Patent ID: 6990506

Claim:
A system for processing data, comprising: a processor using a transform matrix: T 16 = [ t 0 t 1 t 2 t 3 t 4 t 5 t 6 t 7 t 8 t 9 t 10 t 11 t 12 t 13 t 14 t 15 ] = [ n 0 n 0 n 0 n 0 n 0 n 0 n 1 n 3 n 5 n 7 n 9 n 11 n 2 n 6 n 10 n 14 - n 14 - n 10 n 3 n 9 n 15 - n 11 - n 5 - n 1 n 4 n 12 - n 12 - n 4 - n 4 - n 12 n 5 n 15 - n 7 - n 3 - n 13 n 9 n 6 - n 14 - n 2 - n 10 n 10 n 2 n 7 - n 11 - n 3 n 15 n 1 n 13 n 8 - n 8 - n 8 n 8 n 8 - n 8 n 9 - n 5 - n 13 n 1 - n 15 - n 3 n 10 - n 2 n 14 n 6 - n 6 - n 14 n 11 - n 1 n 9 n 13 - n 3 n 7 n 12 - n 4 n 4 - n 12 - n 12 n 4 n 13 - n 7 n 1 - n 5 n 11 n 15 n 14 - n 10 n 6 - n 2 n 2 - n 6 n 15 - n 13 n 11 - n 9 n 7 - n 5 ⁢ n 0 n 0 n 13 n 15 - n 6 - n 2 - n 7 - n 13 n 12 n 4 n 1 n 11 n 14 - n 6 - n 5 - n 9 - n 8 n 8 n 11 n 7 n 2 - n 10 n 15 - n 5 - n 4 n 12 - n 9 n 3 n 10 - n 14 n 3 - n 1 ⁢ ⁢ ⁢ n 0 n 0 n 0 n 0 n 0 n 0 n 0 n 0 - n 15 - n 13 - n 11 - n 9 - n 7 - n 5 - n 3 - n 1 - n 2 - n 6 - n 10 - n 14 n 14 n 10 n 6 n 2 n 13 n 7 n 1 n 5 n 11 - n 15 - n 9 - n 3 n 4 n 12 - n 12 - n 4 - n 4 - n 12 n 12 n 4 - n 11 - n 1 - n 9 n 13 n 3 n 7 - n 15 - n 5 - n 6 n 14 n 2 n 10 - n 10 - n 2 - n 14 n 6 n 9 n 5 - n 13 - n 1 - n 15 n 3 n 11 - n 7 n 8 - n 8 - n 8 n 8 n 8 - n 8 - n 8 n 8 - n 7 - n 11 n 3 n 15 - n 1 n 13 n 5 - n 9 - n 10 n 2 - n 14 - n 6 n 6 n 14 - n 2 n 10 n 5 - n 15 - n 7 n 3 - n 13 - n 9 n 1 - n 11 n 12 - n 4 n 4 - n 12 - n 12 n 4 - n 4 n 12 - n 3 n 9 - n 15 - n 11 n 5 - n 1 n 7 - n 13 - n 14 n 10 - n 6 n 2 - n 2 n 6 - n 10 n 14 n 1 - n 3 n 5 - n 7 n 9 - n 11 n 13 - n 15 ] to transform the data, where: n 0 =17, n 1 =22, n 2 =24, n 3 =28, n 4 =23, n 5 =12, n 6 =20, n 7 =20, n 8 =17, n 9 =12, n 10 =12, n 11 =16, n 12 =7, n 13 =8, n 14 =6, and n 15 =6.