wireless communication

homework_6.pdf

Fairleigh Dickinson University

Gildart Haase School of Computer Sciences and Engineering

EENG 4347 / EENG 7738 Wireless Communication

Homework #6

For All Students:

1. (50 points) We consider a Rayleigh fading signal. Suppose that a single branch

receiver has a 10% chance of being 5 dB below a certain SNR threshold γo.

a) Determine the mean of the Rayleigh fading signal as reference to the threshold

mentioned in the above, i.e., γo.

b) What is the probability that the receiver signal will be 8 dB below γo if

b1) a single branch receiver

b2) a two branch selection diversity receiver

b3) a three branch selection diversity receiver, or

b4) a four branch selection diversity receiver

is used, respectively.

2. (50 points) Consider a two-tap adaptive equalizer shown below, where

)/2cos( Nkyk  and )/2sin(10 Nkdk  with N>2. Find the minimum MSE

and the corresponding equalizer weights 1,wwo .

1Z

ky 1ky

0w 1 w

+ kx

+ -