E E 1-€ 0 1-€ FIGURE 4.4 Transition probability diagram of binary symmetric channel. EXAMPLE 4.4 In a binary symmetric communication (BSC) channel, the input bits transmitted over the channel are either 0 or 1 with probabilities p and 1-p, respectively. Due to channel noise, errors are made. As shown in Figure 4.4, the channel is assumed to be symmetric, which means the probability of receiving 1 when 0 is transmitted is the same as the probability of receiving 0 when 1 is transmit- ted. The conditional probabilities of error are assumed to be each e. Determine the average prob- ability of error, also known as the bit error rate, as well as the a posteriori probabilities.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter17: Commercial And Industrial Air-conditioning Control Systems
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FIGURE 4.4 Transition probability diagram of binary symmetric channel.
Transcribed Image Text:E E 1-€ 0 1-€ FIGURE 4.4 Transition probability diagram of binary symmetric channel.
EXAMPLE 4.4
In a binary symmetric communication (BSC) channel, the input bits transmitted over the channel
are either 0 or 1 with probabilities p and 1-p, respectively. Due to channel noise, errors are made.
As shown in Figure 4.4, the channel is assumed to be symmetric, which means the probability of
receiving 1 when 0 is transmitted is the same as the probability of receiving 0 when 1 is transmit-
ted. The conditional probabilities of error are assumed to be each e. Determine the average prob-
ability of error, also known as the bit error rate, as well as the a posteriori probabilities.
Transcribed Image Text:EXAMPLE 4.4 In a binary symmetric communication (BSC) channel, the input bits transmitted over the channel are either 0 or 1 with probabilities p and 1-p, respectively. Due to channel noise, errors are made. As shown in Figure 4.4, the channel is assumed to be symmetric, which means the probability of receiving 1 when 0 is transmitted is the same as the probability of receiving 0 when 1 is transmit- ted. The conditional probabilities of error are assumed to be each e. Determine the average prob- ability of error, also known as the bit error rate, as well as the a posteriori probabilities.
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