Consider the following signal space constellation. The two orthonormal basis functions are y₁(t) = 10 cos(2710°t) and ⁄₂(t)=10sin(2710°t), where 0≤t≤10 second. Assume the AWGN power spectral density is 10-6 watts per Herz. a. What is the bit rate R₁ ? b. If a = 0.005, what is the bit error rate P? c. Find the minimum value a that guarantees bit error rate P ≤10-³. What is the signal-to-noise ratio in terms of dB in this case? -a a + -a

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2. Consider the following signal space constellation. The two orthonormal basis
functions are y₁ (t) = 10 cos(2710°t) and y₂(t)=10 sin(2710˚t), where 0≤t≤10
second. Assume the AWGN power spectral density is 10-6 watts per Herz.
a. What is the bit rate R ?
b. If a = 0.005, what is the bit error rate P?
B
c.
B
Find the minimum value a that guarantees bit error rate PÅ ≤10-³. What is
the signal-to-noise ratio in terms of dB in this case?
↑
-a
+
-a
-6
a
Transcribed Image Text:2. Consider the following signal space constellation. The two orthonormal basis functions are y₁ (t) = 10 cos(2710°t) and y₂(t)=10 sin(2710˚t), where 0≤t≤10 second. Assume the AWGN power spectral density is 10-6 watts per Herz. a. What is the bit rate R ? b. If a = 0.005, what is the bit error rate P? B c. B Find the minimum value a that guarantees bit error rate PÅ ≤10-³. What is the signal-to-noise ratio in terms of dB in this case? ↑ -a + -a -6 a
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