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>8 Step Response1. The step response is defined as the output dueto a unit step input signal.<strong>2.</strong> Discrete-time <strong>LTI</strong> system:Let h[n] = impulse response and s[n] = step response.s[ n] h [ n]* u[ n] h[ k] u[ n k].k 3. Since u[nk] = 0 for k > n and u[nk] = 1for k ≤n, we havens[ n] h[ k].k The step response is the running sum <strong>of</strong> the impulseresponse.<strong>Time</strong>-<strong>Domain</strong> <strong>Representations</strong> <strong>of</strong><strong>LTI</strong> <strong>Systems</strong>49
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