The need for Software radios and its definition, Characteristics and benefits of Software radio, Design principles of a software radio. Radio Frequency Implementation Issues: Purpose of RF front–end, Dynamic range, RF receiver front –end topologies, Enhanced flexibility of the RF chain with software radios, Importance of the components to overall performance, Transmitter architectures and their issues, Noise and distortion in the RF chain, ADC & DAC distortion, Pre-distortion, Flexible RF systems using micro-electro mechanical systems.

Review of Correlation matrix and its properties, its physical significance. Eigen analysis of matrix, structure of matrix and relation with its Eigen values and Eigen vectors. Spectral decomposition of correlation matrix, positive definite matrices and their properties and physical significance. Complex Gaussian processes.

Information Theoretic aspects of MIMO: Review of SISO fading communication channels, MIMO channel models, Classical. and extended channels, Frequency selective and correlated channel models, Capacity for deterministic and random MIMO channels, Capacity of separately correlated and key hole Rayleigh fading MIMO channels, Ergodic and outage capacity, Capacity bounds and Influence of channel properties on the capacity.

Review of wireless channel characteristics – Multi carrier and OFDM system fundamentals – OFDMsystemmodel-Comparisonwithsinglecarrier-ChannelcapacityandOFDM–FFTimplementation– Power spectrum – Impairments of wireless channels to OFDM signals – Comparison with other multicarrier modulation scheme: MCCDMA. Synchronization in OFDM–Timing and Frequency Offset in OFDM, Synchronization & system architecture, Timing and Frequency Offset estimation–Pilot and Non pilot based methods, Joint Time & Frequency Offset estimation.

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-HopSS.

Introduction-Recovery algorithms - greedy and convex-The theory of compressed sensing

Introduction Sparse Signal Recovery via Basis Pursuit with RIP- Sparse Signal Recovery via Basis Pursuit without RIP-Sparse Signal Recovery via Greedy Algorithms- Concentration inequalities

Matrix Completion -Robust PCA-Atomic Norms-new advances and Application

Introduction- Overview of Sampling and Reconstruction. Oversampling techniques. Fundamentals of Multi-Rate Systems-Basic building blocks–Up sampling, down sampling, aliasing. Sampling rate change and filtering, fractional sampling rate change. Inter connection of multirate DSP blocks, Polyphase decomposition, Noble Identities, efficient implementation of sampling rate conversion.

Information theory: Information – Entropy, Information rate, classification of codes, Kraft McMillanin equality, Source coding theorem, Shannon ‐ Fano coding, Huffman coding, Extended Huffman coding ‐ Joint and conditional entropies, Mutual information ‐ Discrete memory less channels – BSC, BEC – Channel capacity, Shannon limit.

Computational characteristics of DSP algorithms and applications; Architectural requirements of DSPs: high throughput, low cost, low power, small code size, embedded applications. Numerical representation of signals-word length effect and its impact. Carry free adders, multiplier. Representation of digital signal processing systems: block diagrams, signal flow graphs, data-flow graphs, dependence graphs; Techniques for enhancing computational throughput: parallelism and pipelining.

Introduction to the science and design of robots - behavior-based embodied artificial intelligence, kinematics and inverse kinematics, geometric reasoning, motion planning, mapping, and manipulation, dynamics, biologically inspired and biomimetic robotics, distributed robotics and intelligence, and some philosophical questions pertaining to the nature of intelligence in the physical world.

Introduction to Robotics, robotics Motion Control, Probability/Sensing, Basics of Kalman Filters and the invariants, Localization (SLAM,V-SLAM)