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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