COMPARING MATRIX SYSTEMS

Several of the matrix systems are very similar to each other. Here is a comparison to find out just how close they are to each other.

To see information on axis systems used in matrix design, go to page bottom.

To see detail of any diagram, right click and select View Image.

REGULAR MATRIX (RM and QM)

Notice how the channel patterns are very much alike. Note also that the encoding patterns are closer together than the decoding patterns.
SYSTEMENCODINGDECODING
F Blend BBF AxStylus VecSphere F Blend BBF AxStylus VecSphereRoom Size
QS (Sansui matrix) 22.5°
LR → I
22.5°
LR → O

@ O

@ I
QS encode QS encode 22.5°
LR → I
22.5°
LR → O

@ O

@ I
QS decode QS decode QS decode
RM (Generic RM) 22.5°
LR → I
22.5°
LR → O

@ O

@ I
RM encode RM encode 22.5°
LR → I
22.5°
LR → O

@ O

@ I
RM decode RM decode RM decode
Dynaco Diamond 45°
LR → I
45°
LR → O

@ O

@ I
DD encode DD encode 45°
LR → I
45°
LR → O

@ O

@ I
DD decode DD decode DD decode
Dolby Surround 45°
LR → I
45°
LR → O

@ O

@ I
DS encode DS encode 45°
LR → I
45°
LR → O
Delay

@ O

@ I
DS decode DS decode DS decode
E-V Stereo-4 16.7°
LR → I
26.6°
LR → O

@ O

@ I
EV encode EV encode 11.3°
LR → I
38.7°
LR → O

@ O

@ I
EV decode EV decode EV decode
Dynaquad 14°
LR → I
26.6°
LR → O

@ O

@ I
DQ encode DQ encode
LR → I
30°
LR → O

@ O

@ I
DQ decode DQ decode DQ decode
 

PHASE MATRIX (PM and SQ)

Notice how the channel patterns are also very much alike. Note also that decoding patterns vary with the purpose of the matrix.
SYSTEMENCODINGDECODING
F Blend BBF AxStylus VecSphere F Blend BBF AxStylus VecSphereRoom Size
Columbia CBS SQ
LR → I

KA → O

@ O

@ I
SQ encode SQ encode
LR → I
22.5°
KA → O

@ O

@ I
SQ decode SQ decode SQ decode
CBS SQ 4-Corners
LR → I

KA → O

@ O

@ I
SQ 4 corners SQ 4 cornersencode
LR → I
22.5°
KA → O

@ O

@ I
SQ decode SQ decode SQ decode
CBS SQ 10-40 Blend
LR → I

KA → O

@ O

@ I
SQ encode SQ encode 5.7°
LR → I
21.8°
KA → O

@ O

@ I
SQ blend SQ blend SQ blend
E-V Universal 16.7°
LR → I
21.8°
KA → O

@ O

@ I
EVU encode EVU encode 11.3°
LR → I
21.8°
KA → O

@ O

@ I
EVU decode EVU decode ECU wide
E-V Universal 16.7°
LR → I
21.8°
KA → O

@ O

@ I
EVU encode EVU encode 11.3°
LR → I
38.7°
KA → O

@ O

@ I
EVU decode EVU decode EVU narrow
UniQuad Equal Sep 17.6°
LR → I
17.6°
KA → O

@ O

@ I
UQ encode UQ encode 17.6°
LR → I
17.6°
KA → O

@ O

@ I
UQ decode UQ decode UQ decode
 

UNIFORM MATRIX (UX)

Notice how the channel patterns progress from BMX to RM. Note also that the encoding patterns are all equal to the decoding patterns.
SYSTEMENCODINGDECODING
F Blend BBF AxStylus VecSphere F Blend BBF AxStylus VecSphereRoom Size
Denon Uniform BMX 22.5°
LR → K
22.5°
LR → A

@ A

@ K
BMX encode BMX encode 22.5°
LR → I
22.5°
LR → O

@ A

@ K
BMX decode BMX decode BMX decode
Denon Uniform UD4 22.5°
LR → K
22.5°
LR → A

@ A

@ K
BMX encode BMX encode 22.5°
LR → K
22.5°
LR → A

@ A

@ K
BMX decode BMX decode BMX decode
BBC Matrix H 22.5°
LR → T
22.5°
LR → F
T 45°
O → A
F 45°
I → K
H encode H encode 22.5°
LR → T
22.5°
LR → F
T 45°
O → A
F 45°
I → K
H decode H decode H decode
UHJ Ambisonic 22.5°
LR → H
22.5°
LR → J
H 22.5°
A → T
J 22.5°
I → F
UHJ encode UHJ encode 22.5°
LR → H
22.5°
LR → J
H 22.5°
A → T
J 22.5°
I → F
UHJ decode UHJ decode UHJ decode
RM (to compare) 22.5°
LR → I
22.5°
LR → O

@ O

@ I
RM encode RM encode 22.5°
LR → I
22.5°
LR → O

@ O

@ I
RM decode RM decode RM decode

F Blend = Front blend
Blend B = Back blend
BF Ax = Back to front axis
Stylus Vec = Stylus vectors
Sphere = Poincaré sphere loci
Room Size = Image space size in room

AXIS SYSTEMS IN MATRIX DESIGN

matrix axis The following are various axis systems used in matrix design shown on the Poincaré Sphere.

The LR axis is the start of the measurement of every angle to an F or a B channel.

Each axis connects the center of its front channels to the center of its back channels.