getBLI

Compute underlying Fourier band-limited interpolant (BLI).

Syntax

BLI = getBLI(func)
BLI = getBLI(func, dx)
BLI = getBLI(func, dx, sampling_factor)
BLI = getBLI(func, dx, sampling_factor, plot_BLI)
BLI = getBLI(func, [], [], plot_BLI)
[x_fine, BLI] = getBLI(func, dx, sampling_factor, plot_BLI)
...

Description

getBLI computes the underlying band-limited interpolant (BLI) of a discretely sampled 1D function assuming a Fourier basis. The example below shows the BLI of a discrete spatial delta function.

delta = zeros(20, 1);
delta(end/2) = 1;
getBLI(delta, 0.001, 10, true);

Inputs

func	1D input function

Optional Inputs

dx	spatial sampling [m] (default = 1)
upsampling_factor	spatial sampling used to sample the underlying BLI (default = 20)
plot_BLI	Boolean controlling whether the discrete input function and its BLI are displayed (default = false)

Outputs

BLI	band-limited interpolant
x_fine	x-grid for BLI

See Also

getDeltaBLI, spect