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

gregrec

R Documentation

Reconstruction from a Ridge

Reconstructs signal from a “regularly sampled” ridge, in the Gabor case.

gregrec(siginput, gtinput, phi, nbnodes, nvoice, freqstep, scale,
epsilon=0, fast=FALSE, plot=FALSE, para=0, hflag=FALSE, real=FALSE,
check=FALSE)

`siginput`	input signal.
`gtinput`	Gabor transform, output of `cgt`.
`phi`	unsampled ridge.
`nbnodes`	number of nodes used for the reconstruction.
`nvoice`	number of different scales per octave
`freqstep`	sampling rate for the frequency axis
`scale`	size parameter for the Gabor function.
`epsilon`	coefficient of the Q_2 term in reconstruction kernel
`fast`	if set to T, the kernel is computed using trapezoidal rule.
`plot`	if set to TRUE, displays original and reconstructed signals
`para`	scale parameter for extrapolating the ridges.
`hflag`	if set to TRUE, uses Q_1 as first term in the kernel.
`real`	if set to TRUE, uses only real constraints on the transform.
`check`	if set to TRUE, computes `cwt` of reconstructed signal.

Returns a list containing:

`sol`	reconstruction from a ridge.
`A`	<gaborlets,dualgaborlets> matrix.
`lam`	coefficients of dual wavelets in reconstructed signal.
`dualwave`	array containing the dual wavelets.
`gaborets`	array containing the wavelets on sampled ridge.
`solskel`	Gabor transform of sol, restricted to the ridge.
`inputskel`	Gabor transform of signal, restricted to the ridge.
`Q2`	second part of the reconstruction kernel.

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