Bandwidth

The relation between throughput, SNR and bits per channel use

The relation between throughput, SNR and bits per channel use
  1. What is the relation between bandwidth and SNR?
  2. How is Shannon capacity related to SNR?
  3. What will be the values of SNRdb for a noiseless channel?

What is the relation between bandwidth and SNR?

At a SNR of 0 dB (Signal power = Noise power) the Capacity in bits/s is equal to the bandwidth in hertz. If the SNR is 20 dB, and the bandwidth available is 4 kHz, which is appropriate for telephone communications, then C = 4000 log2(1 + 100) = 4000 log2 (101) = 26.63 kbit/s.

How is Shannon capacity related to SNR?

The Shannon capacity theorem defines the maximum amount of information, or data capacity, which can be sent over any channel or medium (wireless, coax, twister pair, fiber etc.). What this says is that higher the signal-to-noise (SNR) ratio and more the channel bandwidth, the higher the possible data rate.

What will be the values of SNRdb for a noiseless channel?

SNR = Infinite, SNRdb = Infinite.

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