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Rwave (version 1.2)

fastgkernel: Kernel for Reconstruction from Gabor Ridges

Description

Computes the cost from the sample of points on the estimated ridge and the matrix used in the reconstruction of the original signal, using simple trapezoidal rule for integrals.

Usage

fastgkernel(node, phinode, freqstep, scale, x.inc=1, x.min=node[1],
x.max=node[length(node)], plot=F)

Arguments

node
values of the variable b for the nodes of the ridge
phinode
values of the frequency variable $\omega$ for the nodes of the ridge
freqstep
sampling rate for the frequency axis
scale
size of the window
x.inc
step unit for the computation of the kernel.
x.min
minimal value of x for the computation of $G_2$.
x.max
maximal value of x for the computation of $G_2$.
plot
if set to TRUE, displays the modulus of the matrix of $G_2$.

Value

  • matrix of the $G_2$ kernel.

Details

Uses trapezoidal rule (instead of Romberg's method) to evaluate the kernel.

References

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

See Also

gkernel, fastkernel, rkernel, zerokernel.