Fourier_series-class: s4 class of Fourier summation series
In MECfda: Scalar-on-Function Regression with Measurement Error Correction
Fourier_series-class R Documentation
s4 class of Fourier summation series
Description
A s4 class that represents the linear combination of Fourier basis functions below:
\frac{a_0}{2} +
\sum_{k=1}^{p_a} a_k \cos{(\frac{2\pi}{T}k(x-t_0))} +
\sum_{k=1}^{p_b} b_k \sin{(\frac{2\pi}{T}k(x-t_0))},
\qquad x\in[t_0,t_0+T]
Details
If not assigned, t_0 = 0, T = 2\pi.
If not assigned, k_cos and k_sin equals 1, 2, 3, ...
Slots
double_constantvalue of a_0.
cosvalues of coefficients of \cos waves, a_k.
sinvalues of coefficients of \sin waves, b_k.
k_cosvalues of k corresponding to the coefficients of \cos waves
k_sinvalues of k corresponding to the coefficients of \sin waves
t_0left end of the domain interval, t_0
periodlength of the domain interval, T.
Author(s)
Heyang Ji
Examples
fsc = Fourier_series(
double_constant = 0.5,
cos = c(0,0.3),
sin = c(1,0.7),
k_cos = 1:2,
)
MECfda documentation built on April 3, 2025, 10:07 p.m.
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| Fourier_series-class | R Documentation |
s4 class of Fourier summation series
Description
A s4 class that represents the linear combination of Fourier basis functions below:
\frac{a_0}{2} +
\sum_{k=1}^{p_a} a_k \cos{(\frac{2\pi}{T}k(x-t_0))} +
\sum_{k=1}^{p_b} b_k \sin{(\frac{2\pi}{T}k(x-t_0))},
\qquad x\in[t_0,t_0+T]
Details
If not assigned, t_0 = 0, T = 2\pi.
If not assigned, k_cos and k_sin equals 1, 2, 3, ...
Slots
double_constantvalue of
a_0.cosvalues of coefficients of
\coswaves,a_k.sinvalues of coefficients of
\sinwaves,b_k.k_cosvalues of
kcorresponding to the coefficients of\coswavesk_sinvalues of
kcorresponding to the coefficients of\sinwavest_0left end of the domain interval,
t_0periodlength of the domain interval,
T.
Author(s)
Heyang Ji
Examples
fsc = Fourier_series(
double_constant = 0.5,
cos = c(0,0.3),
sin = c(1,0.7),
k_cos = 1:2,
)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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