Encoder calculation.

Encoder calculation.


Idea
Selection of Encoder resolution. (Bits)

Notes
Encoder details (example to understand)



Notes
Formula:

where k is factor of safety range from 5 to 10.

Notes
Calculation: 
Looking for Required accuracy:
  • ±0.005°

Take conservative:

  • Resolution = accuracy / 10 = 0.0005°

Now:

N=log⁡2(3600.0005)≈19.5
N=log2(0.0005360)19.5

👉 So:

✔ Minimum: 20-bit encoder
✔ Preferred: 21–22 bit (for margin)


Info
Quick Selection Table

Accuracy RequiredRecommended Bits
±0.05°14–15 bit
±0.01°17–18 bit
±0.005°20–21 bit
±0.001°22+ bit

Notes
Conclusion: 
Above encoder support resolution upto 22 bit, prefer to select 22 bit. 

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