Impulse Response

  • #1
9
0

Homework Statement


I have an impulse response h(n)=e^(0.1n)*[u(n)-u(n-8)] and an input x(n)={0,1,2,3,0}, how do I find the output y(k)?
[/B]


Homework Equations




The Attempt at a Solution


i don't even know how to solve. should i try convolution or should i substitute the values of x(n) in h(n). and idk why its y(k) instead of y(n) you don't need to put the exact solution. you just need to explain what i need to do. thanks :)[/B]
 

Answers and Replies

  • #2
2,013
289
For a discrete time LTI (Linear Time Inviariant) system, the output is completely determined by the output and the impulse response, wich is the response to an impulse funtion (often called delta function). d[n] with d[0] =1 and d[x] = 0 if x<>0.
if you know the response to d[n], you know the response to d[n-t], and any input signal is a linear combination of impulse functions with different time shifts.
The way to determine this is the convolution sum. See here for example:
http://www.eecg.toronto.edu/~ahouse/mirror/engi7824/course_notes_7824_part6.pdf
 
  • #3
9
0
For a discrete time LTI (Linear Time Inviariant) system, the output is completely determined by the output and the impulse response, wich is the response to an impulse funtion (often called delta function). d[n] with d[0] =1 and d[x] = 0 if x<>0.
if you know the response to d[n], you know the response to d[n-t], and any input signal is a linear combination of impulse functions with different time shifts.
The way to determine this is the convolution sum. See here for example:
http://www.eecg.toronto.edu/~ahouse/mirror/engi7824/course_notes_7824_part6.pdf

Thanks for your response!
So i just need to convolve x(n) and h(n)? and the answer is y(n)? how will it become y(k) tho?
 
  • #4
2,013
289
So i just need to convolve x(n) and h(n)? and the answer is y(n)? how will it become y(k) tho
Sorry, I have no idea why they use y[k] and not y[n].
 

Related Threads on Impulse Response

  • Last Post
Replies
3
Views
3K
Replies
1
Views
6K
Replies
1
Views
963
Replies
3
Views
809
Replies
1
Views
803
  • Last Post
Replies
3
Views
695
  • Last Post
Replies
0
Views
1K
Replies
0
Views
2K
Replies
1
Views
619
  • Last Post
Replies
15
Views
3K
Top