago by gravatar for RahulkumarTivarekar RahulkumarTivarekar • 110 •   modified 2.0 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. enter image description here

The transfer function of a system producing such an output will be

Transfer function=H(z)=(Y(z))/(X(z)) ………………..(1)

This …

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