Signals and Systems detailed syllabus scheme for B.Tech Electronics & Telecommunication Engineering (ET), 2018-19 onwards has been taken from the DBATU official website and presented for the Bachelor of Technology students. For Subject Code, Course Title, Lecutres, Tutorials, Practice, Credits, and other information, do visit full semester subjects post given below.
For all other DBATU Syllabus for Electronics & Telecommunication Engineering 4th Sem 2018-19, do visit ET 4th Sem 2018-19 Onwards Scheme. The detailed syllabus scheme for signals and systems is as follows.
Signals and Systems Syllabus for Electronics & Telecommunication Engineering (ET) 2nd Year 4th Sem 2018-19 DBATU
Course Objectives:
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Course Outcomes:
On completion of the course, students will be able to:
- Understand mathematical description and representation of continuous and discrete time signals and systems.
- Develop input output relationship for linear shift invariant system and understand the convolution operator for continuous and discrete time system.
- Understand and resolve the signals in frequency domain using Fourier series and Fourier transforms.
- Understand the limitations of Fourier transform and need for Laplace transform and develop the ability to analyze the system in s- domain.
- Understand the basic concept of probability, random variables & random signals and develop the ability to find correlation, CDF, PDF and probability of a given event.
UNIT – 1 06 Hours
Introduction to Signals and Systems Introduction and Classification of signals: Definition of signal and systems, Continuous time and discrete time signal, Classification of signals as even, odd, periodic and non-periodic, deterministic and non-deterministic, energy and power, elementary signals used for testing: exponential, sine, impulse, step and its properties, ramp, rectangular, triangular, signum, sinc Operations on signals: Amplitude scaling, addition, multiplication, differentiation, integration (Accumulator for DT), time scaling, time shifting and time folding, Sampling Theorem and reconstruction of sampled signal, Concept of aliasing, examples on under sampled and over sampled signals. Systems: Definition, Classification: linear and non-linear, time variant and invariant, causal and non-causal, static and dynamic, stable and unstable, invertible.
UNIT – 2 06 Hours
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UNIT – 3 06 Hours
Fourier Series Fourier series (FS) representation of periodic Continuous Time (CT) signals, Dirichlet condition for existence of Fourier series, FS representation of CT signals using exponential Fourier series, Fourier spectrum representation, properties of Fourier series, Gibbs phenomenon, Discrete Time Fourier Series and its properties.
UNIT – 4 06 Hours
Fourier transform Fourier Transform (FT) representation of aperiodic CT signals, Dirichlet condition for existence of Fourier transform, evaluation of magnitude and phase response, FT of standard CT signals, FT of standard periodic CT signals, Introduction to Fourier Transform of DT signals, Properties of CTFT and DTFT, Fourier Transform of periodic signals. Concept of sampling and reconstruction in frequency domain, sampling of bandpass signals.
UNIT – 5 06 Hours
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UNIT – 6 06 Hours
Probability and Random Signals Probability: Experiment, sample space, event, probability, conditional probability and statistical independence, Bayes theorem, Random variables: Continuous and Discrete random variables, cumulative distributive function, Probability density function, properties of CDF and PDF. Definitions: Statistical averages, mean, moments and expectations, standard deviation and variance, Introduction to Correlation: Autocorrelation, Cross correlation, and their properties.
Text Books:
- Alan V. Oppenheim. Alan S. Willsky and S. Hamid Nawab, Signals and Systems, PHI
- Dr. S. L. Nalbalwar, A.M. Kulkarni and S.P. Sheth, Signals and Systems, 2nd Edition, Synergy Knowledgeware, 2017
- Simon Haykins and Barry Van Veen, Signals and Systems, 2nd Edition, Wiley India.
- Shaila Apte, Signals and Systems-principles and applications, Cambridge University press, 2016.
- Mrinal Mandal and Amir Asif, Continuous and Discrete Time Signals and Systems, Cambridge University Press, 2007.
- Peyton Peebles, Probability, Random Variable, Random Processes, 4th Edition, Tata McGraw Hill.
- A. Nagoor Kanni Signals and Systems, 2nd edition, McGraw Hill.
- NPTEL video lectures on Signals and Systems.
For detail syllabus of all other subjects of Electronics & Telecommunication Engineering (ET) 4th Sem 2018-19 regulation, visit ET 4th Sem Subjects syllabus for 2018-19 regulation.