Gate 2023 Signals And Systems Topics|Gate Electrical 2023 Topics

Gate 2023 Signals and Systems Topics: In this post, important topics in Signals and Systems for GATE 2023 Exam is given.

Contents

Gate 2023 Signals and Systems Topics

Signals and Systems topics are given below for GATE Electrical 2023.

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Continuous and Discrete Time Signals

We need to study here the impact of shifting and scaling operations on the waveform of the signals, Refer in in Oppenheim book.
classifications of signals based on different criteria like:

a) Periodic and Aperiodic Signal

b) Even and Odd Signal

c) Power and Energy Signals

Linear Time Invariant Systems

This is the most important part in Signals and Systems .

impulse response -The impulse response is useful when there is a connection of more than one systems like in cascade configuration or parallel one but you need to remember the equivalent impulse response of thesystem.
convolution methodology

by the help of convolution we can compute output at some points only and verify with the options given and save time.

properties of Systems like

a) Causality,

b) Time-Invariance,

c) Stability,

d) Linearity

e) and we need to study the criterion to determine each of these properties for a system

Fourier Series

two types of Fourier Series and Transforms for Continuous Time Signals and other for Discrete Time Signals. for EEE GATE course discrete time Fourier Series is not included and hence they only need to prepare only continuous time fourier series.

Need to remember two things or rather three things which are:

Analysis and Synthesis Equations

Properties of Transforms
Common Transform Pairs

Fourier Transform

need to remember that Fourier Transform exists for Aperiodic Signals
Fourier Series for Periodic Signals
Fourier Transform approaches Fourier Series for periodic Signals.

Also, one more important thing is the fourier transform of rectangular and triangular functions and the converse also which can easily be computed using duality property.

Laplace Transform

Laplace Transforms only exist for Continuous Time
The concept of Region of Convergence (ROC) as the same transform may have different inverses based on different ROCs.
no Laplace Transform is complete without
the concept of Initial Value and Final Value Theorem
Before applying final value theorem, please verify the stability.

Z-Transform

Z-Transform is for the discrete time signals
some striking differences also like in case of Final Value Theorem
the concept of Stability and Causality
pole-zero plot is given and system properties need to be identified.

Sampling

important concept in Sampling is for the Nyquist Rate and Nyquist Frequency
practice drawing one or two waveforms where sampling frequency is less than Nyquist Frequency
Band-Pass Sampling Theorem as that may also be asked.

Which are the best books to prepare for the GATE electrical engineering?