OUTLINE_HW5 (2)

OUTLINE_HW5 (2) - Problem 5.2 For the system in Problem...

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Lectures 12-15 ECE6603: Advanced Digital Communications School of Electrical and Computer Engineering Georgia Institute of Technology Handouts: Outline of Lectures 12-15 HW#5 Lecture: Optimum Equalization Theory (Text book: pp. 446-386) Review of whitened matched filter (WMF) Matched filter bound Figure of merit and MSE Zero-forcing linear equalizer (LE-ZF) Zero-forcing decision-feedback equalizer (DFE-ZF) Minimum MSE linear equalizer (DFE-MMSE) Minimum MSE decision-feedback equalizer (DFE-MMSE) Comparison of different equalizers
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Homework 5 ECE6603: Advanced Digital Communications School of ECE, Georgia Institute of Technology Problem 5.1 Given a AWGN channel with transfer function   1 1 cz z H with 1 c , white Gaussian channel noise with variance 2 N , and channel input   n a with 1 2 n a E . Find matched filter bound (MFB) and equivalent mean-square error (MSE).
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Unformatted text preview: Problem 5.2 For the system in Problem 5.1, find a) the coefficients of the zero-forcing linear equalizer (ZF-LE). b) MSE of the equalizer output. Problem 5.3 For the system in Problem 5.1, find a) the coefficients of the zero-forcing decision-feedback equalizer (ZF-DFE). b) MSE of the equalizer output. Problem 5.4 For the system in Problem 5.1, find a) the coefficients of the minimum MSE linear equalizer (MMSE-LE). b) MSE of the equalizer output. Problem 5.5 For the system in Problem 5.1, find a) the coefficients of the minimum MSE decision-feedback equalizer (MMSE-DFE). b) MSE of the equalizer output. Bonus Problem: Let h(t) in the following figure be the channel impulse response and N(t) be additive white Gaussian noise with o j NN N e S . Find f(t) to minimize 2 ) ( n a nT y E . N(t) t=nT x(t) y(t) y(nT) h(t) f(t) n n nT t a...
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OUTLINE_HW5 (2) - Problem 5.2 For the system in Problem...

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