[TreeRingCounter]

Take the fourier transform of a clipped signal - it will have high frequency components.

In general, the more pointy edges you introduce to a waveform, the more high frequency artifacts you get.

This aspect of pontryagin duality (narrow in one domain means wide in the other) is also what underlies the heisenberg uncertainty principle. If you "hard clip" a photon's position (with a slit) you get a lot of frequency domain (momentum) noise, leading to a spread-out beam.