GATE Signals and Systems: Fourier series representation of continuous and discrete time periodic signals, Sampling theorem – Previous Year Questions
8 GATE previous year questions on Fourier series representation of continuous and discrete time periodic signals, Sampling theorem (Signals and Systems, Electrical Engineering) with answers and explanations, from every paper.
- GATE 2017 EE Q26 – Consider g(t) = cases t - t , & t 0 \\ t - t , & otherwise cases, where t R. Here, t represents the largest integer less than or equal to t and t…
- GATE 2017 EE Q41 – Let the signal x(t) = k=-+(-1)k(t - k2000) be passed through an LTI system with frequency response H(), as given in the figure below. [Figure: H() is…
- GATE 2015 EE Q38 – The signum function is given by sgn(x) = cases x x ; & x 0 \\ 0; & x = 0 cases The Fourier series expansion of sgn((t)) has
- GATE 2019 EE Q38 – A periodic function f(t), with a period of 2, is represented as its Fourier series, f(t)=a 0+ n=1a n nt+ n=1b n nt. If f(t)=casesA t,&0…
- GATE 2022 EE Q49 – The discrete time Fourier series representation of a signal x[n] with period N is written as x[n]= k=0N-1a kej(2kn/N). A discrete time periodic signal…
- GATE 2023 EE Q63 – A signal x(t)=2(180 t)(60 t) is sampled at 200 Hz and then passed through an ideal low pass filter having cut-off frequency of 100 Hz. The maximum…
- GATE 2025 EE Q30 – A continuous time periodic signal x(t) is x(t)=1+22 t+24 t+26 t. If T is the period of x(t), then 1T 0T x(t) 2dt= (round off to the nearest integer).
- GATE 2026 EE Q36 – A time-limited waveform g(x) is specified as follows: g(x)=cases-k,&-<x0\\+k,&0<x\\0,&otherwisecases A new waveform f(x) is constructed from g(x) as…