Shannon Capacity & Water-Filling

C = B·log₂(1+SNR) is the fundamental limit. Water-filling optimally allocates power across parallel AWGN sub-channels: pour power until a common "water level" is reached, skipping channels with too much noise.

Total power P: 10

Bandwidth B (MHz): 1.0

SNR (dB) — single ch: 10

Sub-channel noise levels N_i (drag to adjust):

Total capacity (bits/s)—

Water level μ—

Active channels—

Equal-power C—

WF gain—