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Wavelet transforms via lifting.
| Content Provider | CiteSeerX |
|---|---|
| Author | Neelamani, Ramesh Burrus, C. S. |
| Abstract | Lifting has traditionally been described in the time/spatial domain and the intuition behind the entire scheme holds in this domain. It is known that the lifting scheme, as conventionally described, can implement a class of biorthogonal wavelet transforms. However, the constraints required to be placed on the lifting setup so that it forms a wavelet system are not commonly understood. In this paper, lifting is analyzed from a wavelets point of view and its design is studied using established results in w avelet theory. 1 Introduction Lifting can be viewed as a method to analyze and synthesize a given signal using spatial domain techniques [1]. Lifting consists of three basic steps: Split, Predict, and Update. (see Fig. 1). A brief description of these three steps is given below. Split Odd/Even Update X[n] -> X[2n+1] X[2n] d[n] = X[2n+1] - P(X{2n]) Predict P U c[n] = X[2n] + U(d[n]) Figure 1: Split, Predict, and Update stages in Lifting. 1. Split In this stage the input signal is div... |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Wavelet Transforms Via Lifting Lifting Setup Lifting Scheme Time Spatial Domain Introduction Lifting Avelet Theory Wavelet System Biorthogonal Wavelet Transforms Entire Scheme Wavelet Point Input Signal Split Odd Spatial Domain Technique Brief Description Update Stage Basic Step |
| Content Type | Text |
