Syllabus

Module 1: Representation of analog signal waveforms by samples: Sampling theory: impulse sampling, natural sampling and pulse amplitude modulation (PAM), Nyquist criterion, Aliasing and its corrective measures, Quantization: uniform and non-uniform, Companding: µ-law and A-law, Statistical characterization of quantization noise.
(4 hours)

Module 2: Digital baseband transmission: Pulse code modulation (PCM), Noise in PCM systems, Prediction-error filtering, Differential PCM (DPCM), Delta modulation, Line codes, Time division multiplexing (TDM), Digital telephony: T1 carrier system, Review of vector space concepts, Introduction to signal-space analysis: Geometric representation of signals, Gram-Schmidt orthogonalization procedure, Signal-to-vector and vector-to-signal mapping, Optimum receiver for baseband M-ary signals in additive white Gaussian noise (AWGN): Correlation and matched filter receivers, Calculation of probability of error of baseband binary signals’ detection in AWGN, Calculation of probability of error union bound for baseband M-ary signals’ detection in AWGN, Intersymbol interference (ISI), Ideal Nyquist pulse for distortionless baseband transmission, Raised-Cosine spectrum, Eye diagram.
(8 hours)

Module 3: Digital passband transmission: Digital modulation schemes with coherent detection: Binary phase-shift keying (BPSK), M-ary PSK (M-PSK), M-ary quadrature amplitude modulation (M-QAM), binary frequency-shift keying (BFSK), Transmitter and receiver structures, Signal constellation diagrams, Probability of error calculation for various modulation schemes in AWGN channel, Detection of signal with unknown phase, Optimum quadratic receiver, Digital modulation schemes with non-coherent detection: Non-coherent BFSK, Differential PSK (DPSK), Non-linear modulation schemes: Continuous-phase FSK (CPFSK), minimum shift keying (MSK), Gaussian MSK (GMSK).
(7 hours)

Module 4: Introduction to information theory: Review of probability theory and random processes, Uncertainty, information, and entropy, Source-coding theorem, Discrete memoryless channels, Mutual information, Channel capacity, Channel-coding theorem, Differential entropy and mutual information of continuous ensembles, Information capacity theorem, Rate distortion theory.
(6 hours)

Module 5: Error control coding: Introduction, Linear block codes, Cyclic codes, Convolution codes, Optimum decoding of convolution codes.
(5 hours)

To develop understanding of fundamental operations namely sampling, quantization, and reconstruction required to design a digital communication system.

To develop understanding of digital baseband transmission (i.e., PCM, DPCM, DM) and digital passband transmission techniques (i.e., BPSK, QPSK, BFSK, QAM, noncoherent BFSK, DPSK, etc.).

To develop understanding of information-theoretic capacity limits for distortionless transmission over a noisy channel in a digital communication system.

To develop understanding of error control coding for reliable data transmission over a noisy channel in a digital communication system.

After the completion of this course, students will be able to:

CO1: gain knowledge of fundamental operations sampling, quantization, and reconstruction required for signal transmission and reception in a digital communication system.

CO2: design digital baseband signalling using PCM, DPCM, and DM techniques for a digital communication system.

CO3: design digital passband signalling using coherent BPSK, QPSK, BFSK, QAM, noncoherent BFSK, DPSK, etc. for a digital communication system.

CO4: predict the information-theoretic capacity limits for distortionless transmission over a noisy channel in a digital communication system.

CO5: apply error control coding for reliable data transmission over a noisy channel in a digital communication system.

S. Haykin, Digital Communication Systems, 1st edition, Wiley , 2013

B. P. Lathi and Z. Ding, Modern Digital and Analog Communication Systems, 4th edition, Oxford , 2011

B. Sklar and P. K. Ray, Digital Communications: Fundamentals and Applications, 2nd edition, Pearson , 2009

J. G. Proakis and M. Salehi, Digital Communications, 5th edition, McGraw Hill , 2014