Control sample-delay phase loss calculator

Calculate added phase lag and signed phase contribution with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use added phase lag and signed phase contribution to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Loop frequency (Hz)
10
Total sample and transport delay (seconds)
0.005
Added phase lag (degrees)
18
Signed phase contribution (degrees)
-18

Try another scenario

Loop frequency (Hz)
11
Total sample and transport delay (seconds)
0.005
Added phase lag (degrees)
19.8
Signed phase contribution (degrees)
-19.8
Calculation method

Calculation method

Added phase lag (degrees)

360 × loop frequency × delay.

Signed phase contribution (degrees)

Negative added phase lag.

Symbols and units
a
Loop frequency (Hz)
b
Total sample and transport delay (seconds)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Loop frequency, sample-transport delay. Returns Added phase lag. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Loop frequency (Hz): minimum 1e-12, maximum 1000000000000.0. Total sample and transport delay (seconds): minimum 0, maximum 1000000000000.0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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