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Online Course

# Principles of Digital Communication

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## Overview

Digital communication is a fundamental course in the electronics and communication stream.The objectives of this course is to introduce the basic principles that underlie the analysis and successful design of a digital communication system. Digital communication systems have been used in all modern communication systems. Emphasis is placed on understanding system design goals and to optimize the tradeoff among basic system parameters such as signal-to-noise ratio, bandwidth, etc.   INTENDED AUDIENCE: Electronics and Communications Engineering students and professionals   PREREQUISITES : Basic idea of Signals and Systems, and probability theory   INDUSTRY SUPPORT : Telecommunication Industry, e.g., Qualcomm,Ericson, Huawei

## Syllabus

COURSE LAYOUT Week 1: Introduction to digital communications: Interfaces and channels for digital communications Week 2: Geometric representation of signals: Geometric representation of signals, Gram-Schmidt orthogonalization, Geometric interpretation of signals Week 3: Review of random variables: Introduction to random variables, joint probability density function, characteristic functions, derived distributions Week 4: Review of random process: Introduction to random processes, Gaussian process, Linear functional of random process, Stationary and wide sense stationary random process, Power spectral density, White Gaussian noise Week 6: Waveform coding: Pulse code modulation, Differential pulse codemodulation, and delta modulation Week 7: Modulation - I: Complex baseband representation, degrees of freedoms, linear modulation, spectral description of linearly modulated signals Week 8: Modulation – II: Nyquist criterion, raised cosine family of pulses, Intersymbol interference Week 9: Modulation - III: Coherent binary modulation formats, e.g., ASK, FSK and PSK, Coherent QAM, M-ary modulation techniques, Orthogonal and biorthogonal modulation Week 10: Hypothesis testing: Optimum decision region in AWGN, Maximum Aposteriori Probability (MAP) and Maximum Likelihood Receiver, Theorem of irrelevance Week 11: Performance analysis of binary and M-ary signaling schemes: Performance analysis of binary signaling schemes, performance analysis of M-ary signaling schemes, bit-level demodulation,Non-coherent communication: Composite hypothesis testing, optimal demodulation for non-coherent communication Week 12: Performance analysis of non-coherent communication: Performance of binary and M-ary non-coherent communication

#### Taught by

Prof. Abhishek Dixit

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