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The course serves as an introduction to the theory and practice behind many of today’s communications systems.
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English
English [CC]
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Description
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 content
- 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
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Instructor
Massachusetts Institute of Technology
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