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.
SYSTEM	ENCODING					DECODING
	F Blend B		BF Ax	Stylus Vec	Sphere	F Blend B		BF Ax	Stylus Vec	Sphere	Room Size
QS (Sansui matrix)	22.5° LR → I	22.5° LR → O	0° @ O 0° @ I			22.5° LR → I	22.5° LR → O	0° @ O 0° @ I
RM (Generic RM)	22.5° LR → I	22.5° LR → O	0° @ O 0° @ I			22.5° LR → I	22.5° LR → O	0° @ O 0° @ I
Dynaco Diamond	45° LR → I	45° LR → O	0° @ O 0° @ I			45° LR → I	45° LR → O	0° @ O 0° @ I
Dolby Surround	45° LR → I	45° LR → O	0° @ O 0° @ I			45° LR → I	45° LR → O Delay	0° @ O 0° @ I
E-V Stereo-4	16.7° LR → I	26.6° LR → O	0° @ O 0° @ I			11.3° LR → I	38.7° LR → O	0° @ O 0° @ I
Dynaquad	14° LR → I	26.6° LR → O	0° @ O 0° @ I			0° LR → I	30° LR → O	0° @ O 0° @ I
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.
SYSTEM	ENCODING					DECODING
	F Blend B		BF Ax	Stylus Vec	Sphere	F Blend B		BF Ax	Stylus Vec	Sphere	Room Size
Columbia CBS SQ	0° LR → I	0° KA → O	0° @ O 0° @ I			0° LR → I	22.5° KA → O	0° @ O 0° @ I
CBS SQ 4-Corners	0° LR → I	0° KA → O	0° @ O 0° @ I			0° LR → I	22.5° KA → O	0° @ O 0° @ I
CBS SQ 10-40 Blend	0° LR → I	0° KA → O	0° @ O 0° @ I			5.7° LR → I	21.8° KA → O	0° @ O 0° @ I
E-V Universal	16.7° LR → I	21.8° KA → O	0° @ O 0° @ I			11.3° LR → I	21.8° KA → O	0° @ O 0° @ I
E-V Universal	16.7° LR → I	21.8° KA → O	0° @ O 0° @ I			11.3° LR → I	38.7° KA → O	0° @ O 0° @ I
UniQuad Equal Sep	17.6° LR → I	17.6° KA → O	0° @ O 0° @ I			17.6° LR → I	17.6° KA → O	0° @ O 0° @ I
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.
SYSTEM	ENCODING					DECODING
	F Blend B		BF Ax	Stylus Vec	Sphere	F Blend B		BF Ax	Stylus Vec	Sphere	Room Size
Denon Uniform BMX	22.5° LR → K	22.5° LR → A	0° @ A 0° @ K			22.5° LR → I	22.5° LR → O	0° @ A 0° @ K
Denon Uniform UD4	22.5° LR → K	22.5° LR → A	0° @ A 0° @ K			22.5° LR → K	22.5° LR → A	0° @ A 0° @ K
BBC Matrix H	22.5° LR → T	22.5° LR → F	T 45° O → A F 45° I → K			22.5° LR → T	22.5° LR → F	T 45° O → A F 45° I → K
UHJ Ambisonic	22.5° LR → H	22.5° LR → J	H 22.5° A → T J 22.5° I → F			22.5° LR → H	22.5° LR → J	H 22.5° A → T J 22.5° I → F
RM (to compare)	22.5° LR → I	22.5° LR → O	0° @ O 0° @ I			22.5° LR → I	22.5° LR → O	0° @ O 0° @ I

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

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

• L ↔ R - the axis between the left channel and the right channel of the stereo signal
• O ↔ I - the axis between the out-of-phase signals and the in-phase signals
• K ↔ A - the axis between the kionoclockwise and the anticlockwise 90 degree phase relationships
• T ↔ F - the axis for Matrix H between the back and the front signals
• U ↔ G - the axis for Matrix HR between the back and the front signals
• H ↔ J - the axis for Matrix UHJ between the back and the front signals - It does not cross the center

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.