Is there a proof that equal bandwidths have equal information-carrying capacity?

1. What is the relationship between information capacity and bandwidth?
2. What happens if bandwidth becomes infinity in a communication channel?
3. What is the relationship between a signal's spectrum and its bandwidth?
4. Why do higher frequencies have more bandwidth?

What is the relationship between information capacity and bandwidth?

Bandwidth works on the same principle. The higher the capacity of the communication link, the more data can flow through it per second.

What happens if bandwidth becomes infinity in a communication channel?

You can easily see the fact that if you have infinite bandwidth B, then you could simultaneously transmit infinite different message signals mk(t) of each having a finite nonzero bitrate Rk (for example by just using a simple FDM scheme) the total of which would add up to inifnite bits per second at once which make ...

What is the relationship between a signal's spectrum and its bandwidth?

What is the relationship between a signal's spectrum and its bandwidth? The spectrum of a signal is the range of frequencies contained in the signal. The bandwidth is the difference between the lowest and highest frequency in the spectrum.

Why do higher frequencies have more bandwidth?

Higher-frequency signals make more crossings, and therefore can represent more symbols. And that is why millimeter wave signals have such high bandwidth: there are simply so many more zero crossings in any unit of time, compared to lower-frequency signals (600 MHz to 800 MHz or 2-GHz, for example).