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September 21, 2023


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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)

Course Curriculum

  • Lecture 01 – Introduction: A Layered View of Digital Communication Unlimited
  • Lecture 02 – Discrete Source Encoding Unlimited
  • Lecture 03 – Memory-less Sources, Prefix Free Codes, Entropy Unlimited
  • Lecture 04 – Entropy and Asymptotic Equipartition Property Unlimited
  • Lecture 05 – Markov Sources and Lempel-Ziv Universal Codes Unlimited
  • Lecture 06 – Quantization Unlimited
  • Lecture 07 – High Rate Quantizers and Waveform Encoding Unlimited
  • Lecture 08 – Measure, Fourier Series, and Fourier Transforms Unlimited
  • Lecture 09 – Discrete-Time Fourier Transforms and Sampling Theorem Unlimited
  • Lecture 10 – Degrees of Freedom, Orthonormal Expansions, and Aliasing Unlimited
  • Lecture 11 – Signal Space, Projection Theorem, and Modulation Unlimited
  • Lecture 12 – Nyquist Theory, PAM, QAM, and Frequency Translation Unlimited
  • Lecture 13 – Random Processes Unlimited
  • Lecture 14 – Jointly Gaussian Random Vectors and Processes and White Gaussian Noise Unlimited
  • Lecture 15 – Linear Functionals and Filtering of Random Processes Unlimited
  • Lecture 16 – Review; Introduction to Detection Unlimited
  • Lecture 17 – Detection for Random Vectors and Processes Unlimited
  • Lecture 18 – Theory of Irrelevance, M-ary Detection, and Coding Unlimited
  • Lecture 19 – Baseband Detection and Complex Gaussian Processes Unlimited
  • Lecture 20 – Introduction of Wireless Communication Unlimited
  • Lecture 21 – Doppler Spread, Time Spread, Coherence Time, and Coherence Frequency Unlimited
  • Lecture 22 – Discrete-Time Baseband Models for Wireless Channels Unlimited
  • Lecture 23 – Detection for Flat Rayleigh Fading and Incoherent Channels, and Rake Receivers Unlimited
  • Lecture 24 – Case Study on Code Division Multiple Access Unlimited

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