Shannon's Formula c = b log2 (1 + s)

[Radiatedtheory18]

im trying to understand shannon's formula for some time now. i have tryed to theorise if this is correct the way i have worked out an example using the formula below.

c = b x log₂ (1 + s)

for example

signal to noise ratio 127
b = 3000 b = bandwidth
as shannon's formula states to add one to the signal to noise ratio to make it 128

Log 2 = 2⁷= 128

then we multiply the log₂ by the bandwidth to get

21000 Bps

C=BXL

in formula the answer

21000 = 3000 x log₂

is that correct?

 

[selfAdjoint]

You get the right answer, but your presentation is confusing. You should state clearly that the log of 128 to the base 2 is 7, and then show the multiplication of that 7 by 3000 to give the answer 21000.

The way you have it now gives a first impression of being wrong.

 

[Radiatedtheory18]

128 = log to the base 2 is 2⁷

7 x 3000 = 21000bps