2. Time-Domain Representations of LTI Systems
2. Time-Domain Representations of LTI Systems
2. Time-Domain Representations of LTI Systems
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<strong>2.</strong>5 Convolution Integral Evaluation Procedure1. Convolution Integral : y ( t)x( t)h( t) x()h(t ) d(<strong>2.</strong>13) h( )x(t ) dh(t)x( t)Commutative Law<strong>2.</strong> Convolution Evaluation Procedure :1) Graph both x() and h() .2) Reflect h() about = 0 to obtain h() and then shift h() by tunit to obtain h(t ) .3) Multiply x() and h(t ) .4) Increase the shift t (i.e., move h(t ) toward the right) until themathematical form for x()h(t ) changes.5) Discuss the values <strong>of</strong> t to obtain y(t) .<strong>Time</strong>-<strong>Domain</strong> <strong>Representations</strong> <strong>of</strong><strong>LTI</strong> <strong>Systems</strong>25
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