Academic Press Library in Signal Processing

Chapter 9

Discrete Multi-Scale Transforms in Signal Processing

Yufang Bao* and Hamid Krim^†,    ^*Department of Mathematics and Computer Science/Center of Defense and Homeland Security (CDHS), UNC Fayetteville State University, Fayetteville, NC, USA,    ^†Electrical and Computer Engineering Department, North Carolina State University, Raleigh, NC, USA

Abstract

Transients in 1D/2D signals often carry critical information, and hence constitute useful features for analysis and inference. A 2D signal for example, is visually represented as an image, and typically contains spatially distributed geometrical shapes that can be characterized by edges that signal the transients from one object to other objects. The edges are the discontinuities in an image ...