GATE EC Networks, Signals and Systems questions

Practise Networks, Signals and Systems questions for GATE EC. Explore official PYQs and original subject-wise quizzes, check answers and view available solutions. Free, no sign-in.

Identify whether the signal and system are continuous-time or discrete-time. Check linearity, time invariance and stability before selecting a transform or response method.

20 on this page

SubjectTopicYearType

f(t)

E

, the energy of the signal

f(2 t)

A bandlimited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through

\delta(t)

denote the delta function. The value of the integral

\int_{-\infty}^{\infty} \delta(t) \cos \left(\frac{3 t}{2}\right) d t

The region of convergence of the

z

-transform of a unit step function is

The admittance parameter

\mathrm{Y}_{12}

2

-port network in the figure,

If each branch of a Delta circuit has impedance

\sqrt{3} Z

, then each branch of the equivalent Wye circuit has impedance.

This question consists of TWENTY FIVE sub-questions

(1.1 - 1.25)

of ONE mark each. For each of these sub-questions, four possible answers (

\text{A, B, C}

\text{D}

) are given, out of which only one is correct. Answer each sub-question by darkening the appropriate bubble on the OBJECTIVE RESPONSE SHEET (ORS) using a soft HB pencil. Do not use …

The Nyquist sampling interval, for the signal

\text{Sin c } (700 t)+\text{Sin c } (500 t)

The impulse response functions of four linear systems

\mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}, \mathrm{~S}_{4}

are given respectively by

\begin{array}{ll} h_{1}(t)=1 & h_{2}(t)=U(t) \\ h_{3}(t)=\frac{U(t)}{t+1} & h_{4}(t)=e^{3 t} U(t) \end{array}

\mathrm{U}(t)

is the unit step function. Which of these systems is time …

Z

Z_{11}

Z_{21}

2

-port network in the figure,

In the figure, the value of the load resistor

R

which maximizes the power delivered to it is

This question consists of TWENTY FIVE subquestions

(2.1-2.25)

of TWO marks each. For each of these sub-questions, four possible answers (

\text{A, B, C}

\text{D}

) are given, out of which only one is correct. Answer each sub-question by darkening the appropriate bubble on the OBJECTIVE RESPONSE SHEET (ORS) using a soft HB pencil. Do not use …

The Fourier Transform of the signal

x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}

is of the following form, where

A

B

In the given circuit, the value of the voltage source

\mathrm{E}

In the given circuit, the voltage

\text{v(t)}

The Hilbert transform of

\cos \omega_{1} t+\sin \omega_{2} t

(0, T)

each of two periodic waveforms

W_{1}

W_{2}

are shown in figure. The magnitudes of the

n

th Fourier series coefficients of

W_{1}

W_{2}

n \geq 1, n

odd, are respectively proportional to

A linear time invariant system has an impulse response

e^{2 t}, t>0

. If the initial conditions are zero and the input is

e^{3 t}

, then output for

t>0

Use the data of the figure. The current

i

in the circuit of the figure is

A modulated signal is given by

s(t)=e^{-a t} \cos \left[\left(\omega_{c}+\Delta \omega\right) t\right] u(t),

a, \omega_{c}

\Delta \omega

are positive constants, and

\omega_{c} \gg \Delta \omega

. The complex envelope of

s(t)