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MapleConnect: Harmonic Analysis - IMMEDIATE DOWNLOAD
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Product Code: WL-C-HF-SOC
Platform: ALL
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This is a downloadable product (1.51 mb) |
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Description:
Harmonic Analysis combines innovative numerical tools for signal processing with rich analytical tools for studying problems of physics and the mathematics of complex variables. Harmonic Analysis provides a Maple package with worked examples in signal filtering, finance, and conformal mapping. The rich documentation includes an in-depth explanation of the theory of harmonic analysis.
The algorithms in Harmonic Analysis are the culmination of new research by the author in the field of harmonic analysis. They have a US Patent pending (#10/856,453), and a paper on the methods behind the technology is published in the September 2004 issue of IEEE Explorer.
- Provides tools for filtering signals based on amplitude-frequency characteristics
- Extends the power of Maple?s FFT routines to handle signals with arbitrary data length (e.g. need not be a power of 2 or have small prime divisors), using an innovative algorithm that reduces transforms to vector-to-circulant matrix multiplication
- Greatly extends the power of Maple?s conformal mapping routines
- Computes values of analytic functions from their values on the unit circle
- Computes values of harmonic-conjugate functions
- Provides groundbreaking algorithms for:
- computing conformal mappings of functions from the unit circle to connected domains
- computing the ratios of signals by tilde operators and harmonic correlation
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