A New Approach to Interpolated High Resolution Encoders
Introduction - Optical Encoder Basics
The key to the successful operation of an optical encoder is the
optics system, which consists of a light source, a resolution disk,
and a sensor. During the operation of the encoder, the resolution
disk rotates between the light source and the sensor. Resolution
lines on the disk break the beam of light between the light source
and the sensor as each line passes by. The output from the sensor
is an analog signal called a sine wave, a series of rising and falling
voltages that varies with the amount of light reaching the sensor.
Each sine wave period has a duration of 360 electrical degrees.
These sine waves are input to a comparator, that generates the
series of on/off states, or square wave signals, commonly associated
with an encoder. For a single output "Channel A" encoder,
the square wave is in phase with the original sine wave. If a second
"Channel B" signal is needed, it is generated from another
sinewave 90° offset from the original sine wave. An on or off
state is generated based on the angle of each sine wave period.
See Figure 1.

Figure 1
Interpolation Basics
Since a sine wave is an analog signal, each sine wave can theoretically
be divided into an infinite number of components that represent
the various positions of the encoder. To achieve an interpolated
resolution, the comparator is replaced by an interpolation circuit,
which performs the actual division of the sine wave generated by
the optics system into the desired number of multiple interim positions.
The interpolator uses the angle of the sine wave period to maintain
position integrity, so a pure sine wave is a requirement for good
interpolation. The interpolation circuit then generates a new square
wave output at the increased resolution. See Figure 2.

Figure 2
One on and one off position is created for each level of interpolation.
For example, to achieve an interpolation level of 10X, the interpolation
circuit creates 10 on and 10 off positions in each sine wave period
for a total of 20 positions. This means that one position is created
every 18 electrical degrees (360÷20). See Table 1.
Input Angle
(within one sine wave) |
Output |
| 0-18 ° |
ON |
| 18-36° |
OFF |
| 36-54° |
ON |
| 54-72° |
OFF |
| 72-90° |
ON |
|
|
|
| 342-0° |
OFF |
Table 1
The use of interpolation allows an encoder to generate high-resolution
output without increasing the size of the disk. Thereby eliminating
the need to increase the overall size of the encoder.
Signal Quality
As mentioned above, the most important factor in accurately generating
an interpolated output is the quality of the analog sine wave signal
input to the interpolation circuit. If the shape of the sine wave
signal is distorted in any way, the interpolation circuit can not
accurately determine the angle of the wave. This results in pulses
in the square wave that are shortened or missed altogether. EPC's
advanced optics system incorporates proprietary sensor design to
ensure the cleanest possible sine wave. Using these high quality
sine wave signals, EPC's high-resolution encoders generate highly
accurate and reliable interpolated outputs while virtually eliminating
the phase, offset, and amplitude errors common in many other encoder
designs.
Other Considerations
Once a clean interpolated square wave has been generated that accurately
reflects the positional integrity of the encoder, the job is still
not done. The rest of the encoder electronics must also be designed
to accommodate the increased performance represented by good interpolation.
For example, the 300 KHz output frequency of standard encoder electronics
would only allow an interpolated encoder capable of 30,000 PPR to
be used on a motor or shaft that was running at a maximum of 600
rpm (300,000 kHz/30,000 PPR*60). For that reason, higher speed drivers
capable of operating to at least 1 MHz becomes a necessity. EPC
has chosen a design that allows different drivers to be inserted
so performance is balanced with economics, allowing an optimal solution.
Conclusion
Someone once said about playing the guitar, "It's easy to play,
but it certainly isn't easy to play well." The same thing can
be said about interpolated encoders - with modern electronics, its
not that hard to do, but it certainly is hard to do well. EPC's
various high-resolution encoders are just that, high resolution,
and their innovative approach insures that the gains made in resolution
are not lost in increased inaccuracies and poorer performance specifications.
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