Friday 3 June 2016

Linear convolution

Graphical Linear convolution
i m writing in msg language. Its true muje convolution smjne me bhut problem ayi. And even didn't get it for 3 sem . 
lets start. Take two signals x(n) and h(n). We can vertically fold any of the two signals. Consider h(n).  But notice we have to fold by k not n 
therefore we take a dummy variable k. This i shown in the picture below. Now we can fold. Or take the mirror image of h(k). This also i had shown.
Now we multiply x(k) with h(-k) point to point multiplication.

now shift h(-k) by 1 rightwards. This would be h(1-k). Now again multiply h(1-k) by x(k). The result would be y(1). Similarly do with h(2-k) , h(3-k) and so on to give y(2), y(3).

so we obtain y(0), y(1),..………
and now y(n)={y(0), y(1),……………}

i m attaching a video becoz i didn't get folding and shifting easily.so that is my visualization

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