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Signals and Systems

Sampling Theorem

Exams

GATE EE
GATE EC

Years

2022
2026

Subjects

Signals and Systems

Topics

Sampling Theorem
Applications of Fourier Transform for continuous and discrete time signals
Characteristic of Signals
Convolution of Signals
Discrete Time Fourier Transform (DTFT)
Fourier Series (Trigonometric Fourier Series of Periodic Waveforms)
Fourier Transform
Fourier series representation of continuous and discrete time periodic signals
LTI Systems Described by Linear Constant Coefficient Differential Equation
Laplace Transform and Z transform
Linear time invariant and causal systems
Properties of Region of Convergence
R.M.S. value
Representation of continuous and discrete time signals
Sampling Theorem and Nyquist Rate
Transfer Function From Block Diagram Representation
Zener Diodes

List of top Signals and Systems Questions on Sampling Theorem asked in GATE EE

Let \(x_c(t)\) be any continuous-time periodic signal with period \(T\). It is sampled uniformly with a sampling period \(T_s\) where \(T_s\neq T\), resulting in the discrete sequence
\[ x[n]=x_c(nT_s), \]
where \(n\) is an integer.

Which one of the following statements is correct about \(x[n]\)?

GATE EE - 2026
GATE EE
Signals and Systems
Sampling Theorem

If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________. (round off to nearest integer)

GATE EE - 2022
GATE EE
Signals and Systems
Sampling Theorem