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GATE 2019: Signals & Systems Rapid Quiz 3 (App update required to attempt this test)

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Question 1

What will be the value of the Fourier coefficient a7 in this case? The signal is given by,

And,

Question 2

What is the Z-transform and Roc of

Question 3

The laplace transform of a signal is

If then the value of in degrees is

Question 4

The input and impulse response is given by and . Then the output y[n] at n = 0 will be

Question 5

What will be the inverse z-transform of the given z-transform?

Where,
Given the power-series relation,

Where,

Question 6

Consider the following pulse x (t). What will be the Sum of energy and power of this pulse?
           
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Nov 30ESE & GATE EE