MA9217 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS-ME(AE) I Semester

MA9217 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS 

UNIT I FUZZY LOGIC 12
Classical logic – Multivalued logics – Fuzzy propositions – Fuzzy quantifiers.

UNIT II MATRIX THEORY 12
Some important matrix factorizations – The Cholesky decomposition – QR factorization
– Least squares method – Singular value decomposition - Toeplitz matrices and some
applications.

UNIT III ONE DIMENSIONAL RANDOM VARIABLES 12

Random variables - Probability function – moments – moment generating
functions and their properties – Binomial, Poisson, Geometric, Uniform,
Exponential, Gamma and Normal distributions – Function of a Random Variable.

UNIT IV DYNAMIC PROGRAMMING 12
Dynamic programming – Principle of optimality – Forward and backward recursion –
Applications of dynamic programming – Problem of dimensionality.
UNIT V QUEUEING MODELS 12
Poisson Process – Markovian queues – Single and Multi-server Models – Little’s formula
- Machine Interference Model – Steady State analysis – Self Service queue.


REFERENCES:
1. George J. Klir and Yuan, B., Fuzzy sets and fuzzy logic, Theory and applications,
Prentice Hall of India Pvt. Ltd., 1997.
2. Moon, T.K., Sterling, W.C., Mathematical methods and algorithms for signal
processing, Pearson Education, 2000.
3. Richard Johnson, Miller & Freund’s Probability and Statistics for Engineers,
7th Edition, Prentice – Hall of India, Private Ltd., New Delhi (2007).
4. Taha, H.A., Operations Research, An introduction, 7th edition, Pearson education
editions, Asia, New Delhi, 2002.
5. Donald Gross and Carl M. Harris, Fundamentals of Queuing theory, 2nd edition, John
Wiley and Sons, New York (1985).

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EC9315 WIRELESS COMMUNICATION NETWORKS - ME(ECE) I Semester

EC9315 WIRELESS COMMUNICATION NETWORKS 

UNIT - I WIRELESS MEDIUM (9)
Air Interface Design – Radio propagation mechanism – Pathloss modeling and Signal Coverage
– Effect of Multipath and Doppler – Channel Measurement and Modelling – Simulation of Radio
Channel.

UNIT – II WIRELESS MEDIUM ACCESS (9)
Fixed Assignment Access for Voice Networks – Random Access for Data Networks -Integration
of Voice and Data Traffic.

UNIT - III WIRELESS NETWORK OPERATION (9)
Wireless Network Topologies – Cellular Topology – Cell fundamentals – Signal to Interference
Ratio – Capacity Expansion – Mobility Management – Resources and Power Management –
Security in Wireless Networks.

UNIT - IV WIRELESS WAN (9)
GSM and TDMA Technology – Mobile Environment – Communication in the Infrastructure –
CDMA Technology – IS95 – IMT2000 – Mobile Data Networks – CDPD Networks – GPRS –
Mobile Application Protocol.

UNIT - V WIRELESS LANS AND HIPERLANS (9)
Introduction to wireless LANs – IEEE 802.11 – WPAN IEEE 802.15 –Mobile AdHoc
Networks(MANET)- Principle and operation - Wireless Home Networking – Concepts of
Bluetooth Technology – Wireless Geolocation.
TOTAL: 45 PERIODS

REFERENCES:
1. Kaveth Pahlavan, K.Prasanth Krishnamurthy, “Principles of Wireless Networks”, Pearson
Education Asia, 2002
2. Leon Garcia, Widjaja, “Communication Networks”, Tata McGraw Hill, New Delhi, 2000.
3. William Stallings, “Wireless Communications and Networks”, Second Edition Prentice Hall,
India 2007
4. Jon W Mark , Weihua Zhuang, ”Wireless communication and Networking”, Prentice Hall
India 2003

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EC9314 VLSI DESIGN TECHNIQUES - ME(ECE)I Semester

EC9314 VLSI DESIGN TECHNIQUES 

UNIT - I VLSI DESIGN PROCESS & MOS TRANSISTOR THEORY AND PROCESS
TECHNOLOGY (9)
VLSI Design Process – Architectural Design – Logical Design – Physical Design – Layout Styles
–Full custom, Semicustom approaches. NMOS and PMOS transistors, Threshold voltage- Body
effect- Design equations- Second order effects. MOS models and small signal AC
characteristics. Basic CMOS technology.

UNIT - II INVERTERS AND LOGIC GATES (9)
NMOS and CMOS Inverters, Stick diagram, Inverter ratio, DC and transient characteristics ,
switching times, Super buffers, Driving large capacitance loads, CMOS logic structures ,
Transmission gates, Static CMOS design, dynamic CMOS design.

UNIT - III CIRCUIT CHARACTERISATION & PERFORMANCE ESTIMATION (9)
Resistance estimation, Capacitance estimation, Inductance, switching characteristics, transistor
sizing, power dissipation and design margining. Charge sharing .Scaling.

UNIT - IV VLSI SYSTEM COMPONENTS CIRCUITS (9)
Multiplexers, Decoders, comparators, priority encoders, Shift registers. Arithmetic circuits –
Ripple carry adders, Carry look ahead adders, High-speed adders, Multipliers

UNIT - V VERILOG HARDWARE DESCRIPTION LANGUAGE (9)
Overview of digital design with Verilog HDL, hierarchical modelling concepts, modules and port
definitions, gate level modelling, data flow modelling, behavioral modelling, task & functions,
Test Bench.

TOTAL: 45 PERIODS

REFERENCES:
1. Jan M Rabaey, “ Digital Integrated Circuits” Prentice Hall of India, 2002.
2. Sung-Mo Kang and Yusuf Leblebici, “CMOS Digital Integrated Circuits- Analysis and
Design”,Tata McGraw Hill,2003.
3. Neil H.E. Weste and Kamran Eshraghian, Principles of CMOS VLSI Design, Pearson
Education ASIA, 2nd edition, 2000.
4. John P.Uyemura “Introduction to VLSI Circuits and Systems”, John Wiley & Sons, Inc.,
2002.
5. Samir Palnitkar, “Verilog HDL”, Pearson Education, 2nd Edition, 2004
6. Eugene D.Fabricius, Introduction to VLSI Design McGraw Hill International Editions, 1990
7. J.Bhasker, B.S.Publications, “A Verilog HDL Primer”, 2nd Edition, 2001
8. Pucknell, “Basic VLSI Design”, Prentice Hall of India Publication, 1995.
9. Wayne Wolf “Modern VLSI Design System on chip. Pearson Education.2002.

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EC9313 OPTICAL FIBER COMMUNICATION-ME(ECE) I Semester

EC9313 OPTICAL FIBER COMMUNICATION
UNIT - I OPTICAL FIBERS (9)
Geometrical description – wave propagation- Dispersion in single mode (SM) and multimode
(MM) fibers – Limitations due to dispersion – Fiber Losses – Non liner optical effects.

UNIT - II OPTICAL AMPLIFIERS (9)
Concepts- Semiconductor optical Amplifier – Raman and Brillouin amplifier – Fiber amplifiers –
Erbium doped amplifiers – System applications

UNIT - III DISPERSION MANAGEMENT (9)
Need- Precompensation schemes – Postcompensation techniques – Dispersion compensating
fibers – Optical filters – Fiber Bragg gratings - Optical Phase Conjugation – Long Haul lightwave
systems – High capacity systems.

UNIT - IV MULTICHANNEL SYSTEMS (9)
WDM lightwave systems- WDM components – System performance issues – Time Division
Multiplexing (TDM) - Sub carrier multiplexing – Code Division Multiplexing, DWDM.

UNIT - V COHERENT LIGHTWAVE SYSTEMS (9)
Concepts – Modulation formats – Demodulation formats – Bit Error Rate (BER) – Sensitivity
degradation – System performance.

TOTAL: 45 PERIODS

REFERENCES:
1. G.P. Agrawal, “Fiber optic communication systems”, 3nd Ed, John Wiley & Sons, New York,
2002.
2. H. Franz & V.K.Jain, “Optical Communication Systems”, Narosa Publications New Delhi,
1995.
3. G. Keiser, “Optical fiber communication systems”, McGraw-Hill, 3rd Edition, NewYork, 2000.
4. H. Franz & V.K. Jain, “Optical communication, Components and Systems, Narosa
Publications, New Delhi, 2002.
5. Selvarajan, S. Kar and T. Srinivas, Optical fiber Communication – Principle and Systems,
Tata McGraw-Hill, 2002.

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EC9312 ADVANCED RADIATION SYSTEMS-ME (ECE) I Semester

EC9312 ADVANCED RADIATION SYSTEMS 

UNIT I CONCEPTS OF RADIATION 9
Retarded vector potentials – Heuristic approach and Maxwell’s equation approach. Electric
vector potential F for a magnetic current source M. Duality theorem. The Lorentz gauge
condition. Vector potential in Phasor form. Fields radiated by an alternating current element and
half wave dipole. Totalpower radiated and radiation resistance of alternating current element
and half wave dipole. Power radiated in the far field. Linear, Elliptical and circular polarization.
Development of the Poincare sphere.

UNIT II ANTENNA ARRAYS 9
N element linear arrays – uniform amplitude and spacing- Phased arrays- Directivity of
Broadside and End fire arrays. Three dimensional characteristics - Pattern multiplication-
Binomial arrays and Dolph- Tchebycheff arrays. Circular array. Mutual coupling in arrays,
multidimensional arrays- phased arrays and array feeding techniques.

UNIT III ANTENNA SYNTHESIS 9
Synthesis problem-Line source based beam synthesis methods (Fourier transform and
Woodward- Lawson sampling method – Linear array shaped beam synthesis method – Low
side lobe, narrow main beam synthesis methods - discretization of continuous sources.
Schelkunoff polynomial method

UNIT IV APERTURE ANTENNAS 9
Radiation from apertures - Huygens Principle. Rectangular apertures- techniques for evaluating
gain, Circular apertures and their design considerations- Babinets principle Fraunhoffer and
Fresnel diffraction. Complimentary screens and slot antennas. Slot and dipoles as dual
antennas. Fourier transform in aperture antenna theory.

UNIT V HORN, MICROSTRIP, REFLECTOR ANTENNAS 9
E and H plane sectoral Horns. Pyramidal horns. Conical and corrugated Horns. Multimode
horns. Phase center. Microstrip antennas – feeding methods. Rectangular patch- Transmission
line model – Circular patch Parabolic Reflector antennas – Prime focus and cassegrain
reflectors. Equivalent focal length of Cassegrain antennas. Spillover and taper efficiencies.
Optimum illumination.

TOTAL:45 PERIODS

REFERENCES:
1. Balanis, C.A., “Antenna Theory” Wiley,2003
2. Warren L. Stutzman and Gary A. Thiele,“ Antenna theory and design”John Wiley and sons
1998
3. Jordan, E.C., “ Electromagnetic waves and Radiating systems”. PHI 2003
4. Krauss, J.D., “ Radio Astronomy” McGraw-Hill 1966, for the last unit (reprints available)
5. Krauss, J.D.,, Fleisch,D.A., “Electromagnetics” McGraw-Hill,1999

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EC9311 ADVANCED DIGITAL SIGNAL PROCESSING- ME(ECE) I Semester

EC9311 ADVANCED DIGITAL SIGNAL PROCESSING L T P C
3 0 0 3
[Review of discrete-time signals and systems- DFT and FFT, Z-Transform, Digital Filters is
recommended]
UNIT I DISCRETE RANDOM SIGNAL PROCESSING 9
Discrete Random Processes- Ensemble averages, stationary processes, Autocorrelation and
Auto covariance matrices. Parseval's Theorem, Wiener-Khintchine Relation- Power Spectral
Density-Periodogram Spectral Factorization, Filtering random processes. Low Pass Filtering of
White Noise. Parameter estimation: Bias and consistency.
UNIT II SPECTRUM ESTIMATION 9
Estimation of spectra from finite duration signals, Non-Parametric Methods-Correlation Method ,
Periodogram Estimator, Performance Analysis of Estimators -Unbiased, Consistent Estimators-
Modified periodogram, Bartlett and Welch methods, Blackman –Tukey method. Parametric
Methods - AR, MA, ARMA model based spectral estimation. Parameter Estimation -Yule-Walker
equations, solutions using Durbin’s algorithm
UNIT III LINEAR ESTIMATION AND PREDICTION 9
Linear prediction- Forward and backward predictions, Solutions of the Normal equations-
Levinson-Durbin algorithms. Least mean squared error criterion -Wiener filter for filtering and
prediction , FIR Wiener filter and Wiener IIR filters ,Discrete Kalman filter
UNIT IV ADAPTIVE FILTERS 9
FIR adaptive filters -adaptive filter based on steepest descent method-Widrow-Hoff LMS
adaptive algorithm, Normalized LMS. Adaptive channel equalization-Adaptive echo
cancellation-Adaptive noise cancellation- Adaptive recursive filters (IIR). RLS adaptive filters-
Exponentially weighted RLS-sliding window RLS.
UNIT V MULTIRATE DIGITAL SIGNAL PROCESSING 9
Mathematical description of change of sampling rate - Interpolation and Decimation ,
Decimation by an integer factor - Interpolation by an integer factor, Sampling rate conversion by
a rational factor, Filter implementation for sampling rate conversion- direct form FIR structures,
Polyphase filter structures, time-variant structures. Multistage implementation of multirate
system. Application to sub band coding - Wavelet transform and filter bank implementation of
wavelet expansion of signals.
TOTAL: 45 PERIODS
REFERENCES:
1. Monson H.Hayes, Statistical Digital Signal Processing and Modeling, John Wiley and Sons,
Inc., Singapore, 2002.
2. John G. Proakis, Dimitris G.Manolakis, Digital Signal Processing Pearson Education, 2002.
3. John G. Proakis et.al.’Algorithms for Statistical Signal Processing’, Pearson Education, 2002.
4. Dimitris G.Manolakis et.al.’ Statistical and adaptive signal Processing’, McGraw Hill,
Newyork, 2000.
5. Rafael C. Gonzalez, Richard E.Woods, ‘Digital Image Processing’, Pearson Education, Inc.,
Second Edition, 2004.( For Wavelet Transform Topic)

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MA9311 APPLIED MATHEMATICS -ME (I Sem. ME(ECE))

MA9311 APPLIED MATHEMATICS 

UNIT – I LINEAR ALGEBRAIC EQUATION AND EIGEN VALUE PROBLEMS (12)
System of equations- Solution by Gauss Elimination, Gauss-Jordan and LU decomposition
method- Jacobi, Gauss-Seidal iteration method- Eigen values of a matrix by Jacobi and
Power method.

UNIT - II WAVE EQUATION (12)
Solution of initial and boundary value problems- Characteristics- D’Alembert’s Solution -
Significance of characteristic curves - Laplace transform solutions for displacement in a
long string - a long string under its weight - a bar with prescribed force on one end- free
vibrations of a string.

UNIT - III SPECIAL FUNCTIONS (12)
Bessel’s equation - Bessel Functions- Legendre’s equation - Legendre polynomials -
Rodrigue’s formula - Recurrence relations- generating functions and orthogonal property
for Bessel functions - Legendre polynomials.
UNIT - IV RANDOM VARIABLES (12)
One dimensional Random Variable - Moments and MGF – Binomial, Poisson, Geometrical,
Normal Distributions- Two dimensional Random Variables – Marginal and Conditional
Distributions – Covariance and Correlation Coefficient - Functions of Two dimensional
random variable

UNIT - V QUEUEING THEORY (12)
Single and Multiple server Markovian queueing models - Steady state system size
probabilities – Little’s formula - Priority queues - M/G/1 queueing system – P.K. formula.
L:45 T:15 TOTAL: 60 PERIODS

REFERENCES:
1. Sankara Rao.K. “Introduction to Partial Differential Equation “, PHI, 1995.
2. Taha. H.A., “Operations Research- An Introduction “ 6th Edition, PHI, 1997.
3. Jain M.K. Iyengar, S.R.K. & Jain R.K., “International Methods for Scientific and
Engineering Computation”, New Age International (P) Ltd, Publlishers 2003.
4. Kanpur J.N. & Saxena. H.C. “Mathematical Statistics”, S.Chand & Co.,New Delhi,
2003.
5. Greweal B.S. “Higher Engineering Mathematics”, Khanna Publishers, 2005.


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