Convolution Example #1

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Given an LTI system impulse response h[n], convolve each of four finite-length sequences with h[n] to determine the output sequence y[n].

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Just came here to say that this saved my life on a DSP test! Thank you sir! I'm going to use this for convolutions by hand from now on.

williamwarke

My goodness how simple you've made convolutions...

tishwilliams

OMG!! I was so confused with the professors' conventional way of solving convolution but this made it look like piece of cake!! :D...
PS have an exam tomorrow at 8 EST so thanks a lot bro!!

MrZiaurrahman

superb. if you want to learn how to do calculation by convolution, this is best video.

sbmuthuraman

Challenge:
Spot the differences between his 'n' and 'h' :))
Great video, your explanations is very simple. Thanks a lot!

silviu

making signals and systems class doable, thanks!

mrnarason

Thanks a million. Really make it easy to understand

md.akibsunny

for d) the illustration not same with formula you derived. Should be the starting point to draw is -2 not -3?

harlizarazali

In case the zero position is not told how will you go in doing the convolution ?

milongitom

Great (Y) .. Thank you
I think the zero element at Ex (b) is not right

kareemtorkey

if the length of h[n] and x[n] is the same, how would you do it? please

sultanalhammadi

The graph on part B is wrong:

S(n-2) delays the signal by 2 seconds, so the {1, 2, 0-3} amplitude will be placed at {3, 4, 5, 6) seconds

S(n+1) advances the signal by 1 second, so the {1, 2, 0, -3} amplitude will be placed at {0, 1, 2, 3} seconds

The answer should be:
{1, 2, 0, -2, 2, 0, -3} amplitude
At
{0, 1, 2, 3, 4, 5, 6} seconds

a.j.o.manalansan

you started off wrong.. (the screenshot at 12:25) is what i'm talking about.. i'm 90% sure that n=0 is at 1 and not -10.. pls recheck EVERYTHING bcs i think you strated off wrong when you calculate x[0]*h[n]

morgansampi

sir my friend do not belive what i told her about the last question..can u explain the last question..why we do like that..she confius af right now with previous question

ashraffshaari

great work sr.

and n=0 should be at -10 only

rockygasidetoosip

Pleade show an example when x[n] = sin(pi*n/4)

TheKptur

Did anyone tried to use his convolution rule with two impulses delayed for each side?

Like, Delta(n-1) * Delta(n+1)? It should be zero delay (Delta(n)), but I couldnt figure it out....

1 (0)
(0) 1

(0) 0
1 0

(0) 1 0 ( Which is Delta(n-1) and not Delta(n))

pedrohenriquegoncalvesinaz

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