Remove the extra scaling on W for UHJ encoding
There seems to be some inconsistent info about whether W should be scaled by sqrt(2) for encoding. Not applying the scaling results in a wider stereo image, which seems more appropriate.
This commit is contained in:
+26
-7
@@ -16,6 +16,26 @@ static const ALfloat Filter2Coeff[4] = {
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0.4021921162426f, 0.8561710882420f, 0.9722909545651f, 0.9952884791278f
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};
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/* NOTE: There seems to be a bit of an inconsistency in how this encoding is
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* supposed to work. Some references, such as
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*
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* http://members.tripod.com/martin_leese/Ambisonic/UHJ_file_format.html
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*
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* specify a pre-scaling of sqrt(2) on the W channel input, while other
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* references, such as
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*
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* https://en.wikipedia.org/wiki/Ambisonic_UHJ_format#Encoding.5B1.5D
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* and
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* https://wiki.xiph.org/Ambisonics#UHJ_format
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*
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* do not. The sqrt(2) scaling is in line with B-Format decoder coefficients
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* which include such a scaling for the W channel input, however the original
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* source for this equation is a 1985 paper by Michael Gerzon, which does not
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* apparently include the scaling. Applying the extra scaling creates a louder
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* result with a narrower stereo image compared to not scaling, and I don't
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* know which is the intended result.
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*/
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void EncodeUhj2(Uhj2Encoder *enc, ALfloat (*restrict OutBuffer)[BUFFERSIZE], ALfloat (*restrict InSamples)[BUFFERSIZE], ALuint SamplesToDo)
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{
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ALuint base, i, c;
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@@ -45,10 +65,10 @@ void EncodeUhj2(Uhj2Encoder *enc, ALfloat (*restrict OutBuffer)[BUFFERSIZE], ALf
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D[i] = enc->Filter1_Y[3].y[1];
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}
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/* D += j(-0.3420201*W' + 0.5098604*X) */
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/* D += j(-0.3420201*W + 0.5098604*X) */
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for(i = 0;i < todo;i++)
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{
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ALfloat in = -0.3420201f*1.414213562f*InSamples[0][base+i] +
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ALfloat in = -0.3420201f*InSamples[0][base+i] +
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0.5098604f*InSamples[1][base+i];
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for(c = 0;c < 4;c++)
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{
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@@ -63,10 +83,10 @@ void EncodeUhj2(Uhj2Encoder *enc, ALfloat (*restrict OutBuffer)[BUFFERSIZE], ALf
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D[i] += enc->Filter2_WX[3].y[0];
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}
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/* S = 0.9396926*W' + 0.1855740*X */
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/* S = 0.9396926*W + 0.1855740*X */
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for(i = 0;i < todo;i++)
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{
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ALfloat in = 0.9396926f*1.414213562f*InSamples[0][base+i] +
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ALfloat in = 0.9396926f*InSamples[0][base+i] +
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0.1855740f*InSamples[1][base+i];
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for(c = 0;c < 4;c++)
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{
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@@ -81,11 +101,10 @@ void EncodeUhj2(Uhj2Encoder *enc, ALfloat (*restrict OutBuffer)[BUFFERSIZE], ALf
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S[i] = enc->Filter1_WX[3].y[1];
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}
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/* Left = (S + D)/2.0
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* Right = (S - D)/2.0
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*/
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/* Left = (S + D)/2.0 */
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for(i = 0;i < todo;i++)
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OutBuffer[0][base + i] += (S[i] + D[i]) * 0.5f;
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/* Right = (S - D)/2.0 */
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for(i = 0;i < todo;i++)
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OutBuffer[1][base + i] += (S[i] - D[i]) * 0.5f;
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+2
-3
@@ -12,9 +12,8 @@ typedef struct AllPassState {
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/* Encoding 2-channel UHJ from B-Format is done as:
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*
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* W' = W * sqrt(2)
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* S = 0.9396926*W' + 0.1855740*X
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* D = j(-0.3420201*W' + 0.5098604*X) + 0.6554516*Y
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* S = 0.9396926*W + 0.1855740*X
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* D = j(-0.3420201*W + 0.5098604*X) + 0.6554516*Y
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*
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* Left = (S + D)/2.0
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* Right = (S - D)/2.0
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