Analysis of LTI system: Phase and Magnitude response of the system, Minimum phase, maximum phase, Allpass. MultiMate Signal Processing: Interpolation, Decimation, sampling rate conversion, Filter bank design, Poly phase structures. Time-frequency representation; frequency scale and resolution; uncertainty principle, short-time Fourier transform. Multi-resolution concept and analysis, Wavelet transform (CWT, DWT). Optimum Linear Filters: Innovations Representation of a Stationary Random Process, Forward and Backward linear prediction, Solution of the Normal Equations.

Wireless Communications and Diversity: Introduction to Wireless Channel and Fading - Rayleigh/Rician Fading, Broadband Wireless Channel Modeling: Introduction to LTV Systems, Channel Delay Spread, Coherence Bandwidth, BER Comparison of Wired and Wireless Communication Systems. Introduction to Diversity, Multi-antenna Maximal Ratio Combiner, BER with Diversity, Spatial Diversity and Diversity Order. ISI and Doppler in Wireless Communications, Doppler Spectrum and Jakes Model. Spread spectrum: PN Sequences, DSSS with BPSK, Signal space dimensionality and processing gain, Frequency-Hop SS.

Motivating examples of digital communications. Spectrum availability and channels. Channel modeling base band and pass band channels. Digital modulation schemes for base band and pass band channels. Line coding, Pulse amplitude modulation, Phase modulation, CPFSK, Frequency shift keying, QAM.

Nature of Radar and Applications, Simple form of Radar Equation, Radar Block Diagram and Operation, Prediction of Range Performance, Minimum Detectable Signal, Radar Receivers, Transmitter Power, CW and Frequency Modulated Radar, MTI and Pulse Doppler Radar, Tracking Radar, Detection of Radar Signals in Noise, Airborne Radar, Space borne Radar, Synthesis aperture radar, SHAR and MST radar.

Optical properties of semiconductor materials -Optical absorption and emission-Diode lasers-edge emitting, vertical cavity surface emitting lasers, direct modulation-frequency chirping-steady state characteristics-noise. Dielectric waveguides, perturbation and coupled mode theory, Photonic crystals, metamaterials, plasmonics, Integrated optics and photonic integrated circuits. Optical modulators-Electrooptic, Electro absorption, Photodetectors. Optical delay lines, Optical based true time delays. Optoelectronic integrated circuits, Silicon photonics.

On-chip RF passive components, resonant circuits, matching circuits. Noise – source, modelling, noise figure, noise temperature, noise figure of cascaded systems. Linearity – HD, IMD, IP2, IP3. ACLR, AACLR. Basics of wireless communication. LNA design, input matching for power, input matching for noise. Advanced LNA circuits. Mixer topologies – active and passive. Receiver architectures. Voltage controlled oscillator topologies – theory and design. Phase locked loops (PLL) – theory, design of individual elements and the complete system.

Introduction to Metamaterials: Electrodynamics of Left-Handed Media, Wave Propagation in Left-Handed Media, Energy Density and Group Velocity, Negative Refraction, Fermat Principle, Other Effects in Left-Handed Media, Inverse Doppler Effect Backward Cerenkov Radiation, Negative Goos–Hanchen Shift Backward Leaky and Complex Waves, Phase Compensation and Amplification of Evanescent Modes, Perfect Tunneling, The Perfect Lens, Losses and Dispersion

Cellular Concept: Frequency reuse, channel assignment, hand off, interference and system capacity, tracking and grade of service, improving coverage and capacity in cellular systems.

Remote sensing: definiion, Components of Remote Sensing - Energy, Sensor, Interacting Body - Active and Passive Remote Sensing – Platforms – Aerial and Space Platforms – Balloons, Helicopters, Aircraft and Satellites – Synoptivity and Repetivity – Electro Magnetic Radiation (EMR) – EMR spectrum – Visible, Infra Red (IR), Near IR, Middle IR, Thermal IR and Microwave – Black Body Radiation - Planc ’s law – Stefan Boltzman law.

Fundamental Concepts: Terrestrial links, satellite links, macrocells, microcells, picocells, bodycentric systems, UWB systems; Cellular concept; Multiple-access schemes and duplexing; Review of antenna parameters; Friss transmission formula.