31-05-2014, 04:52 PM
I SEMESTER =LINEAR ALGEBRA
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Linear equations: Fields; system of linear equations, and its solution sets;
elementary row operations and echelon forms; matrix operations; invertible
matrices, LU-factorization
Vector Spaces: Vector spaces; subspaces; bases and dimension; coordinates;
summary of row-equivalence; computations concerning subspaces
Linear Transformations: Linear transformations; algebra of linear
transformations; isomorphism; representation of transformations by matrices;
linear functionals; transpose of a linear transformation. (Ref.2 Chap.3)
Canonical Forms: Characteristic values; annihilating polynomials; invariant
subspaces; direct-sum decompositions; invariant direct sums; primary
decomposition theorem; cyclic bases; Jordan canonical form. Iterative
estimates of characteristic values. (Ref.2 Chap.6)
Inner Product Spaces: Inner products; inner product spaces; orthogonal sets
and projections; Gram-Schmidt process; QR-factorization; least-square
problems; unitary operators. (Ref.1 Chap.8)
Symmetric Matrices and Quadratic Forms: Digitalization; quadratic
forms; constrained optimization; singular value decomposition. (Ref.2
Chap.7)
Reference Books:
1.Gilbert Strang, "Linear Algebra and its Applications”, 3rd edition,
Thomson Learning Asia, 2003.
2.Kenneth Hoffman and Ray Kunze, "Linear Algebra," 2nd edition,
Pearson Education (Asia) Pte. Ltd/ Prentice Hall of India, 2004.
3.David C. Lay, “Linear Algebra and its Applications,” 3rd edition,
Pearson Education (Asia) Pte. Ltd, 2005.
4.Bernard Kolman and David R. Hill, "Introductory Linear Algebra
with Applications," Pearson Education (Asia) Pte. Ltd, 7th edition, 2
ANTENNA THEORY & DESIGN
Antenna Fundamentals and Definitions: Radiation mechanism - over
view, Electromagnetic Fundamentals, Solution of Maxwell’s Equations for
Radiation Problems, Ideal Dipole, Radiation Patterns, Directivity and Gain,
Antenna Impedance, Radiation Efficiency. Antenna Polarization
Resonant Antennas: Wires and Patches, Dipole ntennas, Yagi - Uda
Antennas, Micro strip Antenna.
Arrays: Array factor for linear arrays, uniformly excited, equally spaced
Linear arrays, pattern multiplication, directivity of linear arrays, non-
uniformly excited -equally spaced linear arrays, Mutual coupling,
multidimensional arrays, phased arrays, feeding techniques, perspective on
arrays.
Broad band Antennas: Traveling - wave antennas, Helical antennas,
Biconical antennas, sleave antennas, and Principles of frequency -
independent Antennas, spiral antennas, and Log - Periodic Antennas.
Aperture Antennas: Techniques for evaluating Gain, reflector antennas -
Parabolic reflector antenna principles, Axi -symmetric parabolic reflector
antenna, offset parabolic reflectors, dual reflector antennas, Gain calculations
for reflector antennas, feed antennas for reflectors, field representations,
matching the feed to the reflector, general feed model, feed antennas used in
practice.
Antenna Synthesis: Formulation of the synthesis problem, synthesis
principles, line sources shaped beam synthesis, linear array shaped beam
synthesis — Fourier Series, Woodward — Lawson sampling method,
comparison of shaped beam synthesis methods, low side lobe narrow main
beam synthesis methods Dolph Chebyshev linear array, Taylor line source
method.
Method of Moments : Introduction to method of Moments, Pocklington’s
integral equation, integral equations and Kirchoff’s Networking Equations,
Source Modeling Weighted residuals formulations and computational
consideration, calculation of antenna and scatter characteristics.
CEM for Antennas : Finite Difference Time Domain Method Geometrical
Optics Wedge diffraction theory, ray fixed coordinate system, uniform theory
of wedge diffraction, E - Plane analysis of Horn antennas. Cylindrical
parabolic antenna, radiation by a slot on a finite ground plane, radiation by a
monopole on a finite ground plane, equivalent current concepts, multiple
diffraction formulation, by curved surfaces, physical optics, method of
stationary phase,
Physical theory of diffraction, cylindrical parabolic reflector antennas.
REFERENCE BOOKS:
1.C. A. Balanis: “Antenna Theory Analysis and Design”, John Wiley,
2nd Edition, 1997
2.Kraus: “Antennas”, McGraw Hill, TMH, 3rd/4th Edition.
3.Stutzman and Thiele, “Antenna Theory and Design”, 2ndEd, John
Wiley and Sons Inc..
4.Sachidananda et. el, “Antenna and Propagation”, Pearson Edu.