Engineering mathematics-III
Subject Code: ITMAT31
Credits :
4:0:0
Prerequesite : Nil
Unit I
Fourier
Series:
Periodic function, Dirichlet’s condition, Statement of Fourier theorem, Fourier coefficients, change of interval, Half range series, Fourier series and Half Range Fourier Series of Periodic Square wave, Half wave rectifier, Full wave rectifier, Saw-tooth wave with Graphical representation, Complex form of Fourier Series, Practical Harmonic analysis
Unit II
Fourier
Transform:
Infinite Fourier Transform, Fourier sine and cosine transforms, properties, Inverse transforms, Convolution theorem (statements only). Fourier transform of rectangular pulse with Graphical representation and its output discussion, Continuous Fourier Spectra-Example and physical interpretation.
Unit III
Z-Transform:
Definition, standard Z-Transforms, Single sided and double sided, Linearity property, Damping rule, Shifting property, Initial value theorem, Inverse Z-Transforms, Application of Z-Transforms to solve difference equations.
Unit IV
Complex Variables:
Analytic function, C-R Equation in Cartesian and Polar coordinates, statement of necessary condition, Properties of analytic functions. Complex integration, Cauchy’s fundamental theorem and formula. Taylor & Laurent’s series (statements only). Singularities, Poles, Residues, Residue theorem (statement only). Conformal transformation, Discussion of the transformations w= z2, w=ez, and w= z + 1/z (z ¹ 0), Bilinear transformation
Unit V
Partial differential equation and applications:
Formation of PDE by eliminating arbitrary constants and arbitrary functions, solution of Lagrange’s linear partial differential equation, Charpit’s method, method of separation of variables first and second order only, Derivation of One-dimensional Heat and wave equation, various possible solutions of these by the method of separation of variables, D’Alembert’s solution of wave equation, two dimensional Laplace equation, various possible solutions, solution of all these equations with specified boundary conditions(Boundary value problems).
Text
Books:
1. Erwin
Kreyszig-Advanced Engineering Mathematics-Wiley publication
8th Edition.
2. Glyn James-
Advanced Modern Engineering Mathematics-PearsonEducation-3rd
Edition.
3.
B.S.Grewal-Higher Engineering Mathematics-Khanna Publishers-37th
Edition
References:
- Lars V.Ahlfor-: Complex Analysis,McGraw Hill
Book Co
- Dennis G. Zill, Michael R. Cullen-Advanced
Engineering mathematics, Jones and Barlett Publishers
Inc.
Signal Processing
Subject Code:
IT301
Credits :
3:1:1
Prerequesite : Nil
Unit I
Introduction
Mathematical representation of signals , Mathematical
representation of systems.
Sinusoids
tuning fork experiment, review of sine and cosine functions, sinusoidal signals: - relation of frequency to period - phase shift and time shift, sampling and plotting of sinusoids, complex exponentials and phasors , phasor additions, physics of the tuning fork
Spectrum representation
The spectrum of a sum of sinusoids, Beat notes, periodic waveforms, Fourier series, Spectrum of the Fourier series, Fourier analysis of periodic signals, Time-Frequency spectrum, Frequency modulation: Chirp signals
Unit II
Sampling and aliasing
Sampling, Spectrum view of sampling and reconstruction, Strobe demonstration, Discrete to Continuous conversion,The sampling theorem
FIR filters
Discrete time systems, the running average filter, The general FIR filter, Linear Time Invariant (LTI) systems, Convolution and LTI systems, Example of FIR filtering
Unit III
Frequency response of FIR filters
sinusoidal response of FIR systems, superposition and the
frequency response, steady state and transient response, Properties of the
frequency response, Graphical representation of the frequency response, Cascaded
LTI systems,Running average filtering, Filtering sampled continuous time
signals
Z-transforms
Definition of the
z-transforms, The z-transform and linear systems, Properties of the z-transform,
Convolution and the z-transform, Relationship between the z-domain and the 
-domain, practical Bandpass filter design. Properties of
linear phase filters
Unit IV
IIR filters
The general IIR difference equation, Time-domain response, System function and poles and zeros of an IIR filter, Frequency response of an IIR filter, Three domains, The inverse z-transform and some applications, Steady state response and stability, Second order filters, Frequency response of second order IIR filters, Examples of an IIR low-pass filter
Continuous time signals and LTI systems
Continuous time signals, The unit impulse, Continuous time systems, Linear time invariant systems, impulse response of basic LTI systems, Convolution of impulses, Evaluating convolution integral, Properties of LTI systems, Using convolution to remove multi-path distortion
Unit V
Frequency response
The frequency response function for LTI system, response to real sinusoidal signals, Ideal filters and application of Ideal filters,Time domain or frequency domain
Continuous time Fourier transform
Definition of Fourier transform, Fourier transform and spectrum, Existence and convergence of the Fourier transform, Examples of Fourier transform pairs, The properties of Fourier transform pairs, The convolution property, Basic LTI systems, The multiplication property, using the Fourier transform for multi path analysis
Filtering, modulation
LTI systems, Sine wave amplitude modulation
Signal Processing
Lab
1. Introduction to MATLAB
2. Introduction to complex exponentials – Multi path
3. Introduction to complex exponentials – direction finding
4. AM and FM sinusoidal signals
5. Synthesis of sinusoids
6. FM synthesis for musical instruments
7. A/D and D/A spectral analysis
8. Sampling, convolution, and FIR filtering
9. Frequency response: Band-pass and nulling filters
10. Encoding and decoding Touch tone signals
11. Octave band filtering
12. PeZ – The z, n, and 
domains
13. Two convolution GUIs
14. Numerical evaluation of Fourier series
15. Design with Fourier series – power supply and distortion
Text book:
- Signal processing first- James H. McClellan, Ronald W. Schafer, Mark A. Yoder.
References:
- Signals and systems- Simon Haykin, Barry van veen.
- Signals and systems- M. J. Roberts.
- Signals and systems- Alan V. Oppenheim, Alan S. Willsky.
Linear Networks
Subject Code: IT302
Credits : 3:1:0
Prerequesite : Nil
Unit I
Linear
Networks
Linear Networks and
Signal to noise ratio, LC circuits for improving S/N
ratio
Passive Networks
VI characteristics of idealized elements of networks, Sources: Independent (Ideal & practical), Dependent sources, Basic Laws (including Source transformation), Loop Analysis & Nodal Analysis with linearly dependent & independent sources for DC & AC networks (Concept of Supermesh & Supernode), Star-Delta transformation, Duality in electrical networks,Applications to transistor circuits
Unit II
Network
Theorems
Superposition Theorem, Thevenin’s & Norton’s theorem, Maximum Power transfer theorem , Reciprocity & Millman’s theorem, Application: Resistance measurement
Unit III
Transient
behavior and initial conditions
Behaviour of circuit elements under
switching condition & their representation , Evaluation of initial and final
conditions in RL, RC and RLC circuits for DC & AC
Excitation
Resonant
Circuits
Series & Parallel resonance, Frequency response of Series & Parallel circuits, Applications: Radio Receiver, Touch tone telephone
Unit IV
One port
Networks
Review of
Unit V
Two Port
Networks
Definition of Z, Y, h & T parameters, Modelling with these parameters , Relationships b/n 2 port n/w parameters, Interconnection of 2 port n/ws, Applications: Transistor circuits 9
TEXT BOOKS:
1. “Fundamentals of Electric Circuits” 3rd
Edition by Charles K. Alexander & Matthew
N.O. Sadiku, TMH
publishers.
References
- Artice M Davis: Linear Circuit Analysis,
1998, PWS Pub.
- Van Valkenberg M.E., B.K. Kinarawala:
Linear circuits, 1982, Prentice Hall of India
- “Analysis of Linear Systems”, David K.
Cheng, Narosa Publishing House, 11th reprint,
2002
- “Circuits”, Bruce Carlson, Thomson
Learning, 2000. Reprint 2002
- “Engineering Circuit Analysis”, Hayt,
Kemmerley and Durbin TMH 6th Edition, 2002
- M.E. Van Valkenburg, “Network analysis”,
PHI/Pearson Education, 3rd edition, Reprint 2002.
Basics of Digital systems
Subject Code: IT303 Credits :4:0:1
Prerequesite : Nil
Unit I
Introduction to different logic
families
Electrical characteristics of logic gates – logic levels and noise margins, fan-out, propagation delay, transition time, power consumption and power-delay product.
TTL inverter - circuit description and operation, TTL NAND -
circuit description and operation , Open collector TTL and tristate TTL , MOS NAND and NOR Circuits:
circuit
description and operation , CMOS inverter - circuit description and operation ,
CMOS NAND and NOR - circuit description and operation
Combination
Logic
Boolean Algebra : Standard representation of logic functions - SOP and POS forms; Simplification of switching functions - K-map, Logic Expressions, Minimization and realization using basic and universal gates.
Unit II
Introduction to Verilog - Introduction to HDL
Multiplexing and
Demultiplexing
Multiplexers- Realization of 2:1 4:1 and 8:1 using gates- ICs for Multiplexer-