The examination will cover the following subjects:
Fourier Transform in discrete and continuous time, (unilateral) Laplace and Z-transforms
Modulation: AM (DSB and SSB) and FM, without noise calculations
Nyquist's sampling theorem
Definition and basic properties of probability and random variables
Commonly encountered probability distributions
Convergence (a.s., in probability, in distribution, in Lp)
Expectation, conditional expectation, linear least squares estimation
Random processes and wide sense stationary properties
Brownian motion, Poisson process, Markov chains (DT and CT)
Transformation of deterministic and second order random processes by LTI system, incontinuous time, discrete time, and mixed
Wiener Filtering (at level of Gray and Davisson)
STUDENTS WILL BE EXPECTED TO APPLY THIS MATERIAL TO SIMPLE APPLICATIONS.
NOTE: The following courses may not be used to fulfill the prelim breadth requirement if you take the communications prelim: EE 120, 121, 123, 126, 224, 225ABD, 226AB, 228AB, 229, 290Q, 290S, and 290T.