File:Binary Walsh matrix 16; sequency.svg

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Binary Walsh matrix in sequency order (compare this file) as a product

  • White (0) and red (1): result with modulo 2 operations
  • Gray numbers: result with normal operations

The two matrices used as factors (which are transposed to each other) correspond to the same Walsh permutation wp(6,9,1,10) = (0,6,9,15, 1,7,8,14, 10,12,3,5, 11,13,2,4).
All 48 Walsh permutations whose compression vectors are permutations of (1,6,9,10) or (2,5,13,14) could have been used instead.
wp(6,9,1,10) was chosen, because it is the only one with a symmetric compression matrix (shown in the top left corner).

It is the square root of wp(8,12,6,3), which permutes the natural ordered into the sequency ordered Hadamard matrix.
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Watchduck
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current22:45, 11 October 2013Thumbnail for version as of 22:45, 11 October 2013425 × 425 (334 KB)Watchduck (talk | contribs){{Information |Description ={{en|1=Upload forms suck.}} |Source ={{own}} |Author =Mate2code |Date = |Permission = |other_versions = }}

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