Description
Return unwrapped phase contribution of a pure delay.
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 unwrapped phase contribution of a pure delay.
When to use this tool
Use Loop Delay Phase Contribution when checking one supplied sample, delay or quantization convention.
How to use the tool and how it works
- Enter frequencyHz, delaySeconds. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read phaseRadians. Use the output convention below.
Return unwrapped phase contribution of a pure delay. Require nonnegative frequencyHz and delaySeconds; phaseRadians = -2*pi*frequency*delay.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| frequencyHz | Frequency in cycles per second (Hz); angular factors include 2*pi. | Required. Finite number; minimum 0. |
| delaySeconds | Delay in seconds on the same time basis as sampling or frequency. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| phaseRadians | Signed phase term in radians under the stated convention. | Required. Finite number. |
{
"input": {
"frequencyHz": 2,
"delaySeconds": 0.25
},
"output": {
"phaseRadians": -3.141592653589793
}
}Limitations and assumptions
- This assumes the positive-exponential frequency convention; plant dynamics and stability are not evaluated.
- 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
- Sample Delay Phase Reference Gap
Compare sample-delay phase with a reference.
- Sample Hold Delay Phase Sign
Return delay phase under an explicit exponential convention.