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6.450 Principles of Digital Communications I

6.450 Principles of Digital Communications I (Fall 2006, MIT OCW). Taught by Professor Lizhong Zheng and Professor Robert Gallager, this course serves as an introduction to the theory and practice behind many of today's communications systems. Topics covered include: digital communications at the block diagram level, data compression, Lempel-Ziv algorithm, scalar and vector quantization, sampling and aliasing, the Nyquist criterion, PAM and QAM modulation, signal constellations, finite-energy waveform spaces, detection, and modeling and system design for wireless communication. (from ocw.mit.edu)

Lecture 18 - Theory of Irrelevance, M-ary Detection, and Coding

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Lecture 01 - Introduction: A Layered View of Digital Communication

Lecture 02 - Discrete Source Encoding

Lecture 03 - Memory-less Sources, Prefix Free Codes, Entropy

Lecture 04 - Entropy and Asymptotic Equipartition Property

Lecture 05 - Markov Sources and Lempel-Ziv Universal Codes

Lecture 06 - Quantization

Lecture 07 - High Rate Quantizers and Waveform Encoding

Lecture 08 - Measure, Fourier Series, and Fourier Transforms

Lecture 09 - Discrete-Time Fourier Transforms and Sampling Theorem

Lecture 10 - Degrees of Freedom, Orthonormal Expansions, and Aliasing

Lecture 11 - Signal Space, Projection Theorem, and Modulation

Lecture 12 - Nyquist Theory, PAM, QAM, and Frequency Translation

Lecture 13 - Random Processes

Lecture 14 - Jointly Gaussian Random Vectors and Processes and White Gaussian Noise

Lecture 15 - Linear Functionals and Filtering of Random Processes

Lecture 16 - Review; Introduction to Detection

Lecture 17 - Detection for Random Vectors and Processes

Lecture 18 - Theory of Irrelevance, M-ary Detection, and Coding

Lecture 19 - Baseband Detection and Complex Gaussian Processes

Lecture 20 - Introduction of Wireless Communication

Lecture 21 - Doppler Spread, Time Spread, Coherence Time, and Coherence Frequency

Lecture 22 - Discrete-Time Baseband Models for Wireless Channels

Lecture 23 - Detection for Flat Rayleigh Fading and Incoherent Channels, and Rake Receivers

Lecture 24 - Case Study on Code Division Multiple Access