2. Time-Domain Representations of LTI Systems
2. Time-Domain Representations of LTI Systems
2. Time-Domain Representations of LTI Systems
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<strong>2.</strong>9 Differential and DifferenceEquation <strong>Representations</strong> <strong>of</strong> <strong>LTI</strong> <strong>Systems</strong>Example <strong>2.</strong>15: Recursive Evaluation <strong>of</strong> a Difference EquationFind the first two output values y[0] and y[1] for the system describedby Eq. (<strong>2.</strong>38), assuming that the input is x[n] = (1/2) n u[n] and the initialconditions are y[1] = 1 and y[2] = <strong>2.</strong>1. Substitute the appropriate values into Eq. (<strong>2.</strong>39) to obtain<strong>2.</strong> Substitute for y[0] in Eq. (<strong>2.</strong>40) to find<strong>Time</strong>-<strong>Domain</strong> <strong>Representations</strong> <strong>of</strong><strong>LTI</strong> <strong>Systems</strong>56
Change language