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GATE 2025 Signals & Systems Evaluation Quiz 6

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Question 1

A system described by the following differential equation is

Question 2

Consider the function x(t) = u

The graph of x(t) is

Question 3

A system has the following output relationship

the impulse response of the system is

δ(t) - e–at u(t) such that the value of a is __________.

Question 4

Let x(t) be a signal whose Fourier transform is shown in figure


Then the magnitude spectrum of y(t) = t x(t)

Question 5

The transfer function of an FIR filter is given by

An analog signal is applied to this filter after sampling at a rate of 18 kHz. Which one of the following analog frequencies is not allowed by the filter?

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Jan 15ESE & GATE EC