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13.302 SIGNALS & SYSTEMS (AT)
L-T-P : 3-1-0
Credits: 4
Course Objective
To study the theory of signals and system. To study the interaction of signals with physical system. To
study the properties of Fourier transform, Laplace transform, signal transform through linear system,
relation between convolution and correlation of signals, sampling theorem and techniques, and
transform analysis of LTI systems.
Module I
Classification and Representation of Continuous time and Discrete time signals. Elementary signals,
Signal operations.Continuous Time and Discrete Time Systems - Classification, Properties.
Representation - Differential Equation representation of Continuous Time Systems.Difference Equation
Representation of Discrete Systems.
Continuous Time LTI systems and Convolution Integral,Discrete Time LTI systems and linear
convolution.Stability and causality of LTI systems.Correlation between signals, orthoganality of
signals.
Module II
Laplace Transform – ROC – Inverse transform – properties – unilateral Laplace Transform.
Frequency Domain Representation of Continuous Time Signals- Continuous Time Fourier Series and
its properties Convergence. Continuous Time Fourier Transform: Properties. Relation between
Fourier and Laplace Transforms. Analysis of LTI systems using Laplace and Fourier Transforms.
Concept of transfer function, Frequency response, Magnitude and phase response. Energy and power
spectral densities. Condition for distortionless transmission.
Module III
Sampling of continuous time signals, Sampling theorem for lowpass signals, aliasing. Sampling
techniques, Ideal sampling, natural sampling and Flat-top sampling. Reconstruction, Interpolation
formula. Sampling of bandpass signals.
Hilbert Transform , Continuous time Hilbert transform, properties, Pre-envelope of continuoous time
signals. Discrete time Hilbert transform.
Module IV
Z transform – ROC – Inverse transform – properties –unilateral Z transform.
Frequency Domain Representation of Discrete Time Signals- Discrete Time Fourier Series and its
properties, Discrete Time Fourier Transform (DTFT) and its properties. Relation between DTFT and
Z-Transform. Analysis of Discrete Time LTI systems using Z transforms and DTFT. Transfer function,
Magnitude and phase response.
References
1 Alan V. Oppenheim and Alan Willsky, Signals and Systems, PHI, 2/e, 2009.
2 Tarun Kumar Rawat, Signals and Systems , Oxford University Press, 2010.
3 Simon Haykin Signals & Systems, John Wiley, 2/e, 2003.
4 Rodger E. Ziemer Signals & Systems - Continuous and Discrete, Pearson, 4/e, 2013.
5 B P. Lathi, Priciples of Signal Processing & Linear systems, Oxford University Press, 2010.
6 Hwei P.Hsu, Signals and Systems, McGraw Hill, 3/e, 2013.
7 M.J.Roberts, Signals and Systems, TMH, 3/e, 2003.
8.Anand Kumar, Signals and Systems, PHI, 3/e, 2013.
9.Chaparro, Signals and system using Matlab, Elsevier, 2011.
Structure of the Question Paper
The question paper shall consist of two parts. Part A is to cover the entire syllabus and carries 20
marks. This shall contain 10 compulsory questions of 2 marks each. Part B is to cover 4 modules and
carries 80 marks. There shall be 2 questions from each module (20 marks each) out of which one is to
be answered.
(Question paper should contain minimum 60% and maximum 80% Problems and Analysis)
Course outcome
After completion of the course students will have a good knowledge in signals, system and applications.
13.303
NETWORK ANALYSIS (AT)
L-T-P: 3-1-0
Credits: 4
Course objectives To make the students capable of analyzing any given electrical network. To study the
transient response of series and parallel A.C. Circuits. To study the concept of coupled circuits and two
port networks. To make the students learn how to synthesize an electrical network from a given
impedance / admittance function.
Module I
Network Topology, Network graphs, Trees, Incidence matrix, Tie-set matrix,Cut-set matrix and Dual
networks.
Solution methods: Mesh and node analysis, Star-Delta transformation.
Network theorems: Thevenin’s theorem, Norton’s theorem, Superposition theorem, Reciprocity
theorem, Millman’s theorem, Maximum Power Transfer theorem.
Signal representation - Impulse, step, pulse and ramp function, waveform synthesis.
Module II
Laplace Transform in the Network Analysis: Initial and Final conditions, Transformed impedance and
circuits, Transform of signal waveform. Transient analysis of RL, RC, and RLC networks with impulse,
step and sinusoidal inputs. Analysis of networks with transformed impedances and dependent sources.
S-Domain analysis: The concept of complex frequency, Network functions for the one port and two
port - Poles and Zeros of network functions, Significance of Poles and Zeros, properties of driving point
and transfer functions, Time domain response from pole zero plot.
Module III
Parameters of two-port network: impedance, admittance, transmission and hybrid parameters,
Reciprocal and Symmetrical two ports. Characteristic impedance, Image Impedance and propagation
constant.
Resonance: Series resonance, bandwidth, Q factor and Selectivity, Parallel resonance. Coupled circuits:
single tuned and double tuned circuits, dot convention, coefficient of coupling, analysis of coupled
circuits.
Module IV
Network Synthesis: Introduction, Elements of Realisability Theory: Causality and Stability, Hurwitz
Polynomial, Positive Real Functions. Properties and Synthesis of R-L networks by the Foster and Cauer
methods, Properties and Synthesis of R-C networks by the Foster and Cauer methods.
References
1. Van Valkenburg, Network Analysis, PHI, 3/e, 2011
2. Sudhakar and Shyam Mohan, Circuits and Networks- Analysis and Synthesis,TMH,3/e,2006.
3. Roy Choudhary, Networks and Systems, New Age International, 2/e, 2013.
4. Franklin F. Kuo, Network Analysis and Synthesis, Wiley India, 2/e, 2012.
5. B.R.Gupta and Vandana Singhal, Fundamentals of Electrical Networks, S.Chand, 2009.
6. Umesh Sinha, Network Analysis & Synthesis, Satya Prakashan, 7/e, 2012.
7. Ghosh, Network Theory – Analysis & Synthesis, PHI, 2013.
8. Somanathan Nair, Network Analysis and Synthesis, Elsevier, 2012.
Structure of the Question Paper
The question paper shall consist of two parts. Part A is to cover the entire syllabus and carries 20
marks. This shall contain 10 compulsory questions of 2 marks each. Part B is to cover 4 modules and
carries 80 marks. There shall be 2 questions from each module (20 marks each) out of which one is to
be answered.(Question paper should contain minimum 60% and maximum 80% Problems and