Convolution in discrete time

Convolution in discrete time

Postby avishekaec1511 » Thu Jul 25, 2013 5:24 pm

A typical problem is faced when solving the convolution sum of LTI system in discrete case. While one may argue that a graphical solution is possible by plotting x[k] followed by h[-k+n] and flipping it along the n axis to calculate y[n] at various times,
the process may be time consuming especially for non-causal systems.

Then it becomes necessary to solve the sum below:-


∑_(k=-∞)^(k=∞)▒〖x[k]h[n-k]=y[n]〗

My question is that " Are there any general technique for calculation of various limits of the composite function y[n]"

i.e y[n] consists of a no. of functions valid for various intervals or time limits.
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