Lagrange Interpolation with time interval of
day(s) First date (optional)
Produce file of the selected parameters
Draw data
Spectral analysis (FFT, complex for 2D signal)
Amplitude
(Ampl.)2
Log10(Ampl.)2)
min. frequency
max. frequency (in cycle per unit of time)
Periodogram
< periods <
in the time unit - 1D signal only.
The sampling is determined by Period max / Period min
Weighted least square fit of periodic components (periods in unit of
time)
Positive periods
Polynomial of degree
Negative periods
(take negative periods only for 2 dimensional signal)
Draw residuals and input data
Draw fit and input data
Print residuals
In-phase and out-of-phase terms (a, b) are estimated,
as well as amplitude A and phase φ :
1-D : X = A cos[2π/T (t-t0) + φ] = a cos[2π/T
(t-t0)] + b sin[2π/T (t-t0) ]
2-D : X +i Y = A exp[i 2π/T (t-t0) + i φ]
with the reference epoch t0 = 1/1/2000 0hUT that is :
X = a cos[2π/T (t-t0)] _ b sin[2π/T (t-t0)
] Y = b cos[2π/T (t-t0)] + a sin[2π/T
(t-t0) ]
with a = A cos φ b = A sin φ
Vondrak filter
Remove parabolic trend
Produce data file
Draw
with input data
(P0) time unit Transfer coefficient for P0
:T0=
%
- The Vondrak filter transfer function at another period P is given
by :
T=1/(1+(P0/P)6 (1-T0)/T0)
- For the case "Select band around" the periods in [P0
- 0.1*P0, P0 + 0.1*P0] are transmitted with the rate > T0%.
- For the case "Remove band around" the periods outside
[P0 - 0.1*P0, P0 + 0.1*P0] are transmitted with the rate > T0 %.
Singular Spectral Analysis (SSA) - Zoom between
and
The extracted components are decorellated over time windows of
(in the time unit) with the interpolation lag
(in the time unit). Firt step consists in the determination of the
eigenvalues and eigenvectors printed by decreasing weight. Then
5 singular components are reconstructed according to the following
combinations of eigenvectors, to be stated from the analysis of the
eigenvalues .
RC1
(Reconstructed Comp. based upon eigenvectors N° 1 and N°2
)
RC2
RC3
RC4
RC5
produce time series (date, signal, RC1,RC2,RC3,RC4,RC5,residuals)
draw
Partial Interface with the C-Library MIMOSA developped by S. Lambert.
Thank you for bringing to our knowledge any possible mistake, mail
to : christian.bizouard at obspm.fr
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1- Variations produced by the solid Earth zonal tides (IERS 2000 model)
2- The reference model for the celestial pole offsets is the precession-nutation model IAU 2000
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