Signals and Systems (B.Tech)

Continuous and discrete signals, LTI systems, Fourier, Laplace and Z-transforms and sampling.

6 MonthsDuration 5Chapters25Topics

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Syllabus · पाठ्यक्रम

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01Unit 1: Signals and Systems Basics 5 topics

Continuous and discrete-time signals
Periodic, even, odd, energy and power signals
Elementary signals: step, impulse, ramp, exponential
Operations on signals
System properties: linearity, time invariance, causality, stability, memory, invertibility

02Unit 2: LTI Systems 5 topics

Impulse response
Convolution integral and convolution sum
Properties of convolution
Causality and stability of LTI systems
Systems described by differential and difference equations

03Unit 3: Fourier Series and Fourier Transform 5 topics

Trigonometric and exponential Fourier series
Dirichlet conditions
Continuous-time Fourier transform and its properties
Parseval's theorem
Discrete-time Fourier transform

04Unit 4: Laplace Transform 5 topics

Laplace transform and region of convergence
Properties and inverse Laplace transform
Transfer function, poles and zeros
Analysis of LTI systems
Initial and final value theorems

05Unit 5: Z-Transform and Sampling 5 topics

Z-transform and region of convergence
Properties and inverse Z-transform
System function of discrete-time systems
Sampling theorem
Aliasing and reconstruction

About

You will be able to

Classify signals and test systems for linearity, time invariance, causality and stability
Find the response of LTI systems by convolution
Use Fourier series and Fourier transforms to analyse signals in the frequency domain
Use the Laplace transform to analyse continuous-time LTI systems
Use the Z-transform to analyse discrete-time systems
Apply the sampling theorem and explain aliasing

Who it is for

B.Tech Electronics & Communication Engineering students of Semester 3 under AKTU
Students preparing for AKTU examinations and GATE signals and systems

What you need

Engineering Mathematics I and II (calculus, complex numbers, differential equations)

Questions

Which syllabus is followed?

The current AKTU (Dr. A.P.J. Abdul Kalam Technical University, Lucknow) B.Tech syllabus of Signals and Systems (Electronics & Communication Engineering, Semester 3). If your university or college follows a different syllabus, the centre teaches from your own university syllabus.

How is the subject examined?

AKTU assesses it through sessional tests, assignments and attendance, and an end-semester university examination; the centre covers every unit with theory, derivations and numericals.

Are previous-year questions practised?

Yes. Unit-wise AKTU previous-year questions, short-answer questions and the test series are solved in class.