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Question 1 i's) I am a little shaky as to the mathematical procedure for proving an LTI system is memoryless using its impulse response. The notes say <math> h(t) = k\delta(t), k \in</math> complex, but I am not sure how to use this...
 
Question 1 i's) I am a little shaky as to the mathematical procedure for proving an LTI system is memoryless using its impulse response. The notes say <math> h(t) = k\delta(t), k \in</math> complex, but I am not sure how to use this...
 +
:Just check if h(t) has the correct form. Say, for example if h(t)=<math>\delta(t+7)</math>, then it does not have the right form, so the system is not memoryless. -pm
  
 
Question 2 h)  No matter how I think about this signal, I think that it's always 1, and therefore not periodic, so it doesn't have fourier coefficients. What am I doing wrong?
 
Question 2 h)  No matter how I think about this signal, I think that it's always 1, and therefore not periodic, so it doesn't have fourier coefficients. What am I doing wrong?
 +
:Nothing! There was a typo in the question. It has been corrected now. -pm
  
 
Question 6) Should there be j's in parts c,d,e? Because if not, they're not periodic...
 
Question 6) Should there be j's in parts c,d,e? Because if not, they're not periodic...
 +
:You are absolutely right. This has been corrected. -pm
 
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Revision as of 15:17, 12 February 2011


Discussion for HW4, ECE301, Spring 2011, Prof. Boutin


Write your questions/comments here.

Question 1 i's) I am a little shaky as to the mathematical procedure for proving an LTI system is memoryless using its impulse response. The notes say $ h(t) = k\delta(t), k \in $ complex, but I am not sure how to use this...

Just check if h(t) has the correct form. Say, for example if h(t)=$ \delta(t+7) $, then it does not have the right form, so the system is not memoryless. -pm

Question 2 h) No matter how I think about this signal, I think that it's always 1, and therefore not periodic, so it doesn't have fourier coefficients. What am I doing wrong?

Nothing! There was a typo in the question. It has been corrected now. -pm

Question 6) Should there be j's in parts c,d,e? Because if not, they're not periodic...

You are absolutely right. This has been corrected. -pm

Back to HW4

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