Keywords: Natural and sequency ordered Walsh 16.svg Permutation of the natural ordered Hadamard matrix into the sequency ordered Hadamard matrix of order 16 The former is usually referred to as Walsh matrix but sometimes also the latter The number of sign changes per row in the natural ordered matrix is <math>wp 15 7 3 1 ~ ~ 0 15 ~~7 8 ~~3 12 ~~4 11 ~~1 14 ~~6 9 ~~2 13 ~~5 10 </math> <br> in the sequency ordered matrix the number of sign changes is consequtive The permutation is the product of the Gray code permutation and the Bit-reversal permutation 500px own Mate2code Matrix multiplication Permutation matrices of 4-bit Walsh permutations Walsh matrix of order 16; sequency ordered Order theory |