Introduction: A layered view of digital communication
Course
Principles of Digital Communication I
This 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, 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.
24 Lectures
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Discrete source encoding
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Memory-less sources, prefix free codes, and entropy
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Entropy and asymptotic equipartition property
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Markov sources and Lempel-Ziv universal codes
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Quantization
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High rate quantizers and waveform encoding
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Measure, fourier series, and fourier transforms
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Discrete-time fourier transforms and sampling theorem
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Degrees of freedom, orthonormal expansions, and aliasing
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Signal space, projection theorem, and modulation
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Nyquist theory, pulse amplitude modulation (PAM), quadrature amplitude modulation (QAM), and frequency translation
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Random processes
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Jointly Gaussian random vectors and processes and white Gaussian noise (WGN)
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Linear functionals and filtering of random processes
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Review; introduction to detection
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Detection for random vectors and processes
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Theorem of irrelevance, M-ary detection, and coding
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Baseband detection and complex Gaussian processes
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Introduction of wireless communication
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Doppler spread, time spread, coherence time, and coherence frequency
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Discrete-time baseband models for wireless channels
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Detection for flat rayleigh fading and incoherent channels, and rake receivers
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Case study — code division multiple access (CDMA)