Patent ID: 7274622

Claim:
A method for calculating a directivity response from a plurality of sensor output signals of an N−1 element pressure-vector sensor line array, comprising the steps of: performing a non-linear combination of the sensor output signal of each of the N−1 array elements in order to form a corresponding mathematical series [S 1 , S 2 , S 3 , . . . S N ] of N values, which serve as a basis for an N dimensional mathematical Euclidean space; transforming said mathematical series [S 1 , S 2 , S 3 , . . . S N ] of N values according to a mathematical transformation matrix into a transformed series [ U 1 U 2 ⋮ U N ] = [ T 11 T 12 … T 14 T 21 T 22 … T 24 ⋮ ⋮ ⋮ ⋮ T N1 T N2 … T NN ] ⁡ [ S 1 S 2 ⋮ S N ] of N values; weighting said transformed series [U 1 , U 2 , U 3 , . . . U N ] into a weighted transformed series [B 1 U 1 , B 2 U 2 , B 3 U 3 , . . . B N U N ] of N values; and summing the N values in said weighted transformed series according to the formula ∑ n = 0 N - 1 ⁢ B n ⁢ U n to create a single value that is the array directivity response of said N−1 element pressure-vector sensor line array.