[dr_dshiv]

That seems like a strong claim. Any proof?

[SAI_Peregrinus]

Sure. https://people.math.harvard.edu/~ctm/home/text/others/shanno...

Particularly part 4, The Continuous Channel. No discrete symbols there!

[dr_dshiv]

Maybe I’m not reading it properly, but in part 5, where he deals with transmission of continuous signals he doesn’t use his entropy formulation. He uses a distance metric, showing the difference between the sent signal and the received.