regrec: Reconstruction from a Ridge

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

Reconstruction from a Ridge

Description

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

Usage

regrec(siginput, cwtinput, phi, compr, noct, nvoice, epsilon=0,
w0=2 * pi, fast=FALSE, plot=FALSE, para=0, hflag=FALSE,
check=FALSE, minnbnodes=2, real=FALSE)

Arguments

siginput	input signal.
cwtinput	wavelet transform, output of cwt.
phi	unsampled ridge.
compr	subsampling rate for the wavelet coefficients (at scale 1)
noct	number of octaves (powers of 2)
nvoice	number of different scales per octave
epsilon	coefficient of the Q_2 term in reconstruction kernel
w0	central frequency of Morlet wavelet
fast	if set to TRUE, 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.
check	if set to TRUE, computes cwt of reconstructed signal.
minnbnodes	minimum number of nodes for the reconstruction.
real	if set to TRUE, uses only real constraints on the transform.

Value

Returns a list containing:

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 containing the wavelets on sampled ridge.
solskel	wavelet transform of sol, restricted to the ridge.
inputskel	wavelet transform of signal, restricted to the ridge.
Q2	second part of the reconstruction kernel.
nbnodes	number of nodes used for the reconstruction.

References

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

See Also

regrec2, ridrec, gregrec, gridrec.

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