GSP_DESIGN_ITERSINE - Create a itersine filterbanks

Usage

g = gsp_design_itersine( G, Nf );
g = gsp_design_itersine( G, Nf, param );

Inputs parameters:: G : Graph structure or lmax Nf : Number of filter param : Structure of optional parameters
Outputs parameters:: g : filterbanks mu : centers of the filters

This function creates an itersine half overlap filterbank of Nf filters Going from \(0\) to \(\lambda_{max}\)

This filterbank is tight for an overlap of 2 and other particular values. The function normalizes the window such that the framebound is 1.

The itersine window between -0.5 and 0.5 is defined as

\begin{equation*} g(t) = \sin \left( 0.5 \pi \cos (\pi t)^2 \right) \end{equation*}

This function will compute the maximum eigenvalue of the laplacian. To be more efficient, you can precompute it using:

G = gsp_estimate_lmax(G);

Example:

Nf = 20;
G = gsp_sensor(100);
G = gsp_estimate_lmax(G);
g = gsp_design_itersine(G, Nf);
gsp_plot_filter(G,g);
[A,B] = gsp_filterbank_bounds(G,g)

This code produces the following output:

param is an optional structure containing the following fields