This is a graduate-level course on the fundamentals of digital communications which builds upon an introductory course on Analog and Digital Communications. The objective of the course is to develop a deeper understanding of digital communication systems.  Major topics include:  modulation theory (Maximum A Posteriori decision theory, optimum receivers, vector-space representation of signals, probability of error analysis, energy and bandwidth efficiency), basic simulation principles, signal processing (block codes, convolutional codes, equalization), and spread spectrum communications (direct-sequence, frequency-hopped).  Examples will be taken from radio and satellite communications systems.

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