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

FREE
This course includes
Units & Quizzes

25

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Certificate of Completion

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 Currilcum

  • 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
Massachusetts Institute of Technology
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