Five classes of crystal arrays for blind decorrelation of diffuse noise

In this paper, we mathematically discuss the sensor arrangements for decorrelating diffuse noise on channels without the knowledge of the coherence function, denoted as blind decorrelation, which is useful for estimating target power spectrum and designing a post filter. As a necessary condition, we show that a set of distances from the sensor i to others has to be identical for any i. Based on it, five classes of array geometries with explicit basis-transfer matrices for the decorrelation are presented.