Multiplying a rectangular pulse with a triangualar pulse?

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silent7

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Hi there, I have the following system
x(t)-->| h(t) |---->y(t)

where X(w) = 0.5rect(w/8000*pi) and H(w) = triangle(w/2000*pi). With this I'm trying to find the output frequency Y(w) but I dont know how to multiply these two together?.
 

multiplying in time domain is equal to convolution in frequency domain or vice versa. why not try in matlab??
 

You can directly multiply X(w) with H(w) for each frequencies to get Y(w). Just simply multiply it sample by sample.

If you want to do the operation in time domain, you can convert X(w) and H(w) to time domain, do convolution between x(t) and h(t) to get y(t), and then convert back to frequency domain to get Y(w).
X(w) --[ifft]--> x(t) --> h(t) --> y(t) --[fft]--> Y(w)
H(w) --[ifft]---------------^
 

Do you want to multiply them in time domain or frequency domain?
If in time domain, ifft then do multiply sample by sample, the spectrum will look like a pyramid with a flat summit.
If in the frequency domain, multiply X(W) and Y(W).
Any other problem ?
 

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