Function SHANNON_FILTER_BANK_2D

Package

filters

Short description

Compute a bank of Shannon wavelet filters bank

Usage

	filters = SHANNON_FILTER_BANK_2D(size_in, options)

Input

    options (structure): Options of the bank of filters. Optional, with
    fields:
       J (numeric):
       min_margins (numeric): 1-by-2 vector for the horizontal and vertical
       margin for mirror pading of signal

Output

    filters (struct):  filters, with the fields
        psi (struct): high-pass filter psi, with the following fields:
            filter (cell): cell of structure containing the coefficients
            type (string): takes the value 'fourier_multires'
        phi (struct): low-pass filter phi
            filter (cell): cell of structure containing the coefficients
            type (string): takes the value 'fourier_multires'
        meta (struct): contains meta-information on (g,h)

Description

    Compute the Shannon filters bank in the Fourier domain. 
    Shannon filter bank has a flat littlewood paley sum equals to 1.
    Yet, they suffer poor localization. They should be used to test
    mathematical properties of norm preservation. For classificaiton
    experiment, MORLET_FILTER_BANK_2D have better localization properties
    and should thus be preferably used.

See also

List of all packages