Hi

Thanks for the correction, and I totally agree with stamping out incorrect 
information. I got those figures from a web-site that purported to be the "Bees 
Knees", but unfortunately there's more and more sites with incorrect 
information.

Wikapedea is by far the worst!!!

Your right about there being more to learn about UHJ. I did mention the phase 
issue I found with decoded UHJ material that impairs the front image stability, 
but nobody took me up on it.................



  > This sqrt(2) factor is an endless source of confusion. It seems silly that 
W should be divided by sqrt(2) in recoding to restore its value, which was 
multiplied by this in the encode to UHJ.

  This sqrt(2) factor is WRONG.  Where do people come up with such myths?

  The Encoding eqns on http://en.wikipedia.org/wiki/Ambisonic_UHJ_format are 
correct and come from Gerzon himself.

  "Ambisonics in Multichannel Broadcasting and Video". JAES nov85, 33 (11): 
859-871.

  The Decoding eqns however, though supposedly coming from the same source, add 
an erroneous 1/sqrt(2) factor.  They are wrong.  If you take this abomination 
out, you get ...
  ___________________________________

  Formal UHJ Decode for 3/4 channels.

  S = (Left + Right)/2.0
  D = (Left - Right)/2.0

  W = 0.982*S + j*0.197(0.828*D + 0.768*T)
  X = 0.419*S - j(0.828*D + 0.768*T)
  Y = 0.796*D - 0.676*T + j*0.187*S
  Z = 1.023*Q
  ___________________________________

  .. a formal decode, the Inverse Matrix of the Encoder which recovers WXYZ 
exactly.  This is what's shown in Gerzon85

  Richard, the "signs of j" come out from the mathematics of the complex Matrix 
Inversion.  The test is that if you encode & decode, you should recover the 
original WXYZ (apart from small roundoff errors due to limited precision of the 
coefficients)

  For 2 channel UHJ, because WXY cannot be recovered exactly, there is a range 
of good decodes with different properties.[1]

  The one shown on wikipedia is supposedly from Gerzon85 but, because wiki has 
added a erroneous 1/sqrt(2) factor, will give very poor results.

  Richard, will you reveal the source of your heresy.  You are granted immunity 
from de-pinnaeing if you talk.

  [1]   The optimum 2 channel decode is tied in with the design of the speaker 
decoder which derives the signals to feed the speakers.

  BLaH3 ...  "Is my decoder Ambisonic?" Heller et al, AES San Francisco 2008  
.... is the definitive reference for design of Classic B-format decoders.

  However, 2 channel UHJ decode has other complexities which are yet to be 
explained clearly and accurately.  Expect a BLaH encyclical on the subject 
before the end of the millenium.

  In the meantime, let's stamp out incorrect, inaccurate and misleading info.
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