Quantum-Mechanical Signal Processing and Spectral Analysis - Series in Atomic Molecular Physics (Hardback)Dzevad Belkic (author)
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Among the leading quantum-mechanical signal processing methods, this book emphasizes the role of Pade approximant and the Lanczos algorithm, highlighting the major benefits of their combination. These two methods are carefully incorporated within a unified framework of scattering and spectroscopy, developing an algorithmic power that can be exported to other disciplines. The novelty of the author's approach to key signal processing problems, the harmonic inversion and the moment problem, is in establishing the Pade approximant and Lanczos algorithm as entirely algerbraic spectral estimators. This is of paramount theoretical and practical importance, as now spectral analysis can be carried out from closed analytical expressions. This overrides the notorious mathematical ill-conditioning problems with round-off errors that plague inverse reconstructions in those fields that rely upon signal processing.
Quantum-Mechanical Signal Processing and Spectral Analysis will be an invaluable resource for researchers involved in signal processing across a wide range of disciplines.
Publisher: Taylor & Francis Ltd
Number of pages: 450
Weight: 930 g
Dimensions: 234 x 156 x 28 mm
-Professor Ivan Mancev
"The present book concerns one of the most beautiful and useful developments in mathematics. It takes the reader from the classical moment problem of Stieltjes via Pade's rational representations, using Hankel determinants and Frobenius normal forms, through the Krylov-Lanczos development to modern algorithmic techniques and codes. The deeper algebraic connections between signal processing and quantum mechanics are implicit and leaven important concrete applications typical of the interdisciplinary faculties of physics and medicine."
-Professor Erkki Brandas
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