High Speed Adaptive Signal Progressing Using the Delta Operator
✍ Scribed by H.Howard Fan; Parthapratim De
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 283 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1051-2004
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✦ Synopsis
In this paper the use of the delta operator, i.e., a scaled difference operator, in adaptive signal processing with fast sampling is presented. It is recognized that most discrete-time signals and systems are the result of sampling continuous-time signals and systems. When sampling is fast, all resulting signals and systems tend to become ill conditioned and thus difficult to deal with using the conventional algorithms. The delta operator based algorithms, as will be developed in this paper, are numerically better behaved under finite precision implementations for fast sampling. Therefore, they provide many improvements in terms of numerical accuracy and/or convergence speed. Furthermore, the delta operator based algorithms can in most cases be shown to have meaningful continuous-time limits as the sampling becomes faster and faster. Thus they function as a bridge in unifying discrete-time algorithms with continuous-time algorithms. This enhances our insight into and overall understanding of these various algorithms. In this paper, several well-known algorithms in statistical and adaptive signal processing will be cast into their delta operator counterparts. Some new delta operator based algorithms will also be developed. Whenever applicable, corresponding continuous-time limits of these delta operator based algorithms will be pointed out. Computer simulation results using finite precision implementation will also be presented for some of the new algorithms, which generally show much improvement compared with the results from using traditional algorithms.