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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Example <strong>2.</strong>19: First-Order Recursive System (Continued):Particular SolutionFind a particular solution for the first-order recursive system describedy n y n 1x nby the difference equation if the input is x[n] = (1/2) n .<strong>2.</strong>10 SolvingDifferential and Difference Equations1. Particular solution form :<strong>2.</strong> Substituting y (p) [n] and x[n] into the given difference Eq. :c p( 12)13. Particular solution :(<strong>2.</strong>45)Both sides <strong>of</strong> above eq. aremultiplied by (1/2) n<strong>Time</strong>-<strong>Domain</strong> <strong>Representations</strong> <strong>of</strong><strong>LTI</strong> <strong>Systems</strong>66
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