--- /dev/null
+####################################################################
+##
+## File: aux.r
+##
+## Description: Miscelaneous functions for clustering with kcca
+##
+## Modified: june 2010
+##
+####################################################################
+
+
+ #######################################################
+
+ # Transforms a matrix of data (one observation by row)
+ # into an array where position[ , , i] gives
+ # the smoothed modulus of the i-th cwt observation
+
+ ########################################################
+
+
+##NOTE: renvoie une matrice 3D
+ toCWT <- function(X, sw= 0, tw= 0, swabs= 0,
+ nvoice= 12, noctave= 5,
+ s0= 2, w0= 2*pi, lt= 24, dt= 0.5,
+ spectra = FALSE, smooth = TRUE,
+ scaled = FALSE,
+ scalevector)
+ { noctave <- adjust.noctave(lt, dt, s0, tw, noctave)
+ if(missing(scalevector))
+ scalevector <- 2^(0:(noctave * nvoice) / nvoice) * s0
+ res <- lapply(1:nrow(X), function(n)
+ { tsX <- ts( X[n,] )
+ tsCent <- tsX - mean(tsX)
+ if(scaled) tsCent <- ts(scale(tsCent))
+ tsCent.cwt <- cwt.ts(tsCent, s0, noctave, nvoice, w0)
+ tsCent.cwt
+ } )
+ if( spectra ) res <- lapply(res, function(l) Mod(l)^2 )
+ if( smooth ) res <- lapply(res, smCWT, swabs = swabs,
+ tw = tw, dt = dt,
+ scalevector = scalevector)
+ resArray <- array(NA, c(nrow(res[[1]]), ncol(res[[1]]),
+ length(res)))
+ for( l in 1:length(res) ) resArray[ , , l] <- res[[l]]
+ resArray
+ }
+
+
+ # ===============================================================
+
+ smCWT <- function(CWT, sw= 0, tw= 0, swabs= 0,
+ nvoice= 12, noctave= 2, s0= 2, w0= 2*pi,
+ lt= 24, dt= 0.5, scalevector )
+ {
+# noctave <- adjust.noctave(lt, dt, s0, tw, noctave)
+# scalevector <- 2^(0:(noctave * nvoice) / nvoice) * s0
+ wsp <- Mod(CWT)
+ smwsp <- smooth.matrix(wsp, swabs)
+ smsmwsp <- smooth.time(smwsp, tw, dt, scalevector)
+ smsmwsp
+ }
+
+
+ # ===============================================================
+
+ toDWT <- function(x, filter.number = 6, family = "DaubLeAsymm")
+{ x2 <- spline(x, n = 2^ceiling( log(length(x), 2) ),
+ method = 'natural')$y
+ Dx2 <- wd(x2, family = family, filter.number = filter.number)$D
+ Dx2
+}
+
+ # ===============================================================
+
+ contrib <- function(x)
+ { J <- log( length(x)+1, 2)
+ nrj <- numeric(J)
+ t0 <- 1
+ t1 <- 0
+ for( j in 1:J ) {
+ t1 <- t1 + 2^(J-j)
+ nrj[j] <- sqrt( sum( x[t0:t1]^2 ) )
+ t0 <- t1 + 1
+ }
+ return(nrj)
+ }
+
+
+ # ========================================= distance for coh ===
+
+ coherence <- function( x, y)
+ { J <- log(length(x) + 1, 2)
+ t0 <- 1
+ sg2_x <- 0
+ sg2_y <- 0
+ sg_xy <- 0
+ for(j in 0:(J - 1))
+ { t1 <- t0 + 2^(J - j)/2 - 1
+ tt <- t0:t1
+ sg2_x <- sg2_x + mean(x[t0:t1]^2)
+ sg2_y <- sg2_y + mean(y[t0:t1]^2)
+ sg_xy <- sg_xy + mean(x[t0:t1] * y[t0:t1])
+ t0 <- t1 + 1
+ }
+ res <- sg_xy^2 / sg2_x / sg2_y
+ res
+ }
+
+
+ vect2mat <- function(vect){
+ vect <- as.vector(vect)
+ matrix(vect[-(1:2)], delta, lscvect)
+ }
+
+
+ # ========================================= # myimg for graphics
+ jet.colors <- colorRampPalette(c("#00007F", "blue", "#007FFF",
+ "cyan", "#7FFF7F", "yellow",
+ "#FF7F00", "red", "#7F0000"))
+
+ myimg <- function(MAT, x = 1:nrow(MAT), y = 1:col(MAT), ... )
+ filled.contour( x = x, y = y, z = MAT,
+ xlab= 'Time', ylab= 'scale',
+ color.palette = jet.colors,
+ ... )
+
+