Nothing
#' Invert Translation Invariant Wavelet Transform
#'
#' @export IWT_TI
#' @param pkt translation-invariant wavelet transform table (TIWT).
#' @param qmf orthonormal quadrature mirror filter.
#' @return \code{x} 1-d signal reconstructed from translation-invariant transform TIWT.
#' @examples
#' x <- MakeSignal('Ramp', 8)
#' L <- 0
#' qmf <- MakeONFilter('Haar')
#' TIWT <- FWT_TI(x, L, qmf)
#' xr <- IWT_TI(TIWT,qmf)
#' @seealso \code{\link{FWT_TI}}, \code{\link{MakeONFilter}}.
IWT_TI <- function(pkt, qmf) {
n <- dim(pkt)[1]
D1 <- dim(pkt)[2]
D <- D1 - 1
J <- log2(n)
wp <- pkt
sig <- t(wp[, 1])
for (d in seq(D - 1, 0, -1)) {
for (b in 0:(2^(d) - 1)) {
hsr <- t(wp[packet(d + 1, 2 * b, n), d + 2])
hsl <- t(wp[packet(d + 1, 2 * b + 1, n), d + 2])
lsr <- sig[packet(d + 1, 2 * b, n)]
lsl <- sig[packet(d + 1, 2 * b + 1, n)]
loterm <- (UpDyadLo(lsr, qmf) + lshift(UpDyadLo(lsl, qmf)))/2
hiterm <- (UpDyadHi(hsr, qmf) + lshift(UpDyadHi(hsl, qmf)))/2
sig[packet(d, b, n)] <- loterm + hiterm
}
}
x <- as.vector(t(sig))
return(x)
}
# Copyright (c) 1994. David L. Donoho
# Part of Wavelab Version 850 Built Tue Jan 3 13:20:40 EST 2006 This is
# Copyrighted Material For Copying permissions see COPYING.m Comments? e-mail
# wavelab@stat.stanford.edu
Any scripts or data that you put into this service are public.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.