Syllabus

Module 1:
Classification of signals signal operations: scaling, shifting and inversion signal properties: symmetry, periodicity and absolute integrability elementary signals.
classification of systems system properties: linearity, time/shift-invariance, causality, stability continuous-time linear time invariant (LTI) and discrete-time linear shift invariant (LSI) systems: impulse response and step response response to an arbitrary input. (3 Hrs)
Module 2:
Fourier series representation of continuous-time and discrete-time signals continuous-time Fourier transform and its properties Parseval's relation, time-bandwidth product discrete-time Fourier transform and its properties. Sampling: sampling theorem aliasing signal reconstruction: ideal interpolator, zero-order hold, first-order hold discrete Fourier transform and its properties. (12 Hrs)
Module 3:
Laplace transform and Z-transform: definition, region of convergence, properties transform-domain analysis of LTI/LSI systems, system function: poles and zeros stability. (5 Hrs)
Module 4:
Network theorems: superposition, Thevenin’s, Norton’s, reciprocity, maximum power transfer, Millman’s and compensation theorems. (2 Hrs)
Module 5:
Basic RL and RC Circuits, The RLC Circuit Sinusoidal Steady-State Analysis, Transient response, and initial conditions: Representation of networks by first and second order differential equations. General and particular solution. Time constants and integrating factors. Initial conditions and procedure to evaluate them. Second order equations with internal and external excitation. Response as related to s-plane location of roots. (12 Hrs)
Module 6:
Two port networks: characterization in terms of impedance, admittance, transmission, hybrid parameters and their relationships, interconnection of two port networks Symmetrical two port network: T and TT equivalents, image impedance, characteristic impedance, and propagation constant. (8 Hrs)

To build capability in students to analyze signals and systems properties using transform techniques.

To build capability in students to analyze networks and behavior of networks using steady state, transient analysis and two port network parameters.

To build capability in students to design networks and circuits for different applications.

To introduce network related concepts which can be directly related to industry and research applications.

CO1: To understand the basic concepts of signals and systems and network theory.
CO2: To understand the signals and systems properties using transform techniques.
CO3: To analyze and solve problems related to networks using time domain, s-domain and two port network parameters.

A. V. Oppenheim, A. S. Willsky and H.S. Nawab, Signals and Systems, Prentice Hall of India, 2006.

Franklin F. Kuo, Network Analysis and Synthesis, Wiley , Second edition

M. J. Roberts, Fundamentals of Signals and Systems, Tata McGraw Hill , 2007

M. E. Van Valkenburg, Network Analysis, Prentice Hall of India , 3rd edition, 2003