SYLLABUS

SYLLABUS - Output Correlation Output Power Spectral Density...

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ECE 250 SYLLABUS – FALL 2010 WEEKS 1, 2 REVIEW OF FUNDAMENTALS Univariate Distributions and Densities Multivariate Distributions and Densities Conditional Distributions and Densities Characteristic Functions Moments Functions of Random Variables WEEK 2, 3 SOME USEFUL INEQUALITIES Schwarz Triangle Jensen Chebyshev Markov Chernoff Bound WEEK 4 RANDOM PROCESSES Properties Stationary and Wide Sense Stationary (WSS) Processes Power Spectral Density (WSS & Non-WSS) Some Special Processes Gaussian Brownian Motion Poisson Process Random Telegraph Signal October 27 Midterm Exam WEEK 5 LINEAR OPERATIONS ON RANDOM PROCESSES
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Unformatted text preview: Output Correlation Output Power Spectral Density (WSS Case) Gaussian In - Gaussian Out WEEK 6 CONVERGENCE OF RANDOM SEQUENCES Convergence in Probability Mean Square Convergence WEEK 7 SECOND-ORDER CALCULUS FOR RANDOM PROCESSES Integration Differentiation WEEKS 8, 9 SERIES REPRESENTATIONS OF RANDOM PROCESSES Fourier Series Power Series Sampling Expansion (Band-Limited Processes) Karhunen-Loeve Expansion November 25-26 Holiday WEEK 10 OPTIMUM LINEAR SYSTEMS Mean Square Prediction & Smoothing Optimum Signal-to-Noise Ratio Detection of Gaussian Signals December 9 Final Exam...
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SYLLABUS - Output Correlation Output Power Spectral Density...

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