Convolution of delta function

1. Dec 9, 2008

jackdaniel

Hi everyone, I need help finding the Fourier transform of Cos(10t)sin(t)

i know that i need to find the transform of cos and sin and then convolve them, but i m not sure how to convolve delta function. I would really appreciate any helps.

2. Dec 10, 2008

uart

No it's better to do it by simplifying the trig expression first using the "half sum difference" identities.

That is, cos(10t)sin(t) = 1/2 ( sin(11t) - sin(9t) )

3. Dec 10, 2008

jackdaniel

thanks, the way you described made it alot easier. By using your method I realized that convolving delta functions is simply adding the frequency shifts.

thanks