File:Natural and sequency ordered Walsh 16.svg

Description

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 ,
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:
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Natural%20and%20sequency%20ordered%20Walsh%2016.svgCategory:PD-self#Natural%20and%20sequency%20ordered%20Walsh%2016.svg
Category:Matrix multiplication including Walsh matrix Category:Permutation matrices of 4-bit Walsh permutations Category:Walsh matrix of order 16; sequency ordered Category:Order theory
Category:Matrix multiplication including Walsh matrix Category:Order theory Category:PD-self Category:Permutation matrices of 4-bit Walsh permutations Category:Self-published work Category:Walsh matrix of order 16; sequency ordered