.BG
.FN gregrec
.TL
Reconstruction from a Ridge
.DN
Reconstructs signal from a ``regularly sampled'' ridge,
in the Gabor case.
.CS
gregrec(siginput, gtinput, phi, nbnodes, nvoice, freqstep, scale, epsilon=0, fast=F, plot=F, para=0, hflag=F, real=F, check=F)
.RA
.AG siginput
input signal.
.AG gtinput
Gabor transform, output of "cgt".
.AG phi
unsampled ridge.
.AG nbnodes
number of nodes used for the reconstruction.
.AG nvoice
number of different scales per octave
.AG freqstep
sampling rate for the frequency axis
.AG scale
size parameter for the Gabor function.
.OA
.AG epsilon
coefficient of the Q_2 term in reconstruction kernel
.AG fast
if set to T, the kernel is computed using trapezoidal rule.
.AG plot
if set to T, displays original and reconstructed signals
.AG para
scale parameter for extrapolating the ridges.
.AG hflag
if set to T, uses Q_1 as first term in the kernel.
.AG real
if set to T, uses only real constraints on the transform.
.AG check
if set to T, computes "cwt" of
reconstructed signal.
.RT
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.
.SE
.DT
.SH REFEREN
See discussions in the text of "Practical Time-Frequency Analysis".CES
.SA
"regrec".
.EX
