Qualifying Exam Syllabus
Area I: Probability, Random Variables & Random ProcessesProbability fundamentals, one and multiple random variables, expectations, characteristic functions, independence/uncorrelatedness.
Classification of random processes - 2nd order characterization (correlation, power spectral density), ergodicity; Filtering by LTI systems; Special Processes - Markov Chains/Processes; Gaussian Processes.
Suggested Reference (level of competency expected): current EE505 text
Area II: Communication SystemsCoherent/diff-coherent/noncoherent modulation in Gaussian noise.
Basic concepts of equalization and Multiple-access schemes (FDMA/TDMA/CDMA).
Suggested Reference (level of competency expected): current EE506 text
Area III: Communication NetworksLink-level ARQ schemes (Stop-and-wait, go-back-N, selective repeat).
Elementary queueing models for networks (M/M/1, M/G/1, M/M/K/K, etc.). Queueing networks. Random Multiaccess schemes and their performance (e.g. Aloha, CSMA, splitting algorithms).
Basic understanding of the protocols used for routing and congestion control in the Internet.
Suggested Reference (level of competency expected): current EE565 text