Converting dB to a power ratio

• The equation for dB is:

dB = 10 log10 P/N

dB/10 = log10 P/N

P/N = 10 dB/10

• This can be substituted into Shannon’s Theorem as follows:

bps = BW log2 (1 + P/N)

bps = BW log2 (1 + 10 dB/10)

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