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waveslim (version 1.12)

Basic wavelet routines for time series and image analysis

Description

Basic wavelet routines for time series and image analysis. The code provided here is based on wavelet methodology developed in Percival and Walden (2000) along with Gencay, Selcuk and Whitcher (2001). All figures in chapters 4-7 of GSW are reproducible using this package and R code available at the book website below.

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Version

Install

install.packages('waveslim')

Monthly Downloads

3,957

Version

1.12

License

GPL version 2 or newer

Last Published

June 4th, 2024

Functions in waveslim (1.12)

basis

Produce Boolean Vector from Wavelet Basis Names
dpss.taper

Calculating Thomson's Spectral Multitapers by Inverse Iteration
ortho.basis

Derive Orthonormal Basis from Wavelet Packet Tree
xbox

Image with Box and X
shift.2d

Circularly Shift Matrices from a 2D MODWT
brick.wall

Replace Boundary Wavelet Coefficients with Missing Values
denoise.2d

Denoise an Image via the 2D Discrete Wavelet Transform
ar1

Simulated AR(1) Series
dwt.2d

Two-Dimensional Discrete Wavelet Transform
mra.2d

Multiresolution Analysis of an Image
modwt.2d

Two-Dimensional Maximal Overlap Discrete Wavelet Transform
up.sample

Upsampling of a vector
japan

Japanese Gross National Product
wavelet.filter

Higher-Order Wavelet Filters
hosking.sim

Generate Stationary Gaussian Process Using Hosking's Method
squared.gain

Squared Gain Function of a Filter
wave.variance

Wavelet Analysis of Univariate/Bivariate Time Series
wpt.test

Testing the Wavelet Packet Tree for White Noise
acvs.andel8

Autocovariance and Autocorrelation Sequences for a Seasonal Persistent Process
tourism

U.S. Tourism
modwt

(Inverse) Maximal Overlap Discrete Wavelet Transform
testing.hov

Testing for Homogeneity of Variance
Thresholding

Wavelet Shrinkage via Thresholding
mexm

Mexican Money Supply
dau

Digital Photograph of Ingrid Daubechies
ibm

Daily IBM Stock Prices
mult.loc

Wavelet-based Testing and Locating for Variance Change Points
kobe

1995 Kobe Earthquake Data
blocks

A Piecewise-Constant Function
heavisine

Sine with Jumps at 0.3 and 0.72
cpi

U.S. Consumer Price Index
spin.covariance

Compute Wavelet Cross-Covariance Between Two Time Series
fdp.mle

Wavelet-based Maximum Likelihood Estimation for a Fractional Difference Process
dwpt

(Inverse) Discrete Wavelet Packet Transforms
jumpsine

Sine with Jumps at 0.625 and 0.875
plot.dwt.2d

Plot Two-dimensional Discrete Wavelet Transform
phase.shift

Phase Shift Wavelet Coefficients
doppler

Sinusoid with Changing Amplitude and Frequency
dwt

Discrete Wavelet Transform (DWT)
qmf

Quadrature Mirror Filter
exchange

Exchange Rates Between the Deutsche Mark, Japanese Yen and U.S. Dollar
sine.taper

Computing Sinusoidal Data Tapers
mra

Multiresolution Analysis of Time Series
wave.filter

Select a Wavelet Filter
rotcumvar

Rotated Cumulative Variance
unemploy

U.S. Unemployment
stack.plot

Stack Plot
linchirp

Linear Chirp
my.acf

Auotocovariance Function via the Discrete Fourier Transform