úÎ!ZþV–C      !"#$%&'()*+,-./0123456789:;<=>?@ABNone-QSTV]ïCemd>Treats every item in a "plateu" as a local minimum or maximum.CNone -FSTVi ýDemd :https://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm Will return E8 if the matrix is not invertible. This will happen if: +The first item in the main diagonal is zeroœThere is any i such that b_{i + 1} = a_i * c_i. That is, an item in the main diagonal is equal to the product of the off-diagonal elements a row above itAnother mystery condition!Demda: Bottom diagonal of Memdb: Main diagonal of Memdc: Upper diagonal of Memdyemdx such that M x = yD(c) Justin Le 2018BSD3 justin@jle.im experimental non-portableNone "#&'-/STViH emd1D Cubic splineFemdaGemdbHemdy_{i-1}Iemdy_iJemd x_i - x_{i-1}emdEnd condition for splineemd!Sample a spline at a given point.emdaBuild a cubic spline based on control points using given end conditions (not-a-knot, or natural) 2https://en.wikipedia.org/wiki/Spline_interpolationemd(x, y)Kemdderivative at left endemdderivative at right end(c) Justin Le 2018BSD3 justin@jle.im experimental non-portableNone"#&',-FSTV]i,¦ emdVThe result of a sifting operation. Each sift either yields a residual, or a new IMF. emdnumber of sifting iterationsemdAn  v n a; is an Empirical Mode Decomposition of a time series with n items of type a stored in a vector v.emd#Stop conditions for sifting processemdStop using standard SD methodemd/Stop after a fixed number of sifting iterationsemdOne or the otheremd!Stop when both conditions are metemd4Clamp envelope at end points (Matlab implementation)emdExtend boundaries symmetricallyemdOptions for EMD composition.emdstop condition for siftingemd#end conditions for envelope splinesemdprocess for handling boundaryemdDefault  emdDefault LemdM if stop!emdNEMD decomposition of a given time series with a given sifting stop condition.$Takes a sized vector to ensure that: The resulting D contains IMFs that are all the same length as the input vector,We provide a vector of size of at least one."emd!n, but tracing results to stdout as IMFs are found. Useful for debugging to see how long each step is taking.#emd!$ with a callback for each found IMF.$emdFIterated sifting process, used to produce either an IMF or a residual.Nemd Single sift%emd@Returns cubic splines of local minimums and maximums. Returns EJ if there are not enough local minimum or maximums to create the splines.Oemd7Build a splined vector against a map of control points.Oemd extensions  !"#$%!"# $ %(c) Justin Le 2018BSD3 justin@jle.im experimental non-portableNone "#-<STViUz 0emdA Hilbert-Huang Transform. An 0 v n a% is a Hilbert-Huang transform of an n#-item time series of items of type a represented using vector v. Create using 7 or 8.3emd?A Hilbert Trasnform of a given IMF, given as a "skeleton line".5emd"IMF HHT Magnitude as a time series6emdBIMF HHT instantaneous frequency as a time series (between 0 and 1)7emdfDirectly compute the Hilbert-Huang transform of a given time series. Essentially is a composition of 8 and !. See 8 for a more flexible version.8emdOCompute the Hilbert-Huang transform from a given Empirical Mode Decomposition.9emdÅCompute the full Hilbert-Huang Transform spectrum. At each timestep is a sparse map of frequency components and their respective magnitudes. Frequencies not in the map are considered to be zero.aTakes a "binning" function to allow you to specify how specific you want your frequencies to be.:emd¥Compute the marginal spectrum given a Hilbert-Huang Transform. A binning function is accepted to allow you to specify how specific you want your frequencies to be.;emdcCompute the instantaneous energy of the time series at every step via the Hilbert-Huang Transform.<emd3Degree of stationarity, as a function of frequency.=emd1Given a time series, return a time series of the  magnitude# of the hilbert transform and the  frequencyo of the hilbert transform, in units of revolutions per tick. Is only expected to taken in proper/legal IMFs.¸The frequency will always be between 0 and 1, since we can't determine anything faster given the discretization, and we exclude negative values as physically unmeaningful for an IMF.>emd§Real part is original series and imaginary part is hilbert transformed series. Creates a "helical" form of the original series that rotates along the complex plane.ŒNumerically assumes that the signal is zero everywhere outside of the vector, instead of the periodic assumption taken by matlab's version.?emd«Hilbert transformed series. Essentially the same series, but phase-shifted 90 degrees. Is so-named because it is the "imaginary part" of the proper hilbert transform, >.ŒNumerically assumes that the signal is zero everywhere outside of the vector, instead of the periodic assumption taken by matlab's version.9emd7binning function. takes rev/tick freq between 0 and 1.:emd7binning function. takes rev/tick freq between 0 and 1.<emd7binning function. takes rev/tick freq between 0 and 1.# 0123456789:;<=>?#879:;<0123456 >?=P      !"#$%&'()*+,-./012345567789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVW"emd-0.1.2.0-IUiJu3BK8GBA2griKtUUEHNumeric.EMD.Internal.Spline Numeric.EMD Numeric.HHTNumeric.EMD.Internal.Extrema Numeric.EMD.Internal.TridiagonalSpline SplineEnd SENotAKnot SENatural SEClamped sampleSpline makeSpline$fShowSplineEnd $fEqSplineEnd$fOrdSplineEnd$fShowSplineCoef SiftResult SRResidualSRIMFEMDemdIMFs emdResidual SiftConditionSCStdDevSCTimesSCOrSCAndBoundaryHandlerBHClamp BHSymmetricEMDOptsEOeoSiftCondition eoSplineEndeoBoundaryHandler defaultEO defaultSCemdemdTraceemd'sift envelopes$fShowBoundaryHandler$fEqBoundaryHandler$fOrdBoundaryHandler$fShowSiftCondition$fEqSiftCondition$fOrdSiftCondition $fShowEMDOpts $fEqEMDOpts $fOrdEMDOpts $fShowEMDHHThhtLinesHHTLinehlMagshlFreqshhthhtEmd hhtSpectrummarginalinstantaneousEnergydegreeOfStationarityhilbertMagFreqhilbert hilbertIm $fShowHHTLine $fEqHHTLine $fOrdHHTLineextremasolveTridiagonalbaseGHC.BaseNothing_scAlpha_scBeta _scGamma0 _scGamma1_scDeltaclamped testConditionghc-prim GHC.TypesTruesift' splineAgainst