Code covered by the BSD License  

Highlights from
Berkeley Wavelet Transform

4.75

4.8 | 4 ratings Rate this file 16 Downloads (last 30 days) File Size: 11.6 KB File ID: #19860

Berkeley Wavelet Transform

by

 

08 May 2008 (Updated )

Functions performing the Berkeley Wavelet Transform and its inverse

| Watch this File

File Information
Description

The Berkeley Wavelet Transform (BWT) comprises four pairs of mother wavelets at four orientations. Within each pair, one wavelet has odd symmetry, and the other has even symmetry. By translation and scaling of the whole set (plus a single constant term), the wavelets form a complete, orthonormal basis in two dimensions.

The BWT shares many characteristics with the receptive fields of neurons in mammalian primary visual cortex (V1). Like these receptive fields, BWT wavelets are localized in space, tuned in spatial frequency and orientation, and form a set that is approximately scale invariant. The wavelets also have spatial frequency and orientation bandwidths that are comparable with biological values.

Although the classical Gabor wavelet model is a more accurate description of the receptive fields of individual V1 neurons, the BWT has some interesting advantages. It is a complete, orthonormal basis and is therefore inexpensive to compute, manipulate, and invert. These properties make the BWT useful in situations where computational power or experimental data are limited, such as estimation of the spatiotemporal receptive fields of neurons.

See http://dx.doi.org/10.1162/neco.2007.05-07-513 for more details, or:
Willmore B, Prenger RJ, Wu MC and Gallant JL (2008a). The Berkeley Wavelet Transform: A biologically-inspired orthogonal wavelet transform. Neural Computation 20:6, 1537–1564

MATLAB release MATLAB 7.6 (R2008a)
Tags for This File   Please login to tag files.
Please login to add a comment or rating.
Comments and Ratings (4)
20 Jun 2013 Ben

Thanks for sharing!

13 Aug 2010 Alexander Patrushev  
05 Dec 2008 bigforg ‡  
06 Jun 2008 Ben Hong

It's interesting and useful. I like novel ideas and techniques!

Updates
14 May 2008

Minor bugfixes

13 Aug 2010

Correct link in description

Contact us