Description
Return a biased quantization-error band after supplied scaling.
Sampled control models distinguish physical delay, held-state age, phase convention and quantization. A local frequency factor or error envelope assumes the stated sample and signal model, rather than measuring actual sensor or plant behavior.
Return a biased quantization-error band after supplied scaling.
When to use this tool
Use Sensor Quantization Error Halfband when checking one supplied sample, delay or quantization convention.
How to use the tool and how it works
- Enter quantum, suppliedScale, bias. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read lowerError, upperError, halfBand. Use the output convention below.
Return a biased quantization-error band after supplied scaling. Require quantum >= 0; halfBand = quantum*abs(scale)/2, with error limits bias plus/minus halfBand.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| quantum | Quantum | Required. Finite number; minimum 0. |
| suppliedScale | Supplied possibly signed conversion multiplier; error bounds use its magnitude. | Required. Finite number. |
| bias | Bias | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| lowerError | Lower Error | Required. Finite number. |
| upperError | Upper Error | Required. Finite number. |
| halfBand | Half Band | Required. Finite number. |
{
"input": {
"quantum": 2,
"suppliedScale": -3,
"bias": 1
},
"output": {
"lowerError": -2,
"upperError": 4,
"halfBand": 3
}
}Limitations and assumptions
- This deterministic envelope does not include other sensor errors or prove a uniform error distribution.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a validated sampled-system and measurement model for practical control design, operating limits and safety.
References
Similar or alternative tools
- Sensor Quantization Equivalent Error Term
Return scaled quantization half-width and conditional uniform standard deviation.
- Error Integral Leakage One Step
Update a leaking integral state with an error increment.