A polar pattern’s squared magnitude equals the transform of its autocorrelation
Evidence
- The Wiener-Khinchin Theorem: The Wiener-Khinchin theorem states that the squared Fourier transform magnitude of a sequence, in the spatial domain, that is its polar pattern, is equal to the Fourier transform of its autocovariance (or autocorrelation function). — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2879
Categorization
- DEFINE: Gives the spatial-domain statement of the Wiener-Khinchin theorem, linking autocovariance directly to radiated power pattern.