Encoder Resolution Calculator
Calculate angular resolution, linear position increments, equivalent bits, and maximum count-frequency RPM for incremental and absolute encoders.
Use the Encoder Resolution Calculator
Encoder Configuration
Select encoder type and enter datasheet parameters.
Native cycles per revolution prior to 4× quadrature decoding.
Single-turn bit depth (e.g. 16, 17, 20, 24 bits = 2N positions).
Leadscrew lead or wheel circumference. Leave blank for rotary only.
Receiver hardware max edge rate limit. Derives max shaft RPM.
Rotary Angular Resolution
Linear Position Resolution
Count Frequency Speed Limit
Calculated via authoritative limit: RPM = (Max Edge Frequency Hz × 60) ÷ (4 × PPR). Evaluated for incremental edge-counter hardware.
Factual Unit Relationships
| Metric | Native (1× / Base) | Resolved (4× Edge / Position) |
|---|
Engineering Definitions & Limitations
- Quadrature Edge Counting: 1 native cycle (PPR) comprises 4 distinct voltage transition states across channels A and B. Absolute positions are internally mapped and not subject to quadrature multiplication.
- Resolution vs. Accuracy: Resolution is the mathematical quantization granularity ($360^\circ / N$). Real-world position accuracy is constrained by disc grating tolerances, shaft runout, optical noise, and mechanical couplings.
- Serial Absolute Speeds: Absolute serial data transmission (BiSS-C, SSI, EnDat) does not correlate directly with edge frequency; shaft velocity limits are governed by master polling frequency, communication cycle frame overhead, and encoder internal sensor read latencies.
Enter parameters above and click Calculate Resolution to see results.
Summary
Calculate angular resolution, linear position increments, equivalent bits, and maximum count-frequency RPM for incremental and absolute encoders.
How it works
- Select Incremental (PPR / native optical cycles) or Absolute (single-turn bit depth).
- Enter the native PPR or bit depth from the manufacturer datasheet.
- Optionally specify linear pitch (mm per revolution) to compute linear position increments.
- For incremental encoders, enter controller maximum count/edge frequency limit (Hz) to derive maximum shaft RPM.
- Click Calculate or press Enter to view exact angular, linear, and speed metrics.
Use cases
- Verify single-turn absolute encoder bit depth (e.g., 16-bit to 25-bit) for high-precision rotary joints.
- Determine linear positioning increments in micrometres for CNC leadscrews and belt drives.
- Calculate maximum allowable shaft RPM based on counter hardware input edge frequency.
- Evaluate 1x native pulse count versus 4x quadrature decoded edge counts for motion controllers.