Abstract :
An algorithm for a fast matrix transform of order twelve was given by Pratt [1]. The resulting transform matrix consists of plus and minus ones, is in order of sequency, but is not orthogonal, and hence is not a Hadamard matrix. This note proves it is impossible to construct a Hadamard matrix of order twelve with this increasing sequency property and gives a corrected algorithm of order twelve.
Keywords :
Algorithm, data reduction, Hadamard matrix, Hadamard transform, matrix factorization.; Data handling; Fourier transforms; Frequency; Algorithm, data reduction, Hadamard matrix, Hadamard transform, matrix factorization.;
