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PLEASE NOTE: SOME STUDENTS WILL TAKE A MAKE-UP QUIZ LATER THAN YOU. PLEASE DON’T DISCUSS THIS QUIZ WITH ANYONE IN THE CLASS, UNLESS YOU’RE SURE THEY HAVE TAKEN IT WITH YOU TODAY. Do not write in the boxes below 1-6(*/19) 7-10 (*/19) 11-17 (*/25) 18-21 (*/13) 22-24 (*/12) 25-27 (*/12) Total (*/100) Page 2 of 17 6.02 Fall 2012, Quiz 2 I Bring in The Noise A particular digital communication scheme sends signals over a channel that behaves essentially as a linear,
time-invariant (LTI) system at baseband. The binary source at the transmitter generates the symbols “0” and
“1” with equal probability. The characteristics of the channel and the timing at the receiver are such that the
receiver is able to obtain M ≥ 1 good samples in each bit slot. The good samples in a bit slot corresponding
to a “0” are all of the form
y [n] = V0 + w[n]
while in a bit slot corresponding to a “1” they are all of the form
y [n] = V1 + w[n] .
Here w[n] denotes a noise term that is a Gaussian random variable of mean 0 and variance σ 2 , and is
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This document was uploaded on 03/17/2014 for the course ELECTRICAL 6.02 at MIT.
- Fall '12