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Subject Revision:Signal & System Quiz

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Question 1

The impulse response of a system is given by z(z-2)-1+z(z-3)-1+z(z-0.5)-1.The inverse z transform of the system is

Question 2

Consider the following discrete system where x(n)={1,1,1} for n=0,1,2.

The same input is applied to another system shown below and the output obtained is the same. The impulse response of A and B will be

Question 3

If x [n] = (1/3)|n| - (1/2)n u[n], then the region of convergence (ROC) of its Z-transform in the Z-plane will be

Question 4

Find the output y(t) is expressed as y(t) = for the LTI system where h(t) is the impulse response and x(t) =ejωt is the input ?

Question 5

What is the differential equation that relates the output y(t) and the input x(t) if the continuous system consists of two integrators and two scalar multipliers?
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Jan 14ESE & GATE EC