Basic Examples (2) 

Remove the discontinuity in the phase:

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Correct phase jumps in a list of phase angles measured in degrees:

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Scope (3) 

Supply a stricter tolerance:

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Supply a tolerance as a scaled version of the modulus:

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Jumps of multiple times the modulus τ are also removed:

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Applications (2) 

Data measured from an angular encoder on a shaft:

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Unwrap data to get the absolute angle of the shaft:

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Properties and Relations (1) 

PhaseUnwrap is the opposite of Mod for time series of data:

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Possible Issues (1) 

If the tolerance is too high, steep parts of the function cannot be reconstructed, resulting in partial removal of the discontinuities:

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Neat Examples (2) 

Show some modulated data:

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Interactively change the tolerance. For a scaled tolerance of 1, the original signal is returned:

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Apply it to two-dimensional data by doing row-by-row unwrapping. First create some data:

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Modulate the data:

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Reconstruct the data:

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Check that they are the same within machine precision:

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