How to Study Signals and Systems?
Hi Guys,
In this post I will be discussing with you all, the strategy to prepare Signals and Systems. Signals and Systems is one of the most important topics in both EEE and ECE GATE exams as it always has a consistently good weightage (812 marks) and also because of simple and very less number of topics in Signals and Systems, this can easily be converted to one of the most scoring topics in GATE. The problems that are asked in Signals and Systems are mostly short but are conceptual so if you have a good command on the application of concepts then you can gain a good grip on this subject.
The best way to prepare for Signals and Systems is to filter out the necessary information and make very short notes which can include properties of Transforms and other formulas that help in Problem Solving.

Continuous and Discrete Time Signals
This topic is the starting point of Signals and Systems course and is very much needed before starting other topics in the course. This is a prerequisite for the rest of the course. You need to spend some time on this topic to gain a command over basics and these basic concepts will help you in other subjects as well. First of all, you have to study the basics such as the difference between analog, discrete time and digital signals. Then you will study about signals that most commonly appear such as Impulse Signal, Unit Step Signal, Ramp Signal, Parabolic Signal, Rectangular Function, Triangular Function, GIF, LIF, Fractional part function, Modulus Function, Signum Function, Trigonometric Functions, Exponential Functions and so on.
Then you have to study about the classification of signals into Periodic and Aperiodic Signal, Even and Odd Signal, Bounded and Unbounded Signal, Time Limited and Time Unlimited Signals, Energy and Power Signals, causal and Noncausal signals, Deterministic and Random Signals. Then you can study the graphical representation of continuous time and discrete time signals as well as the impact of operations such as Shifting, Scaling, and Reversal on the graph of a signal.

Linear TimeInvariant Systems

Fourier Series
Basically, there are two types of Fourier Series and Transforms as one exists for ContinuousTime Signals and other for DiscreteTime Signals and both are very similar but for EEE GATE course discrete time Fourier Series is not included and hence they only need to prepare only continuous time Fourier series.

 Analysis and Synthesis Equations
 Properties of Transforms
 Common Transform Pairs
The thing with the GATE exam is most of the questions are directly based on the properties of transforms and if you will calculate them completely, a lot of time will be wasted and if you apply some property, it may be done in a short time but to apply properties you need to remember some transform pairs so that you can represent a signal in terms of some known signal and apply a property, so try to prepare all the transforms in this fashion only.

Fourier Transform

Laplace Transform

ZTransform

Sampling

DFT and FFT (ECE Only)

Digital Filter Design (ECE Only)
If you feel the need of classes to understand the concepts then I would suggest that you try out our free demo plan of Kapsule which is a complete GATE online preparation portal, Here you would find demo content for Signals and Systems and Control Systems. Click on the link below to register for free: