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Indian Institute of Technology Delhi

Principles of Digital Communications

Indian Institute of Technology Delhi and NPTEL via Swayam


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 professionalsPREREQUISITES : Basic idea of Signals and Systems, and probability theoryINDUSTRY SUPPORT : Telecommunication Industry, e.g., Qualcomm,Ericson, Huawei


Week 1: Introduction to digital communications: Interfaces and channels for digital communicationsWeek 2: Geometric representation of signals: Geometric representation of signals, Gram-Schmidt orthogonalization, Geometric interpretation of signalsWeek 3: Review of random variables: Introduction to random variables, joint probability density function, characteristic functions, derived distributionsWeek 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 noiseWeek 6: Waveform coding: Pulse code modulation, Differential pulse codemodulation, and delta modulationWeek 7: Modulation - I: Complex baseband representation, degrees of freedoms, linear modulation, spectral description of linearly modulated signalsWeek 8: Modulation – II: Nyquist criterion, raised cosine family of pulses, Intersymbol interferenceWeek 9: Modulation - III: Coherent binary modulation formats, e.g., ASK, FSK and PSK, Coherent QAM, M-ary modulation techniques, Orthogonal and biorthogonal modulationWeek 10: Hypothesis testing: Optimum decision region in AWGN, Maximum Aposteriori Probability (MAP) and Maximum Likelihood Receiver, Theorem of irrelevanceWeek 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 communicationWeek 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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