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A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.?
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A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR...
Capacity Calculation:
Given: Bandwidth (B) = 3400 Hz, SNR = 30 dB
- The capacity of a channel can be calculated using the Shannon Capacity formula:
C = B * log2(1 + SNR)
- Substituting the given values, we get:
C = 3400 * log2(1 + 10^(30/10))
C ≈ 3400 * log2(1001)
C ≈ 3400 * 9.97
C ≈ 33,898 bps or 33.9 Kbps
Minimum SNR Calculation for 4.8 Kbps data:
Given: Data Rate (R) = 4.8 Kbps
- Rearranging the Shannon Capacity formula to solve for SNR, we get:
SNR = 2^(R/B) - 1
- Substituting the given values, we get:
SNR = 2^(4.8/3400) - 1
SNR ≈ 2^(0.00141) - 1
SNR ≈ 1.003 - 1
SNR ≈ 0.003
Therefore, the minimum SNR required on the channel to transmit 4.8 Kbps of data is approximately 0.003 or 30 dB.
By following the above calculations, we can determine the capacity of a voice grade channel and the minimum SNR required for a specific data transmission rate.
Given: Bandwidth (B) = 3400 Hz, SNR = 30 dB
- The capacity of a channel can be calculated using the Shannon Capacity formula:
C = B * log2(1 + SNR)
- Substituting the given values, we get:
C = 3400 * log2(1 + 10^(30/10))
C ≈ 3400 * log2(1001)
C ≈ 3400 * 9.97
C ≈ 33,898 bps or 33.9 Kbps
Minimum SNR Calculation for 4.8 Kbps data:
Given: Data Rate (R) = 4.8 Kbps
- Rearranging the Shannon Capacity formula to solve for SNR, we get:
SNR = 2^(R/B) - 1
- Substituting the given values, we get:
SNR = 2^(4.8/3400) - 1
SNR ≈ 2^(0.00141) - 1
SNR ≈ 1.003 - 1
SNR ≈ 0.003
Therefore, the minimum SNR required on the channel to transmit 4.8 Kbps of data is approximately 0.003 or 30 dB.
By following the above calculations, we can determine the capacity of a voice grade channel and the minimum SNR required for a specific data transmission rate.
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A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.?
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A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.?.
A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A voice grade telephone channel has a bandwidth of 3400Hz . If the SNR on the channel is 30 db , determine the capacity of the channel. If the above channel is to be used to transmit 4.8Kbps of data determine the minimum SNR required on the channel.?.
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