Rwave (version 1.2)

zeroskeleton2: Reconstruction from Dual Wavelets

Description

Computes the the reconstructed signal from the ridge when the epsilon parameter is set to zero, in the case of real constraints.

Usage

zeroskeleton2(cwtinput, Qinv, morvelets, bridge, aridge, N)

Arguments

cwtinput

continuous wavelet transform (output of cwt).

Qinv

inverse of the reconstruction kernel (2D array).

morvelets

array of Morlet wavelets located at the ridge samples.

bridge

time coordinates of the ridge samples.

aridge

scale coordinates of the ridge samples.

N

size of reconstructed signal.

Value

• Returns a list of the elements of the reconstruction of a signal from sample points of a ridge
• sol
  reconstruction from a ridge.
• A
  matrix of the inner products.
• lam
  coefficients of dual wavelets in reconstructed signal. They are the Lagrange multipliers $\lambda$'s of the text.
• dualwave
  array containing the dual wavelets.

Details

The details of this reconstruction are the same as for the function skeleton. They can be found in the text

References

See discussions in the text of ``Practical Time-Frequency Analysis''.

See Also

skeleton, skeleton2, zeroskeleton.