Syllabus

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.

Band limited channels and inter symbol interference (ISI). Signal design for band limited channels ‐Nyquist criterion and Pulse Shaping, Partial response signaling. Non-ideal bandlimited channels ‐receivers for channel with ISI and AWGN‐ML receiver, its performance. Signal processing algorithms for linear Equalization. Carrier and Symbol synchronization, Carrier Phase estimation: ML estimation, PLL, Symbol timing estimation: ML timing estimation, Joint estimation of carrier phase and symbol timing. Case studies of digital communication receivers.

Noise modeling in communication systems-additive white Gaussian noise (AWGN) channels. Signal space concepts: Geometric structure of the signal space, vector representation, signal norms, and inner product, orthogonality, Gram-Schmidt orthogonalization. Optimum receiver for AWGN channels: Optimal detection and error probability for digital signaling schemes. Matched filter and Correlation receiver.

Case study of design of digital communication system receiver with emphasis on signal processing algorithms.