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freqdom (version 1.0.4)

Frequency Domain Analysis for Multivariate Time Series

Description

Methods for the analysis of multivariate time series using frequency domain techniques. Implementations of dynamic principle components analysis (DPCA) and estimators of operators in lagged regression. Examples of usage in functional data analysis setup.

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Version

Install

install.packages('freqdom')

Monthly Downloads

401

Version

1.0.4

License

GPL-3

Maintainer

Kidzinski L

Last Published

September 6th, 2015

Functions in freqdom (1.0.4)

dprcomp

Compute DPCA filter coefficients
speclagreg

Estimate regresson operators in a lagged linear model
freqdom.eigen

Eigendevompose a frequency domain operator at each frequency
timedom.norms

Compute operator norms of elements of a filter
invfourier

Inverse Fourier transform for operators
dpca.scores

Compute scores of dynamic principal components
dpca.inverse

Retrieve a process from given scores
linproc

Generate a linear process from
reg.dim.est

Estimate the optimal dimension in linear regression problem
%c%

Convolution of a process X with an operator A.
reg.est

Estimate the optimal dimension in linear regression problem
freqdom.ratio

Compute a ratio of two spectral densities
reglag.significance

Test significance of coefficients in linear model estimator
%x%

Frequency-wise or component-wise Kronecker product.
fourier.transform

Compute fourier transform of given series of operators
rbb

Generate brownian bridges
spectral.density

Compute the cross spectral density of processes X and Y
norm.spec

Compute a spectral norm of given matrix P
rma

Moving avarege process
plot.freqdom

Plot a frequency domain operator
timedom.trunc

Truncates a time domain object to specified lags
MSE

Compute a mean square error between X and Y
lagged.cov

Compute cross covariance with a given lag
speclagreg.K

freqdom.transpose

Transpose pointwise timedom or freqdom object
%*%

Frequency-wise or component-wise matrix product.
freqdom

Create a frequency domain operator
is.freqdom

Check if a given object is a frequency domain matrix
rar

Simulate a multivariate autoregressive time series
freqdom.kronecker

Compute a kronecker product of two spectral densities
lagreg.est

Estimate the optimal dimension in linear regression problem
filter.process

Generate a linear process from
cov.structure

Estimate the covariance structure within a given window \(k \in [-q,q]\)
freqdom.product

Compute a product of two spectral densities
timedom

Creates a time domain operator
pseudoinverse

Invert first K eigendirections of the matrix.
freqdom.inverse

Compute an inverse of a given Frequency Domain Operator
is.timedom

Check if a given object is a time domain object
rbm

Generate brownian motions