Sunday, June 05, 2022

Sing a Song of Spectrum

Is 100 MHz of radio spectrum a lot? It depends on whether it’s at 200 MHz (say, 200-300 MHz) where it’s a significant chunk of the entire band, or at 20 GHz (say, 20.0-20.2 GHz) where it’s just a sliver. Musicians don’t encounter this puzzle because they express intervals in terms of frequency ratios. Thus, a soprano can sing the same song as a bass, though at a much higher pitch; the same notes but transposed upwards. 

When we think about spectrum allocations, we shouldn’t think about raw hertz, but rather about the “song” that a given number of hertz allows an operator “to sing.” (H/t Nathan Simington, Ofcom/William Webb, and SPT; see endnote [1].)