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By Prof.S. C Dutta Roy, Department of Electrical Engineering, IIT Delhi.
LINEAR SYSTEMS ANALYSIS SYLLABUS :
STATE VARIABLE ANALYSIS
Choice of state variables in Electrical networks-Formulation of state equations for Electrical networks-
Equivalent source method.Network topological method - Solution of state equations-Analysis of simple
networks with state variable approach.
FOURIER SERIES AND FOURIER TRANSFORM REPRESENTSATION
Introduction, Trigonometric form of Fourier series, Exponential form of Fourier series, Wave symmetry,
Fourier integrals and transforms, Fourier transform of a periodic function , Properties of Fourier Transform
, Parseval’s theorem , Fourier transform of some common signals, Fourier transform relationship with
APPLICATIONS OF FOURIER SERIES AND FOURIER TRANSFORM REPRESENTATION
Introduction, Effective value and average values of non sinusoidal periodic waves, currents, Power Factor,
Effects of harmonics, Application in Circuit Analysis, Circuit Analysis using Fourier Series.
UNIT – IV
LAPLACE TRANSFORM APPLICATIONS
Application of Laplace transform Methods of Ananlysis – Response of RL, RC, RLC Networks to Step,
Ramp, and impulse functions, Shifting Theorem – Convolution Integral – Applications
TESTING OF POLYNOMIALS
Elements of realisability-Hurwitz polynomials-positive real functions-Properties-Testing-Sturm’s Test,
Synthesis of one port LC networks-Foster and Cauer methods-Synthesis of RL and RC one port networks-
Foster and Cauer methods
Sampling theorm – Graphical and Analytical proof for Band Limited Signal impulse sampling, natural and
Flat top Sampling, Reconstruction of signal from its samples, effect of under sampling – Aliasing,
introduction to Band Pass sampling, Cross correlation and auto correlation of functions, properties of
correlation function, Energy density spectrum, Power density spectrum, Relation between auto correlation
function and Energy / Power spectral density function.
Fundamental difference between continous and discrete time signals, discrete time complex, exponential
and sinusoidal signals, periodicity of discrete time complex exponential, concept of Z-Transform of a
discrete sequence. Distinction between Laplace, Fourier and Z-Transforms. Region of convergence in ZTransforms,
constraints on ROC for various classes of signals, Inverse Z-Transform properties of ZTransforms.
1. Signals, Systems and Communications by B.P. Lathi, BS Publications 2003.
2. Network Analysis and Synthesis – Umesh Sinha- Satya Prakashan Publications
1. Linear System Analysis – A N Tripathi, New Age International
2. Network and Systems – D Roy Chowdhary, New Age International
3 Engineering Network Analysis and Filter Desgin- Gopal G Bhisk & Umesh
4. Linear system anlysis by A.Cheng, Oxford publishers.
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