Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Measure the bandwidth-modified two-sample phase/frequency stability
ResourceFunction["ModifiedAllanDeviation"][data,r,taus] calculates the bandwidth-modified two-sample deviation of data along sample times taus at rate r. |
{{n}} | attempts to place n logarithmically-spaced samples |
d | places logarithmic spaced samplings with log base d |
{τ1,τ2,…} | tries to use the specified sample times |
All | uses all possible sample times |
Automatic | tries to place a reasonable amount of samples along the whole possible time range |
Calculate the overlapping modified Allan deviation of white noise at a rate of 0.1 for automatically chosen sampling points:
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Plot the results:
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Display the overlapping modified Allan deviation of white noise at a rate of 0.1 for certain sampling points:
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Sample at all possible times:
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Try to sample at five different time values:
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The function will try to use a fast evaluation method when the data array is fully real, and otherwise prints a warning:
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"FrequencyData" accepts a Boolean as argument. True signals the use of frequency data as opposed to phase data:
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"Overlapping" accepts a Boolean as argument. False signals the use of non-overlapping strides in the deviation sampling:
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Distinguish a random walk from white noise by their distinct slopes:
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Detect a drift in frequency data by a rising slope in longer sample times:
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Using the fast algorithm is approximately two times faster:
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The function can process Around objects as well as exact inputs directly:
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Compare ModifiedAllanDeviation with the AllanDeviation resource function:
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Requesting a certain amount of samples will not necessarily result in this amount of deviations:
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The function can distinguish between white phase noise and flicker noise (pink noise), as opposed to the plain Allan deviation:
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