Figure 3: the square root of the sum of the squares of lfl and lfr
from the ’89 patent, scaled so the maximum value is one.
Notice that the value is constant at .71 along the axis from
unsteered to right. The unsteered to left rises 3dB to the value
one, and the unsteered to center or to rear falls by 3dB to the
value 0.5. The rear direction is identical to the center direction.
The 1996 AES paper corrected the
amplitude errors in figure 3 by
replacing the function G(x) in the
matrix equations with sines and
cosines: See Figure 4.
For the left front quadrant
LFL = cos(cs) + .41*G(lr)
LFR = -sin(cs)
For the right front quadrant
LFL = cos(cs)
LFR = -sin(cs)
For the left rear quadrant
LFL = cos(-cs) + .41*G(lr)
LFR = sin(-cs)
For the right rear quadrant
LFL = cos(-cs)
LFR = sin(-cs)
Figure 4: The square root of the sum of the squares of the lfl
and lfr matrix elements from the AES paper, scaled so the max
value is 1. Note the constant value of .71 in the entire right half
of the plane, and the gentle rise to one toward the left vertex.
