GATE 2023 Signal & System Evaluation Quiz 6

A system described by the following differential equation is

Consider two signals x(t) and y(t) shown in figure and their Laplace transform pairs and

If , then Y(s) will be

Consider the function x(t) = u

The graph of x(t) is

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 __________.

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

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

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?