Rwave (version 1.2)

regrec: 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
  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.