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>11 Characteristics <strong>of</strong> <strong>Systems</strong> Describedby Differential and Difference EquationsExample <strong>2.</strong>25: First-Order Recursive System : Natural ResponseThe system in Example <strong>2.</strong>21 is described by the difference equation1y n yn 1xn and the initial condition is y[1] = 8.4Find the natural response <strong>of</strong> this system.1. Homogeneous sol. :<strong>2.</strong> I.C.: y[1] = 83. Natural Response :<strong>Time</strong>-<strong>Domain</strong> <strong>Representations</strong> <strong>of</strong><strong>LTI</strong> <strong>Systems</strong>72