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Over a certain binary communication channel (BCC), symbol ‘O' is transmitted with a probability of 0.4 and symbol ‘1’ is transmitted with a probability of 0.6. The probability of error when '1' is transmitted is 10-4 and that when a ‘0' is transmitted is 10-6.
What is the probability of error in the channel?
  • a)
    0.604 x 10-4
  • b)
    0.302 x 10-4
  • c)
    0.106 x 10-4
  • d)
    0.204 x 10-4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Over a certain binary communication channel (BCC), symbol ‘O'...
BCC with different probabilities:

According to question,

Here,  P(Y0/X0) =  Probability of error when ‘1 ’ is transmitted
P(Y1/X0) = Probability of error when ‘0 ’ is transmitted
∴ Probability of error in channel

or, P(E) = 0.604 x 10-4
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Most Upvoted Answer
Over a certain binary communication channel (BCC), symbol ‘O'...
Errors can occur. A symbol error is when the received symbol is different from the transmitted symbol. This can occur due to various reasons such as noise, interference, and distortion in the channel.

To reduce symbol errors, various techniques can be used such as error-correcting codes, signal processing techniques, and modulation schemes. Error-correcting codes are used to add redundancy to the transmitted symbols, which can be used to detect and correct errors at the receiver. Signal processing techniques such as equalization, filtering, and channel coding can be used to improve the signal quality and reduce noise and interference in the channel. Modulation schemes such as phase-shift keying (PSK), amplitude-shift keying (ASK), and frequency-shift keying (FSK) can be used to improve the robustness of the communication system against noise and interference.

Overall, reducing symbol errors in a BCC is critical for ensuring reliable and efficient communication. Various techniques can be used to achieve this, and the choice of technique depends on the specific requirements and characteristics of the communication system.
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Over a certain binary communication channel (BCC), symbol ‘O' is transmitted with a probability of 0.4 and symbol ‘1’ is transmitted with a probability of 0.6. The probability of error when '1' is transmitted is 10-4 and that when a ‘0' is transmitted is 10-6.What is the probability of error in the channel?a)0.604 x 10-4b)0.302 x 10-4c)0.106 x 10-4d)0.204 x 10-4Correct answer is option 'A'. Can you explain this answer?
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Over a certain binary communication channel (BCC), symbol ‘O' is transmitted with a probability of 0.4 and symbol ‘1’ is transmitted with a probability of 0.6. The probability of error when '1' is transmitted is 10-4 and that when a ‘0' is transmitted is 10-6.What is the probability of error in the channel?a)0.604 x 10-4b)0.302 x 10-4c)0.106 x 10-4d)0.204 x 10-4Correct answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Over a certain binary communication channel (BCC), symbol ‘O' is transmitted with a probability of 0.4 and symbol ‘1’ is transmitted with a probability of 0.6. The probability of error when '1' is transmitted is 10-4 and that when a ‘0' is transmitted is 10-6.What is the probability of error in the channel?a)0.604 x 10-4b)0.302 x 10-4c)0.106 x 10-4d)0.204 x 10-4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Over a certain binary communication channel (BCC), symbol ‘O' is transmitted with a probability of 0.4 and symbol ‘1’ is transmitted with a probability of 0.6. The probability of error when '1' is transmitted is 10-4 and that when a ‘0' is transmitted is 10-6.What is the probability of error in the channel?a)0.604 x 10-4b)0.302 x 10-4c)0.106 x 10-4d)0.204 x 10-4Correct answer is option 'A'. Can you explain this answer?.
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