Reference on kuibit.timeseries¶
The timeseries
module provides a representation of time series
and convenience functions to create TimeSeries
.
TimeSeries
can be evenly or unevenly sampled are rich in features.
They support all the mathematical operations and operators you may expect, and
have additional methods, which include ones for taking derivatives, integrals,
apply windows, smooth the signal, take Fourier transform, and more. Most of
these methods are available in two flavors: those that return a new
TimeSeries
, and those which modify the object in place. The latter
have names with imperative verbs.
TimeSeries
are derived from the BaseSeries
, which in
turn is derived from the abstract class BaseNumerical
. Some of the
capabilities of TimeSeries
(e.g., overloading the mathematical
operators) are implemented in the parent classes.
The additional functions provided in timeseries
are:
remove_duplicated_iters()
cleans the input arrays by removing duplicated times.unfold_phase()
takes as argument a NumPy array representing a phase and unfolds it removing all the jumps of 2 pi. This is useful in gravitational wave analysis.combine_ts()
takes a list of timeseries and removes all the overlapping segments.

class
kuibit.timeseries.
TimeSeries
(t, y, guarantee_t_is_monotonic=False)[source]¶ This class represents real or complex valued time series.
TimeSeries
are defined providing a time list or array and the corresponding values. For example,times = np.linspace(0, 2 * np.pi, 100) values = np.sin(times) ts = TimeSeries(times, values)
Times cannot be empty or not monotonically increasing. Times and values must have the same length.
TimeSeries are wellbehaved classed, many operations and methods are implemented. For instance, you can sum/multiply two
TimeSeries
.NumPy acts on TimeSeries cleanly, eg.
np.log10(TimeSeries)
is aTimeSeries
withlog10(data)
.TimeSeries
have methods for smoothing, windowing, extracting phase and more. Variables
t (1D NumPy array or float) – Times.
y (1D NumPy array or float) – Values.
spline_real (tuple) – Coefficients for a spline represent of the real part of y.
spline_imag (tuple) – Coefficients for a spline represent of the real part of y.
Constructor.
When guarantee_t_is_monotonic is True no checks will be perform to make sure that t is monotonically increasing (increasing performance). This should is used internally whenever a new series is returned from self (since we have already checked that t is good.) or in performance critical routines.
 Parameters
t (1D NumPy array or list) – Sampling times, need to be strictly increasing.
y (1D NumPy array or list) – Data samples, can be real or complex valued.
guarantee_t_is_monotonic (bool) – The code will assume that t is monotonically increasing.

abs_max
()¶ Return the maximum of the absolute value

abs_min
()¶ Return the minimum of the absolute value

abs_nanmax
()¶ Return the maximum of the absolute value ignoring NaNs

abs_nanmin
()¶ Return the minimum of the absolute value ignoring NaNs

aligned_at_maximum
()[source]¶ Return a new timeseries with absolute maximum at t=0.
 Returns
Timeseries shifted so that the maximum is a t=0.
 Return type

aligned_at_minimum
()[source]¶ Return a new timeseries with absolute minimum at t=0.
 Returns
Timeseries shifted so that the minimum is a t=0.
 Return type

clip
(init=None, end=None)¶ Remove data outside the the interval
[init, end]
. Ifinit
orend
are not specified or None, it does not remove anything from this side. Parameters
init (float or None) – Data with
x <= init
will be removed.end (float or None) – Data with
x >= init
will be removed.

clipped
(init=None, end=None)¶ Return a series with data removed outside the interval
[init, end]
. Ifinit
orend
are not specified or None, it does not remove anything from this side. Parameters
init (float or None) – Data with
x <= init
will be removed.end (float or None) – Data with
x >= init
will be removed.
 Returns
Series with enforced minimum and maximum
 Return type
BaseSeries
or derived class

copy
()¶ Return a deep copy.
 Returns
Deep copy of the series.
 Return type
BaseSeries
or derived class

crop
(init=None, end=None)¶ Remove data outside the the interval
[init, end]
. Ifinit
orend
are not specified or None, it does not remove anything from this side. Parameters
init (float or None) – Data with
x <= init
will be removed.end (float or None) – Data with
x >= init
will be removed.

cropped
(init=None, end=None)¶ Return a series with data removed outside the interval
[init, end]
. Ifinit
orend
are not specified or None, it does not remove anything from this side. Parameters
init (float or None) – Data with
x <= init
will be removed.end (float or None) – Data with
x >= init
will be removed.
 Returns
Series with enforced minimum and maximum
 Return type
BaseSeries
or derived class

differentiate
(order=1)¶ Differentiate with the numerical orderdifferentiation.
The optional parameter
order
specifies the order of the derivative.The derivative is calulated as centered differencing in the interior and onesided derivatives at the boundaries. Higher orders are computed applying the same rule recursively.
 Parameters
order (int) – Order of derivative (e.g. 2 = second derivative).

differentiated
(order=1)¶ Return a series that is the numerical orderdifferentiation of the present series.
The optional parameter
order
specifies the order of the derivative.The derivative is calulated as centered differencing in the interior and onesided derivatives at the boundaries. Higher orders are computed applying the same rule recursively.
 Parameters
order (int) – Order of derivative (e.g. 2 = second derivative).
 Returns
New series with derivative.
 Return type
BaseSeries
or derived class

property
dt
¶ Return the timestep if the series is regularly sampled, otherwise raise error.
 Returns
Timestep of the series (if evenly sampled).
 Return type
float

property
duration
¶ Return the length of the covered time interval.
 Returns
Length of time covered by the timeseries (tmax  tmin).
 Return type
float

evaluate_with_spline
(x, ext=2)¶ Evaluate the spline on the points
x
.Values outside the interval are extrapolated if
ext=0
, set to 0 ifext=1
, raise aValueError
ifext=2
, or ifext=3
, return the boundary value.This method is meant to be used only if you want to use a different ext for a specific call, otherwise, just use __call__.
 Parameters
x (1D NumPy array of float) – Array of x where to evaluate the series or single x.
ext (int) – How to deal values outside the bounaries. Values outside the interval are extrapolated if
ext=0
, set to 0 ifext=1
, raise a ValueError ifext=2
, or ifext=3
, return the boundary value.
 Returns
Values of the series evaluated on the input x.
 Return type
1D NumPy array or float

final_time_remove
(time_end)[source]¶ Remove the final
time_end
amount of time in the timeseries. Parameters
time_end (float) – Amount of time to be removed from the end.

final_time_removed
(time_end)[source]¶ Return a
TimeSeries
without the finaltime_end
amount of time.If a series goes from t=1 to t=10 and you set time_end=2, the series will go from t=1 to t=8.
 Parameters
time_end (float) – Amount of time to be removed from the end.
 Returns
A new
TimeSeries
without the finaltime_end
. Return type

fixed_frequency_resample
(frequency)[source]¶ Resample the timeseries to regularly spaced times with the given frequency. The final time will change if the frequency does not lead a integer number of timesteps.
 Parameters
frequency (float) – Sampling rate.

fixed_frequency_resampled
(frequency)[source]¶ Return a
TimeSeries
with same tmin and tmax but resampled at a fixed frequency. The final time will change if the frequency does not lead a integer number of timesteps. Parameters
frequency (float) – Sampling rate.
 Returns
Time series resampled with given frequency.
 Return type

fixed_timestep_resample
(timestep)[source]¶ Resample the timeseries to regularly spaced times with given timestep. The final time will change if the timestep does not lead a integer number of timesteps.
 Parameters
timestep (float) – New timestep.

fixed_timestep_resampled
(timestep)[source]¶ Return a new
TimeSeries
with evenly spaced with the given timestep. The final time will change if the timestep does not lead a integer number of timesteps. Parameters
timestep (float) – New timestep.
 Returns
Time series resampled with given timestep.
 Return type

hamming_windowed
()[source]¶ Return a timeseries with Hamming window applied.
 Returns
New windowed
TimeSeries
. Return type

property
index
¶ Fake pandas properties, to make Series objects plottable by matplotlib.

initial_time_remove
(time_init)[source]¶ Remove the first
time_init
amount of time in the timeseries.When
tmin = 0
, this is the same as cropping, otherwise the difference is that in one case the time interval is specified, whereas in the other (cropping) the newtmin
is specified. Parameters
time_init (float) – Amount of time to be removed from the beginning.

initial_time_removed
(time_init)[source]¶ Return a
TimeSeries
without the initialtime_init
amount of time.When
tmin = 0
, this is the same as cropping, otherwise the difference is that in one case the time interval is specified, whereas in the other (cropping) the newtmin
is specified.If a series goes from t=1 to t=10 and you set time_init=2, the series will go from t=1 to t=10.
 Parameters
time_init (float) – Amount of time to be removed from the beginning.
 Returns
A new
TimeSeries
without the initialtime_init
. Return type

integrate
(dx=None)¶ Integrate series with method of the rectangles.
The spacing
dx
can be optionally provided. If provided, it will be used (increasing performance), otherwise it will be computed internally.

integrated
(dx=None)¶ Return a series that is the integral computed with method of the rectangles.
The spacing
dx
can be optionally provided. If provided, it will be used (increasing performance), otherwise it will be computed internally. Parameters
dx (float or None) – Delta x in the independent variable. If None it will be computed internally.
 Returns
New series with the cumulative integral.
 Return type
BaseSeries
or derived class

is_complex
()¶ Return whether the data is complex.
 Returns
True if the data is complex, false if it is not.
 Return type
bool

is_masked
()¶ Return whether the x or y are masked.
 Returns
True if the x or y are masked, false if it is not.
 Return type
bool

is_regularly_sampled
()¶ Return whether the series is regularly sampled.
If the series is only one point, an error is raised.
 Returns
Is the series regularly sampled?
 Return type
bool

property
mask
¶ Return where the data is valid (according to the mask).
 Returns
Array of True/False of the same length of the data. False where the data is valid, true where is not.
 Return type
1D array of bool

mask_applied
(mask, ignore_existing=False)¶ Return a new series with given mask applied to the data.
If a previous mask already exists, the new mask will be added on top, unless
ignore_existing
is True. Parameters
mask (1D NumPy array) – Array of booleans that identify where the data is invalid. This can be obtained with the method
mask()
.ignore_existing (bool) – If True, overwrite any previously existing mask.
 Returns
New series with mask applied.
 Return type

mask_apply
(mask, ignore_existing=False)¶ Apply given mask.
If a previous mask already exists, the new mask will be added on top, unless
ignore_existing
is True. Parameters
mask (1D NumPy array) – Array of booleans that identify where the data is invalid. This can be obtained with the method
mask()
.ignore_existing (bool) – If True, overwrite any previously existing mask.

mask_equal
(value)¶ Mask where data is equal to given value.

mask_greater
(value)¶ Mask where data is greater to given value.

mask_greater_equal
(value)¶ Mask where data is greater or equal to given value.

mask_inside
(value1, value2)¶ Mask where data is inside the given values.

mask_invalid
()¶ Mask where data is invalid (NaNs of infs).

mask_less
(value)¶ Mask where data is less to given value.

mask_less_equal
(value)¶ Mask where data is less or equal to given value.

mask_not_equal
(value)¶ Mask where data is not equal to given value.

mask_outside
(value1, value2)¶ Mask where data is outside the given values.

mask_remove
()¶ Remove masked values.

mask_removed
()¶ Remove masked value.
Return a new series with valid values only.
 Returns
A new series with only valid values.
 Return type
BaseSeries
or derived class

masked_equal
(value)¶ Return a new objected masked where data is equal to given value.

masked_greater
(value)¶ Return a new objected masked where data is greater to given value.

masked_greater_equal
(value)¶ Return a new objected masked where data is greater or equal to given value.

masked_inside
(value1, value2)¶ Return a new objected masked where data is inside the given values.

masked_invalid
()¶ Return a new objected masked where data is invalid (NaNs or infs).

masked_less
(value)¶ Return a new objected masked where data is less to given value.

masked_less_equal
(value)¶ Return a new objected masked where data is less or equal to given value.

masked_not_equal
(value)¶ Return a new objected masked where data is not equal to given value.

masked_outside
(value1, value2)¶ Return a new objected masked where data is outside the given values.

mean_removed
()[source]¶ Return a
TimeSeries
with mean removed, so that its new total average is zero. Returns
A new
TimeSeries
with zero mean. Return type

nans_remove
()¶ Filter out nans/infinite values.

nans_removed
()¶ Filter out nans/infinite values. Return a new series with finite values only.
 Returns
A new series with only finite values.
 Return type
BaseSeries
or derived class

phase_angular_velocity
(use_splines=True, tsmooth=None, order=3)[source]¶ Compute the phase angular velocity, i.e. the time derivative of the complex phase.
Optionally smooth the with a savgol filter with smoothing length tsmooth and order order. If you do so, the timeseries is resampled to regular timesteps.
 Parameters
use_splines (bool) – Wheter to use splines of finite differencing for the derivative.
tsmooth (float) – Time over which smoothing is applied.
order (int) – Order of the for the savgol smoothing.
 Returns
Time derivative of the complex phase.
 Return type

phase_frequency
(use_splines=True, tsmooth=None, order=3)[source]¶ Compute the phase frequency, i.e. the time derivative of the complex phase divided by 2 pi.
Optionally smooth the with a savgol filter with smoothing length tsmooth and order order. If you do so, the timeseries is resampled to regular timesteps.
 Parameters
use_splines (bool) – Wheter to use splines of finite differencing for the derivative.
tsmooth (float) – Time over which smoothing is applied.
order (int) – Order of the for the savgol smoothing.
 Returns
Time derivative of the complex phase divided by 2 pi
 Return type

phase_shift
(pshift)[source]¶ Shift the complex phase timeseries by
pshift
. If the signal is real, it is turned complex with phase ofpshift
. Parameters
pshift (float) – Amount of phase to shift.

phase_shifted
(pshift)[source]¶ Return a new
TimeSeries
with complex phase shifted bypshift
. If the signal is real, it is turned complex with phase ofpshift
. Parameters
pshift (float) – Amount of phase to shift.
 Returns
A new
TimeSeries
with phase shifted. Return type

redshift
(z)[source]¶ Apply redshift to the data by rescaling the time so that the frequencies are redshifted by
1 + z
. Parameters
z (float) – Redshift factor.

redshifted
(z)[source]¶ Return a new
TimeSeries
with time rescaled so that frequencies are redshifted by1 + z
. Parameters
z (float) – Redshift factor.
 Returns
A new redshifted
TimeSeries
. Return type

regular_resample
()[source]¶ Resample the timeseries to regularly spaced times, with the same number of points.

regular_resampled
()[source]¶ Return a new timeseries resampled to regularly spaced times, with the same number of points.
 Returns
Regularly resampled time series.
 Return type

resample
(new_x, ext=2, piecewise_constant=False)¶ Resample the series to new independent variable new_x.
If you want to resample without using the spline, and you want a nearest neighbor resampling, pass the keyword
piecewise_constant=True
. This may be a good choice for data with large discontinuities, where the splines are ineffective. Parameters
new_x (1D NumPy array or list of float) – New independent variable.
ext (0 for extrapolation, 1 for returning zero, 2 for ValueError, 3 for extending the boundary) – How to handle points outside the interval.
piecewise_constant (bool) – Do not use splines, use the nearest neighbors.

resampled
(new_x, ext=2, piecewise_constant=False)¶ Return a new series resampled from this to new_x.
You can specify the details of the spline with the method make_spline.
If you want to resample without using the spline, and you want a nearest neighbor resampling, pass the keyword
piecewise_constant=True
. This may be a good choice for data with large discontinuities, where the splines are ineffective. Parameters
new_x (1D NumPy array or list of float) – New independent variable.
ext (0 for extrapolation, 1 for returning zero, 2 for
ValueError
, 3 for extending the boundary) – How to handle points outside the data interval.piecewise_constant (bool) – Do not use splines, use the nearest neighbors.
 Returns
Resampled series.
 Return type
BaseSeries
or derived class

save
(file_name, *args, **kwargs)¶ Saves into simple ASCII format with 2 columns
(x, y)
for real valued data and 3 columns(x, Re(y), Im(y))
for complex valued data.Unknown arguments are passed to
NumPy.savetxt
. Parameters
file_name (str) – Path (with extension) of the output file.

savgol_smooth
(window_size, order=3)¶ Smooth the series with a SavitzkyGolay filter with window of size
window_size
and orderorder
.This is just like a regular “Moving average” filter, but instead of just calculating the average, a polynomial (usually 2nd or 4th order) fit is made for every point, and only the “middle” point is chosen. Since 2nd (or 4th) order information is concerned at every point, the bias introduced in “moving average” approach at local maxima or minima, is circumvented.
 Parameters
window_size (int) – Number of points of the smoothing window (needs to be odd).
order (int) – Order of the filter.

savgol_smooth_time
(tsmooth, order=3)[source]¶ Resample the timeseries with uniform timesteps, smooth it with
savgol_smooth
with a window that istsmooth
in time (as opposed to a number of points). Parameters
tsmooth (float) – Time interval over which to smooth.
order (int) – Order of the filter.

savgol_smoothed
(window_size, order=3)¶ Return a smoothed series with a SavitzkyGolay filter with window of size
window_size
and orderorder
.This is just like a regular “Moving average” filter, but instead of just calculating the average, a polynomial (usually 2nd or 4th order) fit is made for every point, and only the “middle” point is chosen. Since 2nd (or 4th) order information is concerned at every point, the bias introduced in “moving average” approach at local maxima or minima, is circumvented.
 Parameters
window_size (int) – Number of points of the smoothing window (needs to be odd).
order (int) – Order of the filter.
 Returns
New smoothed series.
 Return type
BaseSeries
or derived class

savgol_smoothed_time
(tsmooth, order=3)[source]¶ Return a resampled timeseries with uniform timesteps, smoothed with
savgol_smooth
with a window that istsmooth
in time (as opposed to a number of points). Parameters
tsmooth (float) – Time interval over which to smooth.
order (int) – Order of the filter.
 Returns
New smoothed and resampled
TimeSeries
. Return type

spline_differentiate
(order=1)¶ Differentiate the series using the spline representation.
The optional parameter
order
specifies the order of the derivative.Warning
The values at the boundary are typically not accurate.
 Parameters
order (int) – Order of derivative (e.g. 2 = second derivative).

spline_differentiated
(order=1)¶ Return a series that is the derivative of the current one using the spline representation.
The optional parameter
order
specifies the order of the derivative.Warning
The values at the boundary are typically not accurate.
 Parameters
order (int) – Order of derivative (e.g. 2 = second derivative).
 Returns
New series with derivative
 Return type
BaseSeries
or derived class

property
t
¶ Return the time.
 Returns
Times.
 Return type
1d NumPy array.

time_at_maximum
(absolute=True)[source]¶ Return the time at which the timeseries is maximum.
 Parameters
absolute (bool) – Whether to take the absolute value of the data.
 Returns
Time at maximum. If
absolute
is True, then time at absolute maximum. Return type
float

time_at_minimum
(absolute=True)[source]¶ Return the time at which the timeseries is minimum.
 Parameters
absolute (bool) – Whether to take the absolute value of the data.
 Returns
Time at minimum. If
absolute
is True, then time at absolute minimum. Return type
float

property
time_length
¶ Return the length of the covered time interval.
 Returns
Length of time covered by the timeseries (tmax  tmin).
 Return type
float

time_shift
(tshift)[source]¶ Shift the timeseries by
tshift
so that what was t = 0 will betshift
. Parameters
N (float) – Amount of time to shift.

time_shifted
(tshift)[source]¶ Return a new timeseries with time shifted by
tshift
so that what was t = 0 will betshift
. Parameters
tshift (float) – Amount of time to shift.
 Returns
A new
TimeSeries
with time shifted. Return type

time_unit_change
(unit, inverse=False)[source]¶ Rescale time units by unit.
This amounts to sending t to
t / unit
. For example, if initially the units where seconds, with unit=1e3 the new units will be milliseconds.When inverse is True, the opposite is done and t is sent to
t * unit
. This is useful to convert geometrized units to physical units withunitconv
. For example,# Gravitational waves in geometrized units gw_cu = TimeSeries(...) # Gravitational waves in seconds, assuming a mass of 1 M_sun CU = uc.geom_umass_msun(1) gw_s = gw_cu.time_unit_changed(CU.time, inverse=True)
 Parameters
unit (float) – New time unit.
inverse (bool) – If True, time = 1 > time = unit, otherwise time = unit > 1.

time_unit_changed
(unit, inverse=False)[source]¶ Return a new
TimeSeries
with time scaled byunit
.This amounts to sending t to
t / unit
. For example, if initially the units where seconds, with unit=1e3 the new units will be milliseconds.When inverse is True, the opposite is done and t is sent to
t * unit
. This is useful to convert geometrized units to physical units withunitconv
. For example,# Gravitational waves in geometrized units gw_cu = TimeSeries(...) # Gravitational waves in seconds, assuming a mass of 1 M_sun CU = uc.geom_umass_msun(1) gw_s = gw_cu.time_unit_changed(CU.time, inverse=True)
 Parameters
unit (float) – New time unit.
inverse (bool) – If True, time = 1 > time = unit, otherwise time = unit > 1.
 Returns
A
TimeSeries
with new time unit. Return type

property
tmax
¶ Return the final time.
 Returns
Final time of the timeseries.
 Return type
float

property
tmin
¶ Return the starting time.
 Returns
Initial time of the timeseries.
 Return type
float

to_FrequencySeries
()[source]¶ Return a
FrequencySeries
that is the Fourier transform of the timeseries.If the signal is not complex, only positive frequencies are kept.
If the timeseries is not regularly sampled, it will be resampled before transforming.
:: warning:
To have meaningful results, you should consider removing the mean and windowing the signal before calling this method!
 Returns
Fourier Transform.
 Return type

tukey_window
(alpha)[source]¶ Apply Tukey window with parameter
alpha
. Parameters
alpha (float) – Tukey parameter.

tukey_windowed
(alpha)[source]¶ Return a
TimeSeries
with Tukey window with parameteralpha
applied. Parameters
alpha (float) – Tukey parameter.
 Returns
New windowed
TimeSeries
. Return type

unfolded_phase
(t_of_zero_phase=None)[source]¶ Compute the complex phase of a complexvalued signal such that no phase wraparound occur, i.e. if the input is continuous, so is the output. Optionally, add a phase shift such that phase is zero at the given time.
 Parameters
t_of_zero_phase (float or None) – Time at which the phase is set to zero.
 Returns
Continuous complex phase.
 Return type

property
values
¶ Fake pandas properties, to make Series objects plottable by matplotlib.

window
(window_function, *args, **kwargs)[source]¶ Apply window_function to the data.
window_function
has to be a function that takes as first argument the number of points of the signal.window_function
can take additional arguments as passed bywindowed
. Alternatively,window_function
can be a string with the name of the window function, if this is already implemented inTimeSeries
(e.g.,tukey
). Parameters
window_function (callable or str) – Window function to apply to the timeseries.

windowed
(window_function, *args, **kwargs)[source]¶ Return a
TimeSeries
windowed withwindow_function
.window_function
has to be a function that takes as first argument the number of points of the signal.window_function
can take additional arguments as passed bywindowed
. Alternatively,window_function
can be a string with the name of the window function, if this is already implemented inTimeSeries
(e.g.,tukey
). Parameters
window_function (callable or str) – Window function to apply to the timeseries.
 Returns
New windowed
TimeSeries
. Return type

x_at_abs_maximum_y
()¶ Return the value of x when abs(y) is maximum.
 Returns
Value of x when abs(y) is maximum.
 Return type
float

x_at_abs_minimum_y
()¶ Return the value of x when abs(y) is minimum.
 Returns
Value of x when abs(y) is minimum.
 Return type
float

x_at_maximum_y
()¶ Return the value of x when y is maximum.
 Returns
Value of x when y is maximum.
 Return type
float

x_at_minimum_y
()¶ Return the value of x when y is minimum.
 Returns
Value of x when y is minimum.
 Return type
float

property
xmax
¶ Return the maximum of the independent variable x.
 Rvalue
Maximum of x
 Return type
float

property
xmin
¶ Return the minimum of the independent variable x.
 Rvalue
Minimum of x.
 Return type
float

zero_pad
(N)[source]¶ Pad the timeseries with zeros so that it has a total of N points.
This operation will work only if the timeseries is equispaced and if N is larger than the number of points already present.
Note
N
is the final number of points, not the number of points added. Parameters
N (int) – Total number new points with zeros at the end.

zero_padded
(N)[source]¶ Return a
TimeSeries
that is zeropadded and that has in totalN
points.Note
N
is the final number of points, not the number of points added.This operation will work only if the series is equispaced.
 Parameters
N (int) – Total number of points of the output.
 Returns
A new timeseries with in total N points where all the trailing ones are zero.
 Return type

kuibit.timeseries.
combine_ts
(series, prefer_late=True)[source]¶ Combine several overlapping time series into one.
In intervals covered by two or more time series, which data is used depends on the parameter prefer_late. If two segments start at the same time, the longer one gets used.
 Parameters
series (list of
TimeSeries
) – The timeseries to combine.prefer_late – If true, prefer data that starts later for overlapping segments, otherwise, use data from the ones that come earlier.
 Returns
The combined time series
 Return type

kuibit.timeseries.
remove_duplicated_iters
(t, y)[source]¶ Remove overlapping segments from a time series in (t,y).
Only the latest of overlapping segments is kept, the rest removed.
This function is used for cleaning up simulations with multiple checkpoints.
Note, if t = [1, 2, 3, 4, 2, 3] the output will be [1, 2, 3]. The ‘4’ is discarded because it is not the last segment. The idea is that if this corresponds to a simulation restart, you may have changed the paramters, so that 4 is not anymore correct. We consider the second restart the “truth”.
 Parameters
t (1D NumPy array) – Times.
y – Values.
 Returns
Strictly monotonic time series.
 Return type