Function PLOT_LITTLEWOOD_PALEY_1D

Package

Short description

Usage

    littlewood = plot_littlewood_paley_1d(filters);

Input

    filters (struct): filter bank (see FILTER_BANK)

Output

Description

    This function computes, at every frequency, the Littlewood-Paley sum
    of the filter bank, i.e. the total power spectral density
    \sum_{j, \theta} |\hat{\psi_j} (\omega)|^2 + |\hat{\phi_J}(\omega)|^2
    If this sum is between (1-epsilon) and 1 for small epsilon, the
    associated wavelet transform is proved to be contractive and almost
    unitary.

See also

• littlewood_paley
• display_littlewood_paley_2d
• filter_bank