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Hw7_001 - ECE 5670 Digital Communications(Spring 2011...

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ECE 5670 : Digital Communications (Spring 2011) Homework 7 Due March 17 in class Instructor: Salman Avestimehr Office 325 Rhodes Hall 1. Note that (a) The prelim exam is on Thursday March 17 at 8:30 am-10:00 am in PHL 403. (b) You are allowed to bring one page of letter-size crib sheet (one-side only). (c) Prelim will cover all materials up to 3/10, except for OFDM. 2. Look at the list of projects posted on blackboard (in the assignments section), skim through the references, and list your preferences. Your answer should be an ordered list of all four the projects, e.g. (1- Turbo codes, 2- LDPC codes, 3- Reed Solomon codes , and 4- LT codes). 3. Consider the following communication channel with intersymbol interference (ISI) y [1] = 2 x [1] + w [1] (1) y [2] = x [1] + 2 x [2] + w [2] (2) where x [1] and x [2] are two data symbols and w [1] and w [2] are i.i.d. Gaussian noise random variables with mean zero and variance σ 2 . (a) Write down an expression for the matched lter for estimating x [1] as a function of y [1] and y [2]. If x [1] and x
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