A New Algorithm to Accelerate Harmonic Analysis of Time Series

Table 2

Estimated harmonic content by using the nonlinear harmonic method with the patched periodogram.

𝑓^a	𝑆^b	𝐶^c	𝑆𝑆^d	𝐶𝐶^e
0.001±0.000	0.996±0.015	3.030±0.015	0.000	0.000
0.200±0.000	1.960±0.015	1.007±0.015	0.000	0.000
0.003±0.000	1.996±0.015	1.986±0.015	0.000	0.000
0.040±0.000	−0.008±0.015	4.998±0.015	0.000	0.000
0.005±0.000	−3.014±0.015	1.028±0.015	−0.005±0.000	0.002±0.000

^aEstimated value of the frequencies included in the functional model (in cycles per unit of time).
^bLinear coefficient of the sinus Fourier term for the frequency that appears at the same row.
^cLinear coefficient of the cosinus Fourier term for the frequency that appears at the same row.
^dLinear coefficient of the sinus mixed secular term for the frequency appearing at the same row.
^eLinear coefficient of the cosinus mixed secular term for the frequency that appears at the same row.