Function WAVELET_LAYER_1D

Package

Short description

Usage

Input

    U (struct): The input layer to be transformed.
    filters (cell): The filters of the wavelet transform.
    scat_opt (struct): The options of the wavelet layer. Some are used in the
       function itself, while others are passed on to the wavelet transform.
       The parameters used by WAVELET_LAYER_1D are:
          path_margin: The margin used to determine wavelet decomposition
             scales with respect to the bandwidth of the signal. If the band-
             with of a signal in U is bw, only wavelet filters of center fre-
             quency less than bw*2^path_margin are applied (default 0).
    wavelet (function handle): the wavelet transform function (default
       @wavelet_1d).  

Output

    U_phi The coefficients of in, lowpass-filtered (scattering
       coefficients).
    U_psi: The wavelet transform coefficients.

Description

    This function has a pivotal role between WAVELET_1D (which computes a
    single wavelet transform), and WAVELET_FACTORY_1D (which creates the
    whole cascade). Given inputs modulus wavelet coefficients
    corresponding to a layer, WAVELET_LAYER_1D computes the wavelet
    transform coefficients of the next layer using WAVELET_1D. 

See also

• wavelet_1d
• wavelet_factory_1d
• wavelet_layer_2d