|
" Quantum-mechanical signal processing and spectral analysis / "
Dževad Belkić.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
1019212
|
| Doc. No
|
:
|
b773582
|
| Main Entry
|
:
|
Belkić, Dž, (Dževad)
|
| Title & Author
|
:
|
Quantum-mechanical signal processing and spectral analysis /\ Dževad Belkić.
|
| Publication Statement
|
:
|
Bristol :: Institute of Physics,, ©2005.
|
| Series Statement
|
:
|
Series in atomic and molecular physics
|
| Page. NO
|
:
|
xiv, 463 pages :: illustrations ;; 25 cm.
|
| ISBN
|
:
|
0750310197
|
|
|
:
|
: 9780750310192
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index.
|
| Contents
|
:
|
1. Introduction -- 2. Auto-correlation functions -- 3. The time-independent Schrodinger equation -- 4. The time-dependent Schrodinger equation -- 5. Equivalence: auto-correlation functions and time signals -- 6. Orthonormality and completeness of expansion functions -- 7. Difference equations and the harmonic inversion -- 8. The Schrodinger eigenproblem in global spectral analysis -- 9. Dimensionality reduction in the frequency domain -- 10. Dimensionality reduction in the time domain -- 11. The basic features of the Pade approximant (PA) -- 12. Gaussian quadratures and the Pade approximant -- 13. Pade-Schur approximant (PSA) with no spurious roots -- 14. Spectral analysis and systems of inhomogeneous linear equations -- 15. Exact iterative solution of a system of linear equations -- 16. Relaxation methods and sequence accelerations -- 17. Quantification: harmonic inversion in the time domain -- 18. Enhanced convergence of sequences by nonlinear transforms -- 19. The Shanks transform as the exact filter for harmonic inversion -- 20. The base-transient concept in signal processing.
|
| Abstract
|
:
|
"This book describes the novel application of quantum mechanical methods to signal processing across a range of interdisciplinary research fields." "Among the leading quantum mechanical signal processing methods, this book emphasizes the role of the 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 which can be exported to other disciplines." "Quantum Mechanical Signal Processing and Spectral Analysis will be an invaluable resource for researchers involved in signal processing across a wide range of disciplines."--BOOK JACKET.
|
| Subject
|
:
|
Padé approximant.
|
| Subject
|
:
|
Quantum theory.
|
| Subject
|
:
|
Signal processing.
|
| Subject
|
:
|
Spectrum analysis.
|
| Subject
|
:
|
Analyse spectrale.
|
| Subject
|
:
|
Padé, Approximants de.
|
| Subject
|
:
|
Théorie quantique.
|
| Subject
|
:
|
Traitement du signal.
|
| Subject
|
:
|
Padé approximant.
|
| Subject
|
:
|
Quantum theory.
|
| Subject
|
:
|
Signal processing.
|
| Subject
|
:
|
Spectrum analysis.
|
| Subject
|
:
|
Padé-Näherung.
|
| Subject
|
:
|
Quantenmechanisches System.
|
| Subject
|
:
|
Signaltheorie.
|
| Dewey Classification
|
:
|
539.7
|
| LC Classification
|
:
|
TK5102.9.B447 2005
|
| NLM classification
|
:
|
ZN 6025rvk
|
| |