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August 6, 2022


Unlimited Duration


This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration


The course serves as an introduction to the theory and practice behind many of today’s communications systems.

6.450 forms the first of a two-course sequence on digital communication. The second class, 6.451 Principles of Digital Communication II, is offered in the spring.

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.

Course Curriculum

  • Introduction: A layered view of digital communication Unlimited
  • Discrete source encoding Unlimited
  • Memory-less sources, prefix free codes, and entropy Unlimited
  • Entropy and asymptotic equipartition property Unlimited
  • Markov sources and Lempel-Ziv universal codes Unlimited
  • Quantization, high-rate quantizers, and waveform encoding Unlimited
  • Fourier series and Fourier transforms Unlimited
  • Measure Unlimited
  • Discrete-time Fourier transforms and sampling theorem Unlimited
  • Degrees of freedom, orthonormal expansions, and aliasing Unlimited
  • Signal space, projection theorem, and modulation Unlimited
  • Nyquist theory, pulse amplitude modulation (PAM), quadrature amplitude modulation (QAM), and frequency translation Unlimited
  • Random processes Unlimited
  • Jointly Gaussian random vectors and processes and white Gaussian noise (WGN) Unlimited
  • Linear functionals and filtering of random processes Unlimited
  • Review; introduction to detection Unlimited
  • Detection for random vectors and processes Unlimited
  • Theorem of irrelevance, M-ary detection, and coding Unlimited
  • Review of theorem of irrelevance and introduction to wireless communication Unlimited
  • Introduction to wireless communication (cont.) Unlimited
  • Discrete-time baseband models for wireless channels Unlimited
  • Doppler spread, time spread, coherence time, and coherence frequency Unlimited
  • Detection for flat Rayleigh fading and incoherent channels, and Rake receivers Unlimited
  • Case study – Code Division Multiple Access (CDMA) Unlimited
  • Review Unlimited

About the instructor

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Massachusetts Institute of Technology