Q166
A single bit, equally likely to be 0 and 1, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density N0/2. Binary signaling, with 0 → p(t) and 1 → q(t), is used for the transmission, along with an optimal receiver that minimizes the bit-error probability. Let ϕ1(t), ϕ2(t), form an orthonormal signal set. If we choose p(t) = ϕ1(t) and q(t) = -ϕ1(t), we would obtain a certain bit-error probability Pb. If we keep p(t) = ϕ1(t), but take q(t) = E ϕ2(t), for what value of E would we obtain the same bit-error probability Pb?
A single bit, equally likely to be 0 and 1, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density N0/2. Binary signaling, with 0 → p(t) and 1 → q(t), is used for the transmission, along with an optimal receiver that minimizes the bit-error probability.
Let ϕ1(t), ϕ2(t), form an orthonormal signal set. If we choose p(t) = ϕ1(t) and q(t) = -ϕ1(t), we would obtain a certain bit-error probability Pb. If we keep p(t) = ϕ1(t), but take q(t) = ϕ2(t), for what value of E would we obtain the same bit-error probability Pb?
Let ϕ1(t), ϕ2(t), form an orthonormal signal set. If we choose p(t) = ϕ1(t) and q(t) = -ϕ1(t), we would obtain a certain bit-error probability Pb. If we keep p(t) = ϕ1(t), but take q(t) = ϕ2(t), for what value of E would we obtain the same bit-error probability Pb?
A.
0
B.
3
AnswerC.
1
D.
2
Answer: Option B
Solution
Answer: Option B
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