Upon graduating from EEE, you took up a career with a wireless technology company. One of your colleagues proposed a system design and your supervisor wanted you to analyse it. The design uses two antennas to transmit the same symbol and one antenna to receive the signal. The information below were also given to you for the analysis. Transmitted symbol, s(n), is equally likely to be 1 or -1. Slow flat fading with fixed channel gains h₁ and h2 for the two transmission channels. The scalar representation of the received signal is, E (h₁ + h₂) ·s(n) + w(n) where E is the total transmitted energy per symbol, and w(n) is additive white Gaussian noise with zero mean and variance ♂. In your analysis, you are required to determine the condition (mathematical inequality) for h₁ and h₂, for the performance of the proposed system to be better than that of a single transmitter antenna system, in terms of the probability of error. You may assume the probability of error to be Q (√2 × SNR), where SNR is the Signal to Noise Ratio. For the single transmitter antenna system, you may assume the same noise model and that the channel gain is h₁.
Upon graduating from EEE, you took up a career with a wireless technology company. One of your colleagues proposed a system design and your supervisor wanted you to analyse it. The design uses two antennas to transmit the same symbol and one antenna to receive the signal. The information below were also given to you for the analysis. Transmitted symbol, s(n), is equally likely to be 1 or -1. Slow flat fading with fixed channel gains h₁ and h2 for the two transmission channels. The scalar representation of the received signal is, E (h₁ + h₂) ·s(n) + w(n) where E is the total transmitted energy per symbol, and w(n) is additive white Gaussian noise with zero mean and variance ♂. In your analysis, you are required to determine the condition (mathematical inequality) for h₁ and h₂, for the performance of the proposed system to be better than that of a single transmitter antenna system, in terms of the probability of error. You may assume the probability of error to be Q (√2 × SNR), where SNR is the Signal to Noise Ratio. For the single transmitter antenna system, you may assume the same noise model and that the channel gain is h₁.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Transcribed Image Text:Upon graduating from EEE, you took up a career with a wireless technology company.
One of your colleagues proposed a system design and your supervisor wanted you to
analyse it. The design uses two antennas to transmit the same symbol and one antenna
to receive the signal. The information below were also given to you for the analysis.
Transmitted symbol, s(n), is equally likely to be 1 or -1.
Slow flat fading with fixed channel gains h₁ and h2 for the two transmission
channels.
The scalar representation of the received signal is,
E
(h₁ + h₂) ·s(n) + w(n)
where E is the total transmitted energy per symbol, and w(n) is additive white
Gaussian noise with zero mean and variance ♂.
In your analysis, you are required to determine the condition (mathematical inequality)
for h₁ and h₂, for the performance of the proposed system to be better than that of a
single transmitter antenna system, in terms of the probability of error. You may assume
the probability of error to be Q (√2 × SNR), where SNR is the Signal to Noise Ratio.
For the single transmitter antenna system, you may assume the same noise model and
that the channel gain is h₁.
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