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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1. Parallel Connection <strong>of</strong> <strong>LTI</strong> <strong>Systems</strong>(2) Output :<strong>2.</strong>6 Interconnection <strong>of</strong> <strong>LTI</strong> <strong>Systems</strong>(1) Two <strong>LTI</strong> systems : Fig. <strong>2.</strong>18(a).y( t) y ( t) y ( t)1 2x ( t) h ( t) x ( t) h ( t)1 2y( t) x( ) h ( t ) d x( ) h ( t )d1 21 2y( t) x( ) h ( t ) h ( t ) d x( ) h( t ) d x( t) h ( t)(3) Distributive property :x1 212( t)h( t)x( t)h( t)x( t){h ( t)h ( t)}(<strong>2.</strong>15)x1 212[ n]h[ n]x[ n]h[ n]x[ n]{h [ n]h [ n]}(<strong>2.</strong>16)<strong>Time</strong>-<strong>Domain</strong> <strong>Representations</strong> <strong>of</strong><strong>LTI</strong> <strong>Systems</strong>where h(t) = h 1 (t) + h 2 (t)Fig. <strong>2.</strong>18(b)34
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