In the 0≤ t ≤ T time range, the transmitting signals of the binary communication so (t) = Asin oot, s₁ (t) = Asin(@t+n) where the system are amplitude A and frequency We of the signal are known, and the prior probability of sending the two signals is assumed to be equal. The binary emission signal has a Gaussian white noise n (t) with mean 0 and power spectral density of No/2 superimposed in the channel transmission.

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In the 0≤ t ≤ I time range, the transmitting signals of the binary communication
so (t) = Asinot,
s₁ (t) = Asin(@t+n)
system are
amplitude A and frequency We of the signal are known, and the prior probability of sending
the two signals is assumed to be equal. The binary emission signal has a Gaussian white noise
n (t) with mean 0 and power spectral density of No / 2 superimposed in the channel
transmission.
(1) try to determine the signal detection judgment form;
(2) find the average error probability expression.
where the
Transcribed Image Text:In the 0≤ t ≤ I time range, the transmitting signals of the binary communication so (t) = Asinot, s₁ (t) = Asin(@t+n) system are amplitude A and frequency We of the signal are known, and the prior probability of sending the two signals is assumed to be equal. The binary emission signal has a Gaussian white noise n (t) with mean 0 and power spectral density of No / 2 superimposed in the channel transmission. (1) try to determine the signal detection judgment form; (2) find the average error probability expression. where the
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