fastgkernel: Kernel for Reconstruction from Gabor Ridges

In Rwave: Time-Frequency Analysis of 1-D Signals

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=FALSE)

Arguments

node	values of the variable b for the nodes of the ridge
phinode	values of the frequency variable ω 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.

Details

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

Value

matrix of the G_2 kernel.

References

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

See Also

gkernel, fastkernel, rkernel, zerokernel.

Rwave documentation built on Oct. 22, 2022, 1:05 a.m.