Convolution of delta function

  • Thread starter jackdaniel
  • Start date
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.
 

uart

Science Advisor
2,776
9
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) )
 
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
 

Related Threads for: Convolution of delta function

  • Posted
Replies
1
Views
2K
Replies
2
Views
2K
  • Posted
Replies
5
Views
1K
Replies
3
Views
1K
Replies
3
Views
1K
Replies
1
Views
2K
Replies
3
Views
10K
Replies
3
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top