help me solve this problem
this is a question from franklin f. kuo's book (network analysis and synthesis)
1.8) suppose the response of a linear system to an excitation e(t) were r(t) = 3exp(-4t). what would the response be to an excitation of e(t-2) ?
please help me do this sum. thank you. 😔
1.8) suppose the response of a linear system to an excitation e(t) were r(t) = 3exp(-4t). what would the response be to an excitation of e(t-2) ?
please help me do this sum. thank you. 😔
Replies
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abhirvif its an LTI system then even the output will be shifted by the same amount as input....so o/p willbe r(t-2)..!! -
Bishshoy Das
yes but you have assumed time invariance, which is not mentioned in the problem ! linear systems need not be time invariant !abhirvif its an LTI system then even the output will be shifted by the same amount as input....so o/p willbe r(t-2)..!!
also if i suppose the response is r(t-2) then the waveform changes. the waveform r(t) and r(t-2) are not same.
3exp(-4*(t-2)) = r(t)*exp(8) !
anybody else wanna help me.
please post a mathematical solution than a logical analysis. -
Bishshoy Dasanybody wanna give the sum a try
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