wt: Computes the wavelet transform of a timeseries. Also the...
In wsyn: Wavelet Approaches to Studies of Synchrony in Ecology and Other Fields

Description Usage Arguments Value Note Author(s) See Also Examples

Computes the wavelet transform of a timeseries. Also the creator function for the wt class. The wt class inherits from the tts class, which inherits from the list class.

wt(
  t.series,
  times,
  scale.min = 2,
  scale.max.input = NULL,
  sigma = 1.05,
  f0 = 1
)

`t.series`	A timeseries of real values
`times`	A vector of time step values (e.g., years), spacing 1
`scale.min`	The smallest scale of fluctuation that will be examined. At least 2.
`scale.max.input`	The largest scale of fluctuation that is guaranteed to be examined
`sigma`	The ratio of each time scale examined relative to the next timescale. Should be greater than 1.
`f0`	The ratio of the period of fluctuation to the width of the envelope. Defaults to 1.

wt returns an object of class wt. Slots are:

`values`	A matrix of complex numbers, of dimensions `length(t.series)` by the number of timescales. Entries not considered reliable (longer timescales, near the edges of the time span) are set to NA.
`times`	The time steps specified (e.g. years)
`wtopt`	The inputted wavelet transform options scale.min, scale.max.input, sigma, f0 in a list
`timescales`	The timescales (1/frequency) computed for the wavelet transform
`dat`	The data vector from which the transform was computed

Important for interpreting the phase: the phases grow through time, i.e., they turn anti-clockwise.

Lawrence Sheppard lwsheppard@ku.edu, Jonathan Walter jaw3es@virginia.edu, Daniel Reuman reuman@ku.edu

wt_methods, tts, plotmag, plotphase, browseVignettes("wsyn")

time1<-1:100
time2<-101:200
ts1p1<-sin(2*pi*time1/15)
ts1p2<-0*time1
ts2p1<-0*time2
ts2p2<-sin(2*pi*time2/8)
ts1<-ts1p1+ts1p2
ts2<-ts2p1+ts2p2
ts<-c(ts1,ts2)
ra<-rnorm(200,mean=0,sd=0.5)
t.series<-ts+ra
t.series<-t.series-mean(t.series)
times<-c(time1,time2)
res<-wt(t.series, times)