Conference proceeding
Wavelet-like structure of rational models for power-law processes
Proceedings of 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, v 2, pp 1212-1213
1994
Abstract
Scale invariant rational systems are useful for modeling of 1/f processes which exhibit a power-law spectral density over a finite band. In this paper, we show that the impulse response of a scale-invariant rational system can essentially be expressed as a linear combination of dilations of a protoype waveform in the form of a damped complex exponential. Hence, scale-invariant rational systems exhibit a discrete wavelet-like structure where the term wavelet-like refers to the fact that there are no translations of the prototype and that the prototype does not satisfy the admissibility condition required of a wavelet. We also point out that this wavelet-like structure can be viewed as a deterministic version of the wavelet-based models for nearly-1/f processes.
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Details
- Title
- Wavelet-like structure of rational models for power-law processes
- Creators
- B Onaral - Drexel UniversityG MaskarinecG SisliW.A Berger
- Publication Details
- Proceedings of 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, v 2, pp 1212-1213
- Conference
- 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 16th
- Publisher
- IEEE
- Number of pages
- 1
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems
- Web of Science ID
- WOS:A1994BC56Q00606
- Other Identifier
- 991019182647004721
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- Web of Science research areas
- Engineering, Biomedical