2.64. Consider a discrete-time system whose input x[n] and output y[n] are related by y[n] y[n-1] = x[n] with y[-1] = 0. Find the output y[n] for the following inputs: (a) x[n]=()u[n]; (b) x[n]=()u[n] Ans. (a) y[n] = 6[()*+' - (¹)" + ¹]u[n] (b) y[n] = (n+1X)"u[n]

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.15P
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2.64. Consider a discrete-time system whose input x[n] and output y[n] are related by
y[n] y[n-1] = x[n]
with y[-1] = 0. Find the output y[n] for the following inputs:
(a) x[n]=()u[n];
(b) x[n]=()u[n]
Ans. (a) y[n] = 6[()*+' - (¹)" + ¹]u[n]
(b) y[n] = (n+1X)"u[n]
Transcribed Image Text:2.64. Consider a discrete-time system whose input x[n] and output y[n] are related by y[n] y[n-1] = x[n] with y[-1] = 0. Find the output y[n] for the following inputs: (a) x[n]=()u[n]; (b) x[n]=()u[n] Ans. (a) y[n] = 6[()*+' - (¹)" + ¹]u[n] (b) y[n] = (n+1X)"u[n]
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