igure 1 Transmitter ReceiveDeaided signal Switch

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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NO MATTER HOW MUCH YOU DO IN 30 MINUTES AND SEND!!!

Figure I
ny (t)
Transmitter
RegiverDecided signal
Switch
Transcribed Image Text:Figure I ny (t) Transmitter RegiverDecided signal Switch
The block diagram of a binary antipodal signaling system, with the signal set of
{s1(t) = g(t), s2(t) = -g(t)} is given in Figure 1 and g(t) has an energy equal to Eg. The
receiver makes its decision based on the observation of the two received signals r, (t) and
r2 (t). The lower branch has a switch which can be open or closed randomly, where P(open) =
0.25 and P(closed) = 0.75. The noise processes are stationary, zero-mean, independent, white,
and Gaussian processes each with a power spectral density of
2
a) If the receiver does not know the position of the switch, what is the optimal decision rule
in terms of r1,r2, Eg and No? You do not have to expand and simplify your expression.
b) If the receiver knows the position of the switch, what is the optimal decision rule in terms
of r1, r2, Eg and No? You do not have to expand and simplify your expression.
Transcribed Image Text:The block diagram of a binary antipodal signaling system, with the signal set of {s1(t) = g(t), s2(t) = -g(t)} is given in Figure 1 and g(t) has an energy equal to Eg. The receiver makes its decision based on the observation of the two received signals r, (t) and r2 (t). The lower branch has a switch which can be open or closed randomly, where P(open) = 0.25 and P(closed) = 0.75. The noise processes are stationary, zero-mean, independent, white, and Gaussian processes each with a power spectral density of 2 a) If the receiver does not know the position of the switch, what is the optimal decision rule in terms of r1,r2, Eg and No? You do not have to expand and simplify your expression. b) If the receiver knows the position of the switch, what is the optimal decision rule in terms of r1, r2, Eg and No? You do not have to expand and simplify your expression.
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