gridrec: Reconstruction from a Ridge

In Rwave: Time-Frequency Analysis of 1-D Signals

Reconstruction from a Ridge

Description

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

Usage

gridrec(gtinput, node, phinode, nvoice, freqstep, scale, Qinv,
epsilon, np, real=FALSE, check=FALSE)

Arguments

gtinput	Gabor transform, output of cgt.
node	time coordinates of the ridge samples.
phinode	frequency coordinates of the ridge samples.
nvoice	number of different frequencies.
freqstep	sampling rate for the frequency axis.
scale	scale of the window.
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.
real	if set to TRUE, uses only constraints on the real part of the transform.
check	if set to TRUE, computes cgt of reconstructed signal.

Value

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

sol	reconstruction from a ridge.
A	<gaborlets,dualgaborlets> matrix.
lam	coefficients of dual gaborlets in reconstructed signal.
dualwave	array containing the dual gaborlets.
gaborets	array of gaborlets located on the ridge samples.
solskel	Gabor transform of sol, restricted to the ridge.
inputskel	Gabor transform of signal, restricted to the ridge.

References

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

See Also

sridrec, gregrec, regrec, regrec2.

Rwave documentation built on Oct. 22, 2022, 1:05 a.m.