
3
Output Waveforms
Denitions
Count (N): For rotary motion, the number of bar and
window pairs or counts per revolution (CPR) of the
codewheel. For linear motion, the number of bar and
window pairs per unit length (lines per inch [LPI] or
lines per mm [LPmm]).
One Cycle (C): 360 electrical degrees (°e), 1 bar and win-
dow pair.
One Shaft Rotation: 360 mechanical degrees, N cycles
(rotary motion only).
Line Density: The number of reective and non-reec-
tive pairs per unit length, expressed as either lines per
inch (LPI) or lines per mm (LPmm).
Pulse Width (P): The number of electrical degrees that
an output is high during one cycle, nominally 180°e or
1/2 a cycle.
Pulse Width Error (∆P): The deviation in electrical de-
grees of the pulse width from its ideal value of 180°e.
State Width (S): The number of electrical degrees be-
tween a transition in the output of channel A and the
neighboring transition in the output of channel B. There
are 4 states per cycle, each nominally 90°e.
State Width Error (∆S): The deviation in electrical de-
grees of each state width from its ideal value of 90°e.
Phase (φ): The number of electrical degrees between
the center of the high state on channel A and the center
of the high state on channel B. This value is nominally
90°e.
Phase Error (∆φ): The deviation in electrical degrees of
the phase from its ideal value of 90°e.
Direction of Rotation: When the codewheel or codestrip
moves in the direction from pin 1 to pin 4, as viewed
when looking down on the lenses, channel B will lead
channel A. If the codewheel or codestrip moves in the
opposite direction, channel A will lead channel B.
Optical Radius (Rop): For rotary motion, the distance
from the codewheel’s center of rotation to the center
line connecting the two lenses of the encoder.
Gap (G): The distance from the top of the package to the
surface of the reective codewheel or codestrip.
Specular Reectance (Rf ): a measure of a surface’s re-
ective nish. This is quantied by the amount of light
reected when hit with an incident beam. A device
called a scatterometer is used to quantify specular re-
ectance on a percent scale. (Contact factory for more
information.)
Radial and Tangential Misalignment Error (ER, ET): For
rotary motion, mechanical misalignment in the radial
and tangential directions relative to the codewheel.
Angular Misalignment Error (EA): angular misalignment
of the sensor in relation to the tangential direction. This
applies for both rotary and linear motion.
HEDR-8000 angular misalign.
HEDR-8000
SHAFT
CODEWHEEL
RADIAL
TANGENTIAL
HEDR-8000
SHAFT
CODEWHEEL
EA
HEDR-8000 output wave.
S1 S2 S3 S4 f
P
C
CH. B
CH. A
ALL FOUR STATES (S1 TO S4)
ARE MAINTAINED.
CODEWHEEL ROTATION OR LINEAR MOVEMENT
AMPLITUDE