Fundamental Concepts: Integral equations versus differential equations, radiation and edge conditions, modal representation of fields in bounded and unbounded media. Finite Difference Methods: Introduction, Finite Difference Schemes, Finite differencing of parabolic PDE, Finite Differencing of Hyperbolic PDE, Finite differencing of elliptic PDE, Accuracy and stability of FD Solutions, Practical Applications in Guided structure.

Fundamental: Concepts of antenna parameters, Radiation from Wires and Loops: Infinitesimal dipole, finite-length dipole, linear elements near conductors, dipoles for mobile communication, small circular loop, Aperture Antennas: Huygens’ principle, radiation from rectangular and circular apertures, design considerations, Babinet’s principle, Fourier transform method in aperture antenna theory, Horn and Reflector Antennas: Radiation from sectoral and pyramidal horns, design concepts, prime focus parabolic reflector and casse grain antennas Microstrip Antennas: Basic characteristics, feeding m

1. Presentation (Topic to be chosen by students based on the options offered by the faculty members)

2. Contact Hours (12 HRS) [This depends with the interaction with the concerned faculty member]

3. Preparation of Report.

4. Evaluation is based on presentation and report submission.

1. Radio-Frequency Characteristics of Components

2. Introduction to Microwave Measurements: Detection of RF Power and Development of a Scalar Reflectometer

3. Introduction to Network Analysis

4. Introduction to Microstrip Transmission Lines and Computer-Aided Design lab5.mdl - IC-CAP file for measurement control

5. Introduction to Microwave Transistors

6. Matching Network Design and Circuit Layout

7. Amplifier Design for Maximum Power Transfer

8. Amplifier Nonlinear Performance and Inter modulation

9. Low Noise Amplifier Design

Transient and ac behavior of p-n junctions, effect of doping profile on the capacitance of p-n junctions, noise in p-n junctions, high-frequency equivalent circuit, varactor diode and its applications; Schottky effect, Schottky barrier diode and its applications; Heterojunctions. Tunneling process in p-n junction and MIS tunnel diodes, V-I characteristics and device performance, backward diode. Impact ionization, IMPATT and other related diodes, small-signal analysis of IMPATT diodes.

Introduction to Wireless Systems: Classification of wireless systems; Design and performance issues include the choice of operating frequency, multiple access and duplexing, circuit switching versus packet switching, propagation, radiated power and safety; Cellular telephone systems and standards.

Introduction to waves: The wave equation, waves in perfect dielectrics, lossy matter, reflection of waves, transmission line concepts, waveguide and resonator concepts, radiation and antenna concepts. Theorems and concepts: Duality, uniqueness, image theory, the equivalence principle, induction theorem, reciprocity theorem, Green’s function and integral equation. Plane wave functions: The wave function, plane waves, rectangular waveguide and cavity, partially filled waveguide, dielectric slab waveguide, surface guided waves, currents in waveguides.

Complex integration: Cauchy-Goursat Theorem (for convex region), Cauchy's integral formula, Higher order derivatives, Morera's Theorem, Cauchy's inequality and Liouville's theorem, Fundamental theorem of algebra, Maximum modulus principle, Taylor’s theorem, Schwarz lemma. Laurent's series, Isolated singularities, Meromorphic functions, Rouche's theorem, Residues, Cauchy's residue theorem, Evaluation of integrals, Riemann surfaces.

Introduction and fundamentals of machine learning: Basics of supervised/unsupervised/reinforcement learning, Revision of probability and statistics revision, Revision of linear algebra, Fundamentals of numerical optimization, Machine learning for wireless communications, Machine learning for physical layer design Linear Modeling: A Least Squares Approach, Linear modeling Generalization and over fitting, Regularized least squares Wireless application - MIMO zero-forcing receiver design Linear Modeling: A Maximum Likelihood Approach, Errors as noise– thinking generatively, Maximum likelihood,