ridrec: Reconstruction from a Ridge
In Rwave: Time-Frequency Analysis of 1-D Signals

ridrec

R Documentation

Reconstruction from a Ridge

Reconstructs signal from sample of a ridge, in the wavelet case.

ridrec(cwtinput, node, phinode, noct, nvoice, Qinv, epsilon, np,
w0=2 * pi, check=FALSE, real=FALSE)

`cwtinput`	wavelet transform, output of `cwt`.
`node`	time coordinates of the ridge samples.
`phinode`	scale coordinates of the ridge samples.
`noct`	number of octaves (powers of 2).
`nvoice`	number of different scales per octave.
`Qinv`	inverse of the matrix Q of the quadratic form.
`epsilon`	coefficient of the Q_2 term in reconstruction kernel
`np`	number of samples of the reconstructed signal.
`w0`	central frequency of Morlet wavelet.
`check`	if set to TRUE, computes `cwt` of reconstructed signal.
`real`	if set to TRUE, uses only constraints on the real part of the transform.

Returns a list containing the reconstructed signal and the chained ridges.

`sol`	reconstruction from a ridge
`A`	<wavelets,dualwavelets> matrix
`lam`	coefficients of dual wavelets in reconstructed signal.
`dualwave`	array containing the dual wavelets.
`morvelets`	array of morlet wavelets located on the ridge samples.
`solskel`	wavelet transform of sol, restricted to the ridge
`inputskel`	wavelet transform of signal, restricted to the ridge

See discussions in the text of “Practical Time-Frequency Analysis”.