Comparison of multiresolution techniques for digital signal processing
Neil A. Hamlett · Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School) · 1993
A comprehensive study of multiresolution techniques is conducted. Background material in functional analysis and Quadrature Mirror Filter (QMF) banks is presented. The development of Mallat's algorithm for multiresolution decomposition and reconstruction is outlined and demonstrated to be equivalent to QMF banks. The Laplacian pyramid and the a trous algorithm are described and demonstrated General multiresolution structures are constructed from cascades of QMF and pseudo-QMF banks and are demonstrated for applications in signal decomposition and reconstruction and for signal detection and identification