How Is Shannon's Capacity Formula Geometrically Proven?

[persist911]

I was in taught howw to proves the shannons capacity formula using by takng into conideration a n-hyperspace of uncertanity where the noise resides. It more like the geomteric proof of Shannon formula

c = b*log(1+s/n)
I have two problems
1) he modeled signals like a round circle and noise around it like a round circle. and he said the sphere of uncertanity must not overlap. Is it more like a wireless networks with noise around the environment? I did like an insight into this proof

2) I don't seem to understand the Nyquist sampling theorem of n=2BT it is like the concepts of frequency has been Muddled Up with the perioid. I know the realtionship between frequency f = 1/t but when sampled time concepts come into play I am confused could anyone shed more light on this.

Thanks I am sorry my question is kind of long .

 

[anorlunda]

2) I don't seem to understand the Nyquist sampling theorem of n=2BT it is like the concepts of frequency has been Muddled Up with the perioid. I know the realtionship between frequency f = 1/t but when sampled time concepts come into play I am confused could anyone shed more light on this.

You must have missed the idea of aliasing, and thus the Nyquist sample frequency. https://en.wikipedia.org/wiki/Nyquist_frequency