Question
Consider the system in Figure P 2.76, where the subsystems S 1 and S 2 are LTI. (a) Is the overall system enclosed by the
Consider the system in Figure P 2.76, where the subsystems S 1 and S 2 are LTI.
(a) Is the overall system enclosed by the dashed box, with input x[n] and output y[n] equal to the product of y 1 [n] and y 2 [n], guaranteed to be an LTI system? If so, explain your reasoning. If not, provide a counterexample.
(b) Suppose S 1 and S 2 , have frequency responses H 1 (e j? ) and H 2 (e j? ) that are known to be zero over certain regions. Let
Suppose also that the input x[n] is known to be band limited to 0.3?, i.e 
Over what region of -? ? ? j? ), the DTFT of y[n], guaranteed to be zero?
Step by Step Solution
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a Refer to Figure P276 in the text book The sub systems S 1 and S 2 are linear The relation between ...
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Discrete Time Signal Processing
Authors: Alan V. Oppenheim, Rolan W. Schafer
2nd Edition
0137549202, 978-0137549207
