Description
Phase offset after substituting old time = new time + supplied origin shift.
Wave phase can be expressed in cycles, degrees, or radians. A change of time origin or propagation distance changes phase according to an explicit sign convention. Wrapped phase identifies a location within one cycle; unwrapped phase retains the signed number of cycles.
Phase offset after substituting old time = new time + supplied origin shift.
When to use this tool
Use Wave Phase Time Origin Sign when you need the stated phase conversion or one wave-model factor with an explicit time and direction convention.
How to use the tool and how it works
- Enter angularFrequency, originShift, convention. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read phaseShift. Use the output convention below.
Accept convention minus-omega-t or plus-omega-t and return phaseShift=-angularFrequency*originShift for the former, otherwise the positive product.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| angularFrequency | Angular frequency in radians per chosen time unit. | Required. Finite number. |
| originShift | Origin Shift | Required. Finite number. |
| convention | Convention | Required. Text; one of "minus-omega-t", "plus-omega-t"; maximum UTF-16 length 8192. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| phaseShift | Phase Shift | Required. Finite number. |
{
"input": {
"angularFrequency": 2,
"originShift": 3,
"convention": "minus-omega-t"
},
"output": {
"phaseShift": -6
}
}Limitations and assumptions
- Angular frequency is radians per matching time unit. The result is an unwrapped phase change under the selected convention, not an inferred time origin or a complete waveform transformation.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Write the full wave convention, coordinate direction, and time origin before comparing phases. A signal-estimation task also needs actual sampled observations and an appropriate fitting method.
References
Similar or alternative tools
- Wave Relative Phase Time Shift
Shift the phase of a cos(omega*t+phase) wave when the supplied time coordinate is advanced.
- Oscillation Phase Origin Gap
Report the unwrapped phase offset induced by shifting the supplied time origin; no frequency is inferred.