Canonical point-to-point digital communication problem; Communication channel models; Optimal receiver principles with focus on additive Gaussian noise channels: Maximum Aposteriori Probability (MAP) and Maximum Likelihood (ML) receivers for both vector and waveform channels, principles of irrelevance and reversibility; Concepts of signal space and signal constellation; Efficient signaling for message sequences over frequency-flat additive Gaussian noise channels: basic digital modulation and demodulation techniques and their performance analysis; Notions of symbol and bit rate, symbol and bit error probability, and power and bandwidth efficiency; Real passband additive Gaussian noise waveform channels and their equivalent complex base-band representation; Efficient signaling for message sequences over general bandlimited additive Gaussian noise channels: signal design and equalization methods to combat intersymbol interference; Coherent versus Noncoherent digital signaling; Synchronization; Channel estimation; Error correction coding basics.

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