Homework - 7

A. Find  the convolution between

1.  x[n] = {0, 1, 2} , h[n] = { 0, 0, 1, 1}

2.  x[n] = {1, 1, 1, 1, 1, 1, 1} , h[n] = {1, 1, 1, 1, 1, 1, 1, 1, }

B. The impulse response is the output of an LTI system when the impulse input or impulse function or impulse signal is applied over a system at n =0, ie. when an input is the impulse function or delta function , the output y[n] will be retained in the same way as that of the system reponse h[n].

C. Remember the following :

1. A LTI system is causal if and only if its impulse response is zero for negative values of n, otherwise it is called non-causal or anti-causal
2. A LTI system is said to be stable if its impulse response is absolutely summable (ie. the sum of all samples (ignoring the sign) between zero and infinity  result in a sum that lies between zero and infinity)

So, we can know a lot about a system from its impulse response !

Quizzes will be updated from today onwards..keep checking.

Good Day !