A sequence with delta-function autocovariance produces uniform-magnitude scattering.

Evidence

The Wiener-Khinchin theorem states that the squared Fourier transform magnitude of a sequence is equal to the Fourier transform of its autocovariance (or autocorrelation function). Therefore, sequences whose autocovariance either is a delta function or close to a delta function will form good diffusers, because the Fourier transform magnitude of a delta function is uniform. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2900

Categorization

• DEFINE: Names and states the Wiener-Khinchin theorem, the theoretical basis for designing diffusers.
• XREF: Connects directly to later treatments of autocorrelation and random noise in psychoacoustics, where autocorrelation determines pitch perception of noisy sounds.