| 摘要 |
Systems and methods for signal analysis using orbits of a chaotic system are provided. For example, a multiresolution analysis may be constructed and cupolets may be used to approximate arbitrary signals and compress images. Cupolets may be phase transformed to produce compact cupolets that are well-suited for producing sharp changes in signals, or to produce compact cupolets that are more oscillatory and have less or no sharp global maximum amplitudes. Alternatively, cupolets may be phase transformed to allow for optimal or near optimal adjustment to fit a signal.
|
