Sequences whose autocovariance approximates a delta function make effective sound diffusers
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: The Wiener-Khinchin theorem is being introduced and applied to acoustic diffuser design.
- corroborated: 2 independent passages support this claim — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2900
- XREF: connects to: Modern acoustic diffusion uses mathematically structured well patterns — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2072; Quadratic residue sequences generate diffusor well depths using modular arithmetic; Binary amplitude sequences can represent reflection and absorption in diffuser design (+1 more)
Related
- Quadratic residue sequences generate diffusor well depths using modular arithmetic (similarity 0.91)
- Modern acoustic diffusion uses mathematically structured well patterns (similarity 0.83)
- Binary amplitude sequences can represent reflection and absorption in diffuser design (similarity 0.79)