GATE EC 2016 Question Paper (30-Jan-2016) (Shift 1)

Which one of the following is an eigen function of the class of all continuous-time, linear, time invariant systems (u(t) denotes the unit-step function)?

A continuous-time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period Tₛ. In which one of the following cases is the sampled signal periodic?

Consider the sequence $\mathrm{x}[\mathrm{n}]={\mathrm{a}}^{\mathrm{n}}\mathrm{u}[\mathrm{n}]+{\mathrm{b}}^{\mathrm{n}}\mathrm{u}[\mathrm{n}]$, where $\mathrm{u}[\mathrm{n}]$ denotes the unit-step sequence and $0<|a|<|b|<1$. The region of convergence (ROC) of the z-transform of $\mathrm{u}[\mathrm{n}]$ is

Consider a two-port network with the transmission matrix: = ≤ft( {*20c &\\ &} ). If the network is reciprocal, then

A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The resulting signal is passed through an ideal analog low-pass filter with a cutoff frequency of 23 Hz. The fundamental frequency (in Hz) of the output is _________