Phase from Cosinor Estimates

Calculate the phase given the estimated sine and cosine values from a cosinor model. Returns the phase in radians, in the range \([0,2\pi)\). The phase is the peak in the sinusoid. Applies atan2() over a branching workflow for each coordinate. See https://en.wikipedia.org/wiki/Atan2 for more information.

Usage

phasecalc(cosine, sine)

Arguments

cosine

estimated cosine value from a cosinor model.

sine

estimated sine value from a cosinor model.

Value

the estimated phase in radians.

References

Fisher, N.I. (1993) Statistical Analysis of Circular Data. Cambridge University Press, Cambridge. Page 31.

Author

Adrian Barnett a.barnett@qut.edu.au

Examples

# pi/2
phasecalc(cosine=0, sine=1)
#> [1] 1.570796