Frequency Response of an analog system?

  • #1
paulie walnut
9
0
An input of 2.δ(t) is applied to a system and produces the response

y(t)=6.e^-2t - 4.e^-3t

Find an expression for the systems frequency response. The method used would be great too. I know there's some Fourier transforms involved.
 

Answers and Replies

  • #2
profase
3
0
You know x(t) and y(t). It's also assumed that it's a linear system. Therefore,
y(t) = x(t) * h(t) (* = convolution)
Also, remember that convolution in one domain (eg time domain) is multiplication in the other domain (eg frequency domain). Therefore,
Y(jw) = X(jw) * H(jw) (* = multiplication)

So there are two ways you can attack this. You can either find h(t) (which is relatively straightforward) and then find the transform of that, or you can find the transforms of y(t) and x(t), and then solved for H(jw).

Hope that helps,
John
 

Suggested for: Frequency Response of an analog system?

Replies
15
Views
305
  • Last Post
Replies
21
Views
270
  • Last Post
Replies
9
Views
533
Replies
2
Views
1K
Replies
8
Views
607
  • Last Post
Replies
3
Views
414
  • Last Post
Replies
2
Views
470
  • Last Post
Replies
10
Views
1K
Replies
7
Views
912
  • Last Post
Replies
4
Views
318
Top