Course Outline
1. Basic Elements of a Digital Communication System
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Transmitter
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Receiver
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Communication channels
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What problem do we try to solve?
2. The Probability and Stochastic Processes
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Review of probability (random variables, probability density
functions, Chernoff bound, central limit theorem)
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Review of stochastic processes (statistical averages, power density
spectrum, system responses)
3. Characterization of Communication Signals and Systems
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Equivalent complex baseband representation of bandpass signals and
systems
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Signal space representation of signals
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Linear modulation schemes (PAM, PSK, QAM, differential PSK)
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Nonlinear modulation schemes - Continuous phase modulation (CPM)
4. Optimum Reception in Additive White Gaussian Noise (AWGN)
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Optimum coherent receivers (demodulation, detection,
maximum-likelihood, maximum-a-posteriori)
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Performance analysis of optimum receivers
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Optimum and suboptimum noncoherent receivers (differential
detection, multiple-symbol differential detection)
5. Signal Design for Bandlimited Channels
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Characterization of bandlimited channels
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Signal design (Nyquist criterion)
6. Equalization of Channels with ISI
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Maximum-likelihood sequence estimation (MLSE)
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Linear equalization (LE)
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Decision-feedback equalization (DFE)
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