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What is snr?

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Anonymous

15y ago
Updated: 8/17/2019

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15y ago

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Is channel capacity related to snr?

Yes, channel capacity is directly related to the signal-to-noise ratio (SNR). According to the Shannon-Hartley theorem, the maximum data rate that can be transmitted over a communication channel is proportional to the logarithm of the SNR. Higher SNR allows for more reliable transmission and thus increases the channel capacity. Conversely, lower SNR results in reduced capacity due to increased noise interference.


Given a channel with intended capacity of 100Mbps the bandwidth of the channel is 20 MHz What signal to noise ratio is required to achieve this capacity?

Using the Shanon Capacity formula,C = B log2 (1+ SNR)Where B = 20 X 106 HzIn order to calculate C (channel capacity) one must be mindful that 1Kbps = 1024 bps, NOT 1000 bps. Having this in mind,C = 100 X 1.024 * 106 bps = 1.024 * 108Substituting C, B, and solving for SNR:1.024 * 108 = 20* 106 * log2 (1+SNR)1.024 * 102 = 20 * log2 (1+SNR)5.12 = log2 (1+SNR)25.12 = 1 + SNR2 5.12 - 1= SNRSNR = 33.8if in decibels = 10 log (33.8) = 15.29 dB


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