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>7 Relations Between <strong>LTI</strong>System Properties and the Impulse Response(3) Condition for impulse response <strong>of</strong> a stable discrete-time <strong>LTI</strong> system :k h[ k] .Continuous-time case :Condition for impulse response <strong>of</strong> a stable continuous-time <strong>LTI</strong>system : h( ) d.0Example <strong>2.</strong>12: Properties <strong>of</strong> the First-Order Recursive SystemThe first-order system is described by the difference equationy[ n] y[ n 1] x [ n]and has the impulse responsenh[ n] u[ n]Is this system causal, memoryless, and BIBO stable?<strong>Time</strong>-<strong>Domain</strong> <strong>Representations</strong> <strong>of</strong><strong>LTI</strong> <strong>Systems</strong>43
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