regrec2: Reconstruction from a Ridge
In Rwave: Time-Frequency Analysis of 1-D Signals

regrec2

R Documentation

Reconstruction from a Ridge

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

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

`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

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

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.

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