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GATE 2019: Signals & Systems Rapid Quiz 1

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Question 1

A discrete time signal is given by If the complex Fourier series coefficients of the signal are represented as Ck Then the value of C15 is

Question 2

A linear phase channel with phase delay Tpd and group delay Tgd Must have.?

Question 3

A continuous-time speech signal xa(t) is sampled at a rate of 8 kHz and the samples are subsequently grouped in blocks, each of size N. The DFT of each block is to be computed in real time using the radix-2 decimation-in-frequency FFT algorithm. If the processor performs all operations sequentially, and takes 20μs for computing each complex multiplication (including multiplications by 1 and −1) and the time required for addition/subtraction is negligible, then the maximum value of N is _____

Question 4

Let x(t) be a time domain signal whose Fourier transform is represented as . Then the inverse transform of the signal is

Question 5

A low pass circuit, followed by an ideal differentiator is given by

If the input PSD is given by

The output signal power is given by________

Question 6

A continuous-time linear system S with input x(t) and output y(t) yield the following input-output pair


If , the corresponding output y(t) at is ______.

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Apr 30ESE & GATE EE