Unformatted text preview: be a periodic signal with period K=4. One period is given by;
1
= −1
=0
[ ] = −2
1
=1
0
=2 (iii) x[k]=u[k]
The response will be a causal signal (due to a unit step):
y[k]=h[k]+h[k1]+h[k2]+…. 2.21 The series and parallel configurations of systems S1 and S2 are shown in Fig.
P2.21. The two systems are specified by the following inputoutput relationships:
S1: y[k]=x[k]2x[k1]+x[k2]
S2: y[k]=x[k]+x[k1]2x[k2]
(i) Show that S1 and S2 are LTI systems EE 341 Fall 2012
(ii) Calculate the inputoutput relationship for the series configuration of systems S1
and S2 as shown in Fig. P2.21(a). (iii) Calculate the inputoutput relationship for the parallel configuration of systems S1
and S2 as shown in Fig. P2.21(b). (iv) Show that the series and parallel configurations of systems D1 and S2 are LTI
systems. (i)
Show that S1 and S2 are LTI systems
Use the property of linear, constant coefficient finite difference equation which represents
a LTI system
(ii) Calculate the inputoutput relationship for the series configuration o...
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 Fall '09
 Volt

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