hw5_2010 - EE 5505 Wireless Communication Homework 5 Due...

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EE 5505 Prof. Jindal Wireless Communication March 2, 2010 Homework 5 Due: Tuesday, March 9, 11:15 AM Please turn in your MATLAB scripts in addition to your solutions and plots. 1. In this problem we will investigate performance with simple ARQ (i.e., packets are re- transmitted when they are decoded incorrectly), and particularly will focus on finding the transmission rate/packet error probability that maximizes the goodput when ARQ is used. For the sake of simplicity we will focus on a scenario where there is no time or frequency diversity during transmission of a codeword (i.e., an ARQ round). (a) The outage probability (i.e., the probability a packet is decoded correctly) for transmitted rate R (with no diversity) is given by: P out ( R ) = P £ log 2 (1 + | h | 2 SNR) < R / Assuming Rayleigh fading, show that the transmitted rate that achieves an outage probability equal to ² is: R ² = log 2 ± 1 + log e ± 1 1 - ² SNR . (1) (b) In class, we found that the long-term average (successful) rate with simple ARQ
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hw5_2010 - EE 5505 Wireless Communication Homework 5 Due...

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