Introduction: Signals: Classification of signals, Continuous – Discrete time; Even/Odd signals, Periodic/ Nonperiodic signals, Deterministic/Random signals, Energy/Power signals; Basic operations on signals: Basic (Continuous/Discrete) signals – unit step, unit impulse, sinusoidal and complex exponential signals etc. Systems (Continuous/Discrete): Representation, Classification – Linear/Nonlinear, Causal/Non-causal, Time invariant/Time variant, with/ without memory; BIBO stability, Feedback system. LTI system – Response of LTI system, Convolution, Properties (Continuous/Discrete); LTI systems – Differential/Difference equation representation and solution.
Fourier series: Fourier series – half range expansions –Parseval’s identity – Transform integrals –Fourier Integrals – theorem – Sine and cosine integrals. Fourier analysis of continuous time signals and systems: Fourier series for periodic signals; Fourier transform – Properties of continuous time FT. Sampling: Sampling theorem, Reconstruction of signal, Aliasing, Sampling of discrete time signals; Introduction to DFT and its properties.
Laplace transform analysis of systems – Inverse transforms, linearity, shifting, Transforms of derivatives and integrals – ROC – Frequency response of continuous time LTI systems. Z transforms – definition – ROC – inverse transforms – properties, frequency response of discrete time LTI systems. Inter-relationship between different representations and transforms.
Textbook / References
Textbook / Reference
- Simon Haykin, Barry Van Veen, “Signals and Systems”, Second Edition, John Wiley and Sons, 2005.
- Alan V. Oppenheim, Alan S. Willsky ,S, Hamid Nawab, “Signals and Systems”, Prentice Hall India Private Limited, 1997.
- Michael. J. Roberts, “Fundamentals of Signals and Systems”, First Edition, Tata McGraw Hill Publishing Company Limited, 2007.
- Rodger E. Ziemer, William. H. Tranter, D. Ronald Fannin, “Signals and Systems”, Fourth Edition, Pearson Education, 2004.
Evaluation Pattern 50:50 (Internal: External)
|Periodical 1 (P1)
|Periodical 2 (P2)
|*Continuous Assessment (CA)
|*CA – Can be Quizzes, Assignment, Projects, and Reports.