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.

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SubjectTopicYearType

The parallel RLC circuit shown in the figure is in resonance. In this circuit

The Fourier transform of a voltage signal

x(t)

X(f)

. The unit of

|X(f)|

Flat top sampling of low pass signals

The Fourier transform of a function

x(t)

\mathrm{X}(f)

. The Fourier transform of

\frac{d \mathrm{X}(f)}{d f}

will be

The

\text{ACF}

of a rectangular pulse of duration

\mathrm{T}

The amplitude spectrum of a Gaussian pulse is

The current

I

through resistance

\mathrm{r}

in the circuit shown in the figure is

The voltage

V

in the figure is

A deterministic signal has the power spectrum given in the figure is, The minimum sampling rate needed to completely represent this signal is

The function

f(t)

has the Fourier Transform

g(\omega)

. The Fourier Transform

f f(t) g(t)\left(=\int_{-\infty}^{\infty} g(t) e^{-j \omega t} d t\right)

The current

i_4

in the circuit of the figure is equal to

In the circuit of the figure is the equivalent impedance seen across terminals

\text{a, b}

In the circuit of the figure is the energy absorbed by the

4 \; \Omega

resistor in the time interval

(0, \infty)

A rectangular pulse of duration

T

is applied to a filter matched to this input. The output of the filter is a

The Fourier transform of a real-valued time signal has

The trigonometric Fourier series of an even function of time does not have the

The number of independent loops for a network with

n

nodes and

b

branches is

In the given figure,

A_{1}, A_{2}

and

A_{3}

are ideal ammeters. If

\mathrm{A}_{2}

and

\mathrm{A}_{3}

read

3 \mathrm{~A}

and

4 \mathrm{~A}

respectvely, then

A_{1}

should read

The autocorrelation function of an energy signal has

The voltages

\mathrm{V}_{\mathrm{C} 1}, \mathrm{~V}_{\mathrm{C} 2}

, and

\mathrm{V}_{\mathrm{C} 3}

across the capacitors in the circuit in the given figure, under steady state, are respectively.