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

For the circuit shown in the figure, Thevenin's voltage and Thevenin's equivalent resistance atterminals

a-b

R_{1}=R_{2}=R_{4}=R

R_{3}=1.1 R

in the bridge circuit shown in the figure, then the reading in the ideal voltmeter connected between

a

b

h

parameters of the circuit shown in the figure are

A square pulse of

3

volts amplitude is applied to

C-R

circuit shown in the figure. The capacitor is initially uncharged. The output voltage

\mathrm{V}_{0}

t=2 \mathrm{sec}

y(t)

of a linear time invariant system is related to its input

x(t)

by the following equation:

y(t)=0.5 x\left(t-t_{d}+\mathrm{T}\right)+x\left(t-t_{d}\right)+0.5 x\left(t-t_{d}-\mathrm{T}\right)

. The filter transfer function

\mathrm{H}(\omega)

of such a system is given by

Match the following and choose the correct combination. …

x(n)=\sin \left(\omega_{0} n+\phi\right)

is the input to a linear time-invariant system having a frequency response

\text{H}(e^{j \omega})

. If the output of the system

A x\left(n-n_{0}\right)

, then the most general form of

\angle \mathrm{H}\left(\mathrm{e}^{j \omega}\right)

x(f)

the fourier transform is

X(f)

. Then the inverse Fourier transform of

X(3 f+2)

A signal as shown in the figure is applied to a matched filter. Which of the following does represent the output of this matched filter?

The equivalent inductance measured between the terminals

1

2

for the circuit shown in the figure is

The circuit shown in in the figure, with

R=\frac{1}{3} \Omega

\mathrm{L}=\frac{1}{4} \mathrm{H}, \mathrm{C}=3 \mathrm{~F}

has input voltage

v(t)=\sin 2 t

. The resulting current

i(t)

For the circuit shown in in the figure, the time constant

\text{RC}=1 \mathrm{~ms}

. The input voltage is

v_{i}(t)=\sqrt{2}

\sin 10^{3} t

. The output voltage

v_{0}(t)

The circuit in the given figure is a

The impulse response

h[n]

of a linear time-invariant system is given by

h[n]=u[n+3]+u[n-2]-2 u[n-7]

u[n]

is the unit step sequence. The above system is

z

-transform of a system is

H(z)=\frac{z}{z-0.2}.

|z|<0.2

, then the impulse response of the system is

The Fourier transform of a conjugate symmetric function is always

For the lattice circuit shown in the figure,

Z_{a}=j 2 \Omega

Z_{b}=2 \Omega

. The values of the open circuit impedance parameters

Z=\left[\begin{array}{ll}z_{11} & z_{12} \\ z_{21} & z_{22}\end{array}\right]

The circuit shown in the figure has initial current

i_{t}\left(0^{-}\right)=1 \mathrm{~A}

through the inductor and an initial voltage

v_{c}\left(0^{-}\right)=-1 \mathrm{~V}

across the capacitor. For input

v(t)=u(t)

, the Laplace transform of the current

i(t)

t \geq 0

For the circuit shown in the figure, the initial conditions are zero. Its transfer function

H(s) = \frac{V_{c}(s)}{V_{i}(s)}

Consider the following statements

\text{S1}

\text{S2}

\text{S1} :

At the resonant frequency the impedance of a series

\mathrm{R}-\mathrm{L}-\mathrm{C}

circuit is zero.

\text{S2} :

\mathrm{G}-\mathrm{L}-\mathrm{C}

circuit, increasing the conductance

\mathrm{G}

results in increase in its

\mathrm{Q}