Quadratic residue sequences generate diffusor well depths using modular arithmetic
Evidence
Clearly effective diffusion is a difficult thing to achieve in an ad hoc manner. Curved and angled structures can help at mid and high frequencies, and at very high frequencies, greater than about 4 kHz, the natural rough textures of materials such as brick and rough-cut stone are effective. Because of the need to achieve well-defined diffusion characteristics, diffusion structures based on patterns of wells whose depths are formally defined by an appropriate mathematical sequence have been proposed and used (Schroeder, 1975; D’Antonio and Konnert, 1984). — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2072 (
#expands, via linked claim)
Categorization
- XREF: connects to: m-sequences offer flat Fourier properties suited to diffusion design; Modern acoustic diffusion uses mathematically structured well patterns — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2072; Sequences whose autocovariance approximates a delta function make effective sound diffusers (+1 more)
Broader Connections
- m-sequences offer flat Fourier properties suited to diffusion design
#corroborates(0.85) - Sequences whose autocovariance approximates a delta function make effective sound diffusers
#corroborates(0.82) - Modern acoustic diffusion uses mathematically structured well patterns
#expands(0.78) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2072 - Binary amplitude sequences can represent reflection and absorption in diffuser design
#expands(0.75)