# Basic Wavelet Routines for One-, Two-, and Three-Dimensional Signal Processing

## Documentation for package ‘waveslim’ version 1.8.2

- DESCRIPTION file.

## Help Pages

A B C D E F H I J K L M N O P Q R S T U W X

## -- A --

acvs.andel10 | Autocovariance and Autocorrelation Sequences for a Seasonal Persistent Process
acvs.andel11 | Autocovariance and Autocorrelation Sequences for a Seasonal Persistent Process
acvs.andel8 | Autocovariance and Autocorrelation Sequences for a Seasonal Persistent Process
acvs.andel9 | Autocovariance and Autocorrelation Sequences for a Seasonal Persistent Process
afb | Filter Banks for Dual-Tree Wavelet Transforms
afb2D | Filter Banks for Dual-Tree Wavelet Transforms
afb2D.A | Filter Banks for Dual-Tree Wavelet Transforms
AntonB | Kingsbury's Q-filters for the Dual-Tree Complex DWT
ar1 | Simulated AR(1) Series

## -- B --

bandpass.fdp | Bandpass Variance for Long-Memory Processes
bandpass.spp | Bandpass Variance for Long-Memory Processes
bandpass.spp2 | Bandpass Variance for Long-Memory Processes
bandpass.var.spp | Bandpass Variance for Long-Memory Processes
barbara | Barbara Test Image
basis | Produce Boolean Vector from Wavelet Basis Names
bishrink | Wavelet Shrinkage via Thresholding
blocks | A Piecewise-Constant Function
brick.wall | Replace Boundary Wavelet Coefficients with Missing Values

## -- C --

convolve2D | Fast Column-wise Convolution of a Matrix
cpgram.test | Testing the Wavelet Packet Tree for White Noise
cpi | U.S. Consumer Price Index
cplxdual2D | Dual-tree Complex 2D Discrete Wavelet Transform
cshift | Miscellaneous Functions for Dual-Tree Wavelet Software
cshift2D | Miscellaneous Functions for Dual-Tree Wavelet Software
css.test | Testing the Wavelet Packet Tree for White Noise

## -- D --

da.thresh | Wavelet Shrinkage via Thresholding
dau | Digital Photograph of Ingrid Daubechies
denoise.dwt.2d | Denoise an Image via the 2D Discrete Wavelet Transform
denoise.modwt.2d | Denoise an Image via the 2D Discrete Wavelet Transform
doppler | Sinusoid with Changing Amplitude and Frequency
dpss.taper | Calculating Thomson's Spectral Multitapers by Inverse Iteration
dualfilt1 | Kingsbury's Q-filters for the Dual-Tree Complex DWT
dualtree | Dual-tree Complex Discrete Wavelet Transform
dualtree2D | Dual-tree Complex Discrete Wavelet Transform
dwpt | (Inverse) Discrete Wavelet Packet Transforms
dwpt.2d | (Inverse) Discrete Wavelet Packet Transforms in Two Dimensions
dwpt.boot | Bootstrap Time Series Using the DWPT
dwpt.brick.wall | Replace Boundary Wavelet Coefficients with Missing Values
dwpt.sim | Simulate Seasonal Persistent Processes Using the DWPT
dwt | Discrete Wavelet Transform (DWT)
dwt.2d | Two-Dimensional Discrete Wavelet Transform
dwt.3d | Three Dimensional Separable Discrete Wavelet Transform
dwt.hilbert | Discrete Hilbert Wavelet Transforms
dwt.hilbert.nondyadic | Discrete Hilbert Wavelet Transforms
dwt.nondyadic | Discrete Wavelet Transform (DWT)

## -- E --

entropy.test | Testing the Wavelet Packet Tree for White Noise
exchange | Exchange Rates Between the Deutsche Mark, Japanese Yen and U.S. Dollar

## -- F --

farras | Farras nearly symmetric filters
fdp.mle | Wavelet-based Maximum Likelihood Estimation for a Fractional Difference Process
fdp.sdf | Spectral Density Functions for Long-Memory Processes
find.adaptive.basis | Determine an Orthonormal Basis for the Discrete Wavelet Packet Transform
FSfarras | Farras nearly symmetric filters

## -- H --

heavisine | Sine with Jumps at 0.3 and 0.72
hilbert.filter | Select a Hilbert Wavelet Pair
hosking.sim | Generate Stationary Gaussian Process Using Hosking's Method
hybrid.thresh | Wavelet Shrinkage via Thresholding
Hypergeometric | Variance of a Seasonal Persistent Process

## -- I --

ibm | Daily IBM Stock Prices
icplxdual2D | Dual-tree Complex 2D Discrete Wavelet Transform
idualtree | Dual-tree Complex Discrete Wavelet Transform
idualtree2D | Dual-tree Complex Discrete Wavelet Transform
idwpt | (Inverse) Discrete Wavelet Packet Transforms
idwpt.2d | (Inverse) Discrete Wavelet Packet Transforms in Two Dimensions
idwt | Discrete Wavelet Transform (DWT)
idwt.2d | Two-Dimensional Discrete Wavelet Transform
idwt.3d | Three Dimensional Separable Discrete Wavelet Transform
idwt.hilbert | Discrete Hilbert Wavelet Transforms
imodwt | (Inverse) Maximal Overlap Discrete Wavelet Transform
imodwt.2d | Two-Dimensional Maximal Overlap Discrete Wavelet Transform
imodwt.3d | Three Dimensional Separable Maximal Ovelrap Discrete Wavelet Transform
imodwt.hilbert | Discrete Hilbert Wavelet Transforms

## -- J --

japan | Japanese Gross National Product
jumpsine | Sine with Jumps at 0.625 and 0.875

## -- K --

kobe | 1995 Kobe Earthquake Data

## -- L --

linchirp | Linear Chirp

## -- M --

manual.thresh | Wavelet Shrinkage via Thresholding
mexm | Mexican Money Supply
modhwt.coh | Time-varying and Seasonal Analysis Using Hilbert Wavelet Pairs
modhwt.coh.seasonal | Time-varying and Seasonal Analysis Using Hilbert Wavelet Pairs
modhwt.phase | Time-varying and Seasonal Analysis Using Hilbert Wavelet Pairs
modhwt.phase.seasonal | Time-varying and Seasonal Analysis Using Hilbert Wavelet Pairs
modwpt | (Inverse) Discrete Wavelet Packet Transforms
modwpt.hilbert | Discrete Hilbert Wavelet Transforms
modwt | (Inverse) Maximal Overlap Discrete Wavelet Transform
modwt.2d | Two-Dimensional Maximal Overlap Discrete Wavelet Transform
modwt.3d | Three Dimensional Separable Maximal Ovelrap Discrete Wavelet Transform
modwt.hilbert | Discrete Hilbert Wavelet Transforms
mra | Multiresolution Analysis of Time Series
mra.2d | Multiresolution Analysis of an Image
mra.3d | Three Dimensional Multiresolution Analysis
mult.loc | Wavelet-based Testing and Locating for Variance Change Points
my.acf | Autocovariance Functions via the Discrete Fourier Transform
my.ccf | Autocovariance Functions via the Discrete Fourier Transform

## -- N --

nile | Nile River Minima

## -- O --

ortho.basis | Derive Orthonormal Basis from Wavelet Packet Tree

## -- P --

per | Periodogram
phase.shift | Phase Shift Wavelet Coefficients
phase.shift.hilbert | Phase Shift for Hilbert Wavelet Coefficients
phase.shift.hilbert.packet | Phase Shift for Hilbert Wavelet Coefficients
phase.shift.packet | Phase Shift Wavelet Coefficients
plot.dwt.2d | Plot Two-dimensional Discrete Wavelet Transform
pm | Miscellaneous Functions for Dual-Tree Wavelet Software
portmanteau.test | Testing the Wavelet Packet Tree for White Noise

## -- Q --

qmf | Quadrature Mirror Filter

## -- R --

rotcumvar | Rotated Cumulative Variance

## -- S --

sfb | Filter Banks for Dual-Tree Wavelet Transforms
sfb2D | Filter Banks for Dual-Tree Wavelet Transforms
sfb2D.A | Filter Banks for Dual-Tree Wavelet Transforms
sfd.sdf | Spectral Density Functions for Long-Memory Processes
shift.2d | Circularly Shift Matrices from a 2D MODWT
sine.taper | Computing Sinusoidal Data Tapers
soft | Wavelet Shrinkage via Thresholding
spin.correlation | Compute Wavelet Cross-Covariance Between Two Time Series
spin.covariance | Compute Wavelet Cross-Covariance Between Two Time Series
spp.mle | Wavelet-based Maximum Likelihood Estimation for Seasonal Persistent Processes
spp.sdf | Spectral Density Functions for Long-Memory Processes
spp.var | Variance of a Seasonal Persistent Process
spp2.mle | Wavelet-based Maximum Likelihood Estimation for Seasonal Persistent Processes
spp2.sdf | Spectral Density Functions for Long-Memory Processes
squared.gain | Squared Gain Function of a Filter
stackPlot | Stack Plot
sure.thresh | Wavelet Shrinkage via Thresholding

## -- T --

testing.hov | Testing for Homogeneity of Variance
Thresholding | Wavelet Shrinkage via Thresholding
tourism | U.S. Tourism

## -- U --

unemploy | U.S. Unemployment
universal.thresh | Wavelet Shrinkage via Thresholding
universal.thresh.modwt | Wavelet Shrinkage via Thresholding
up.sample | Upsampling of a vector

## -- W --

wave.correlation | Wavelet Analysis of Univariate/Bivariate Time Series
wave.covariance | Wavelet Analysis of Univariate/Bivariate Time Series
wave.filter | Select a Wavelet Filter
wave.variance | Wavelet Analysis of Univariate/Bivariate Time Series
wavelet.filter | Higher-Order Wavelet Filters

## -- X --

xbox | Image with Box and X