(New page: Category:ECE301Spring2011Boutin Category:problem solving = Practice Question on Computing the Output of an LTI system by Convolution= The unit impulse response h[n] of a DT LTI sys...) |
|||
(One intermediate revision by one other user not shown) | |||
Line 1: | Line 1: | ||
[[Category:ECE301Spring2011Boutin]] | [[Category:ECE301Spring2011Boutin]] | ||
[[Category:problem solving]] | [[Category:problem solving]] | ||
− | = Practice Question on Computing the Output of an LTI system by Convolution= | + | = [[:Category:Problem_solving|Practice Question]] on Computing the Output of an LTI system by Convolution= |
The unit impulse response h[n] of a DT LTI system is | The unit impulse response h[n] of a DT LTI system is | ||
Line 14: | Line 14: | ||
---- | ---- | ||
===Answer 1=== | ===Answer 1=== | ||
− | + | ||
+ | <math>y[n]=h[n]*x[n]=\sum_{k=-\infty}^\infty \frac{1}{5^k}\delta[n-3-k]]</math> | ||
+ | |||
+ | <math>y[n]=\frac{1}{5^{n-3}}</math> | ||
+ | |||
+ | --[[User:Cmcmican|Cmcmican]] 20:27, 31 January 2011 (UTC) | ||
+ | |||
===Answer 2=== | ===Answer 2=== | ||
Write it here. | Write it here. |
Latest revision as of 10:21, 11 November 2011
Contents
Practice Question on Computing the Output of an LTI system by Convolution
The unit impulse response h[n] of a DT LTI system is
$ h[n]= \frac{1}{5^n} . \ $
Use convolution to compute the system's response to the input
$ x[n]= \delta[n-3]. \ $
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
$ y[n]=h[n]*x[n]=\sum_{k=-\infty}^\infty \frac{1}{5^k}\delta[n-3-k]] $
$ y[n]=\frac{1}{5^{n-3}} $
--Cmcmican 20:27, 31 January 2011 (UTC)
Answer 2
Write it here.
Answer 3
Write it here.