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Signals And Systems<br />
<strong>Tutorial</strong> – 3<br />
Network Graph<br />
Date: 30-Aug-04<br />
________________________________________________________________<br />
Q.1. Consider a Continuous-time signal x: Time Reals, given as follows:<br />
x(t) = 0 -< t
the response of the system to the input x2 and x3 shown in Figure (3)<br />
and Figure (4).<br />
Q.4. Consider the feedback system of Figure (5). Assume that y[n] = 0 for<br />
n
Q.5. Consider a system S with input samples x [n] and output samples<br />
y [n] related by<br />
y [n] = x [n] {g [n] + g [n-1]}.<br />
a) If g [n] =1 for all n, show that S is time invariant.<br />
b) If g [n] = n, show that S is not time invariant.<br />
c) If g [n] = 1 + (-1) n , show that S is time invariant.<br />
Q.6. The series interconnection of two non-linear systems is itself non<br />
linear. Is the statement TRUE or FALSE? Justify your answer.
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