> > the higher the frequency, the higher the theoretical maximum bandwidth.
> This is not true and is unrelated to Shannon's theorem.
You are correct that it is unrelated to Shannon, but it is still true. The higher your carrier frequency the higher your theoretical maximum bandwidth (in the correct meaning, i.e occupied spectrum), you can never have negative frequencies, so modulation the maximum bandwidth you can modulate a 1Hz to is 2 Hz (modulation bandwidth extends to positive and negative frequencies). A 10 Hz carrier can be modulated to 20 Hz...
> Shannon's theorem shows us that wider bandwidths allow for larger bit rates. At higher frequencies our bandwidths can be bigger. For example a band from 1 to 2 terahertz is 1 terahertz wide, which is 1000 times larger than a band from 1 to 2 gigahertz (1 gigahertz wide).
So you are contradicting yourself? Not sure why you said the earlier statement is not treu?
My point was that Shannon's theorem is defined in terms of bandwidth. I think speaking about frequency is misleading, even though it's true when discussing carrier/central frequencies. I shouldn't have said OP's statement was untrue, since it's strictly true as you say, that higher frequencies allow for wider bandwidth. They just don't have to have wider bandwidths, which I was trying to make clear. Thanks for the correction though!
I think this all boils down to the confusion because people use bandwidth and capacity to really mean throughput. Talk about the capacity of a your internet connection to a communication theorist if you want to start a rant.
> This is not true and is unrelated to Shannon's theorem.
You are correct that it is unrelated to Shannon, but it is still true. The higher your carrier frequency the higher your theoretical maximum bandwidth (in the correct meaning, i.e occupied spectrum), you can never have negative frequencies, so modulation the maximum bandwidth you can modulate a 1Hz to is 2 Hz (modulation bandwidth extends to positive and negative frequencies). A 10 Hz carrier can be modulated to 20 Hz...
> Shannon's theorem shows us that wider bandwidths allow for larger bit rates. At higher frequencies our bandwidths can be bigger. For example a band from 1 to 2 terahertz is 1 terahertz wide, which is 1000 times larger than a band from 1 to 2 gigahertz (1 gigahertz wide).
So you are contradicting yourself? Not sure why you said the earlier statement is not treu?