1. 2. 3. Express S₁ (t) and s₂ (t) in (a), (b), and (c) in terms of s(t), where A, 0 ≤t

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Question
1.
2.
3.
Express S₁ (t) and s₂ (t) in (a), (b), and (c) in terms of s(t), where
A,
0 ≤t<T
Otherwise
$₁ (t)
0
EE6129 Wireless and Mobile Radio Systems
Continuous Assessment 2 (Homework Assignment)
Hence, determine if any of the signal sets given in (a), (b), and (c) are orthogonal over
[0, 7]. Explain your answers.
T
●
t
S₂ (t)
A
0
(a)
s(t) =
T
0,
$₁ (t)
0
-A
t
S₂ (t)
A
0
(b)
T
A
0
S₁ (t)
0
(c)
S₂ (t)
[3 marks]
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 hi and h2 for the two transmission
channels.
The scalar representation of the received signal is,
(h₁ + h₂) s(n) + w(n)
V
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 nsmitter antenna system, terms the probability of ror. 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.
[3 marks]
Write an essay on: "Advances in Technologies and Services from 4G to 5G Mobile
Networks". Your essay should be 2 to 4 pages using A4 size paper. The reference list
can be included in an appendix (not part of the 2 to 4 pages).
[9 marks]
Transcribed Image Text:1. 2. 3. Express S₁ (t) and s₂ (t) in (a), (b), and (c) in terms of s(t), where A, 0 ≤t<T Otherwise $₁ (t) 0 EE6129 Wireless and Mobile Radio Systems Continuous Assessment 2 (Homework Assignment) Hence, determine if any of the signal sets given in (a), (b), and (c) are orthogonal over [0, 7]. Explain your answers. T ● t S₂ (t) A 0 (a) s(t) = T 0, $₁ (t) 0 -A t S₂ (t) A 0 (b) T A 0 S₁ (t) 0 (c) S₂ (t) [3 marks] 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 hi and h2 for the two transmission channels. The scalar representation of the received signal is, (h₁ + h₂) s(n) + w(n) V 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 nsmitter antenna system, terms the probability of ror. 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. [3 marks] Write an essay on: "Advances in Technologies and Services from 4G to 5G Mobile Networks". Your essay should be 2 to 4 pages using A4 size paper. The reference list can be included in an appendix (not part of the 2 to 4 pages). [9 marks]
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