Analysis of GATE EC Previous Papers for Signal and System

# Analysis of GATE EC Previous Papers for Subject Signal and System

Aspiring engineers who are preparing for the Graduate Aptitude Test in Engineering (GATE) understand the significance of thorough preparation and comprehensive study resources.

Through a meticulous examination of previous yearsâ€™ question papers, we aim to provide you with valuable insights, key trends, and effective strategies to excel in Signal and System for your GATE exam.

## GATE EC Syllabus for the Subject Signal and System

Continuous-time Signals: Fourier series and Fourier transform, sampling theorem and applications.

Discrete-time Signals: DTFT, DFT, z-transform, discrete-time processing of continuous-time signals.

LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeroes, frequency response, group delay, phase delay.

## Analysis of Previous GATE Papers for Signal and System

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Overall Percentage of the Subject in GATE Paper

## Recent GATE Paper Questions of Signal and System

The following questions have been asked from Signal and System , in GATE-EC 2023

Q. Consider a system with input x(t) and output y(t) = x(et). The system is

a) Causal and time invariant.

b) Non-causal and time varying.l

c) Causal and time varymg.

d) Non-causal and time Invariant.

Q. Consider a discrete-time periodic signal with period N =5. Let the discrete-time Fourier series (DTFS) representation be

x[n]=\sum_{k=0}^{4}a_{k}e^{\frac{jk2n\pi }{5}} , where a0 = 1, a1 = 3j, a2 = 2j, a3 = -2j and a4 = -3j .

The value of the \sum_{k=0}^{4}x[n ]sin\frac{4\pi n}{5}=0 is

a) -10

b) 10

c) -2

d) 2

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