regrec2 {Rwave}

Reconstruction from a Ridge

Description

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

Usage

regrec2(siginput, cwtinput, phi, nbnodes, noct, nvoice, Q2,
epsilon=0.5, w0=2 * pi, plot=FALSE)

Arguments

siginput

input signal.

cwtinput

wavelet transform, output of cwt.

phi

unsampled ridge.

nbnodes

number of samples on the ridge

noct

number of octaves (powers of 2)

nvoice

number of different scales per octave

Q2

second term of the reconstruction kernel

epsilon

coefficient of the Q_2 term in reconstruction kernel

w0

central frequency of Morlet wavelet

plot

if set to TRUE, displays original and reconstructed signals

Details

The computation of the kernel may be time consuming. This function avoids recomputing it if it was computed already.

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.

nbnodes

number of nodes used for the reconstruction.

References

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

See Also

regrec, gregrec, ridrec, sridrec.