Waveform coding, source coding and data compression. Pulse modulation systems: signal spaces, optimal receivers, probability of error. Baseband and bandpass data transmission. Introduction to channel coding. Prerequisite: E&C-ENG 563.

Introduction to the design and analysis of algorithms. Topics include basic algorithmic paradigms (e.g. divide-and-conquer, dynamic programming, the greedy approach and randomization), their application to core problems in graph theory and optimization, as well as analysis of time and space complexity.

Probability space, conditional probability, Bayes theorem. Combinatorial analysis. Random variables (r.v.'s), distribution and density functions. Expected value, moments, characteristic function. Function of r.v.'s, Multiple r.v.'s, conditional distributions, independent r.v.'s. Multivariate Gaussian r.v.'s. Parameter estimation, confidence intervals, hypothesis testing. Introduction to random processes: mean, autocorrelation, power spectral density. Prerequisite: E&C-ENG 313.

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E&C ENG 499Y is Part 1 of the senior honors thesis or project in ECE, to be followed in the spring by Part 2 (E&C ENG 499T for thesis or ECE 499P for project). Individual student research is directly contracted with the faculty chairs who supervise the work. In addition, all 499Y students participate in a common thesis/project seminar that addresses research-related communication and other aspects of the research process in a seminar/workshop format. Seminar topics are deliberately selected and timed to support development of the 499T/P thesis/project proposals.

Analysis and design of passive microwave devices, including resonators, filters, and ferrite devices, in various transmission-line media. Noise and noise effects in detectors, mixers, and modulators. Introduction to FET amplifier design. Prerequisite: E&C-ENG 584.

With lab. IIR and FIR digital filter design. Applications of DFT and FFT. Transform domain analysis of discrete-time (DT) linear time-invariant systems: minimum phase, allpass, linear phase systems. Im-plementation of DT systems. Finite wordlength effects. Multirate digital signal processing. Power spectrum estimation. Lab includes projects using digital signal processors. Prerequisite: E&C-ENG 563.