What is the Shannon capacity theorem?

Long before wireless devices became ubiquitous, a brilliant mathematician named Claude Shannon had already determined one of the fundamental limits they would face. The Shannon capacity theorem bounds the rate that information can be transmitted across a noisy channel.

Credits: Talking: Geoffrey Challen (Assistant Professor, Computer Science and Engineering, University at Buffalo). Producing: Greg Bunyea (Undergraduate, Computer Science and Engineering, University at Buffalo).

[StrangeMysteries]

this was very confusing...until i finally found this video. gem.

[samanosvasilias]

love the fact that my professor back in the day as talented and successful as he was, could not explain something as simple at this theorem.

[billthomas]

Thanks, nice simple explanation of complex idea

[ayushmanthapa_onion]

thank you very much. this was a good video!

[joemartin]

It s very use full and easy to understand

[jkli]

I mean... it is pretty easy to see why it is correct.
if you multiply and divide the inside by N, it becomes
C = B (log(N+S) - logN)

[princeofexcess]

Any actual examples of how to do the calculation? like what would be the units of the values we plug in etc.

[YoungsProton]

Question: Is it only for Wireless medium ? or applicable in wired medium as well??

[TERRY]

Good thing we invented Signal to Noise Voter comparator .., greatly reducing "N", allowing us greater "S" and more transference... Just a thought

[XTQ]

I think the Shannon limit should be characterized by a certain BER? I mean if one exceeds it how much degradation will take place?

[TheLvgk]

what does capacity signifies in the context of an FM radio ?

[nerdhound]

Great explanation! Bit bright inside is it?

[আব্দুল্লাহআলমাসুদরানা]

if Bandwidth (300-3200), and SNR 20, what is bandwidth here??

[melancholiac]

What, exactly, is bandwidth? I have had trouble understanding it all my life. Cannot find a satisfactory explanation anywhere.

[zes]

nst as interesx or not, ts not scaryx or part of lx, doesn't matter, no scaredx intimidax etc for such or anyx, nonerx

[Nahulanham]

So in term s of timespace physics, space is bandwidth and time equals purity of transmission.