Signal Progression Bandwidth Calculator
Intersect independently unwrapped green windows after travel offsets; negative bandwidth retained, cycle wrap choices established externally. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
Signal progression compares green windows after shifting them to a shared travel-time basis.
Signal progression compares green windows after shifting them to a shared travel-time basis.1
A negative common bandwidth describes a gap rather than a usable progression interval. Use this tool to calculate signal Progression Bandwidth from the supplied measurements and assumptions.
When to use Signal Progression Bandwidth Calculator
Use this tool to calculate signal Progression Bandwidth from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
How to use Signal Progression Bandwidth Calculator and understand its results
- Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
- Enter callerUnwrappedGreenStartsSeconds, callerUnwrappedGreenEndsSeconds, callerIndependentTravelOffsetsSeconds, using the field meanings and rules below, then run the tool.
- Read commonWindowStart, commonWindowEnd, signedCommonBandwidth. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerUnwrappedGreenStartsSeconds | Caller unwrapped green starts seconds | list of number | Required |
| callerUnwrappedGreenEndsSeconds | Caller unwrapped green ends seconds | list of number | Required |
| callerIndependentTravelOffsetsSeconds | Caller independent travel offsets seconds | list of number | Required |
Enter nonempty aligned finite unwrapped green starts, ends and travel offsets, requiring start≤end per item. Shift each window by subtracting its offset. Common start is the maximum shifted start and common end the minimum shifted end; signed bandwidth is end−start. A negative result is a gap, retained without clipping; there is no cycle wrapping or timing optimization.
commonStart=max(start_i−offset_i); commonEnd=min(end_i−offset_i); bandwidth=commonEnd−commonStart Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| commonWindowStart | Common Window Start; follow the units, sign, ordering and evidence convention stated above | number |
| commonWindowEnd | Common Window End; follow the units, sign, ordering and evidence convention stated above | number |
| signedCommonBandwidth | Signed Common Bandwidth; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"callerUnwrappedGreenStartsSeconds": [
10,
25
],
"callerUnwrappedGreenEndsSeconds": [
30,
45
],
"callerIndependentTravelOffsetsSeconds": [
0,
10
]
},
"output": {
"commonWindowStart": 15,
"commonWindowEnd": 30,
"signedCommonBandwidth": 15
}
}Limitations and assumptions
A negative common bandwidth describes a gap rather than a usable progression interval. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Roundabout Capacity Calculator for this related task: A gap-acceptance roundabout model relates conflicting flow to critical and follow-up gaps.
Use Level of Service Delay Calculator when its separate inputs and assumptions fit the question: Delay classification compares observations with ordered inclusive upper edges.
References
-
Signal Progression Bandwidth Calculator — tool.io
Similar or alternative tools
- Roundabout Capacity Calculator
A gap-acceptance roundabout model relates conflicting flow to critical and follow-up gaps.
- Level of Service Delay Calculator
Delay classification compares observations with ordered inclusive upper edges.