Mathematical methods and algorithms for signal processing [texte imprime] /
Todd K. Moon ;
Stirling Wynn C . -
Upper Saddle River : Prentice Hall, N.J. . - (XXXVI-937 p.) : ill. ; 26 cm + CD.
ISBN : 978-0-201-36186-5
Bibliogr. p. [915]-928. Index
Langues : Anglais
| Mots-clés : | Traitement du signal Algorithmes |
| Index. décimale : | 621.3822 |
| Résumé : | Sommaire :
I. Introduction and foundations
II. Vector spaces and linear algebra
2. Signal spaces
3. Representation and approximation in vector spaces
4. Linear operators and matrix inverses
5. Some important matrix factorizations
6. Eigenvalues and Eigenvectors
7. The singular value decomposition [SVD]
8. Some special matrices and their applications
9. Kronecker products and the Vec operator
III. Detection, estimation, and optimal filtering
10. Introduction to detection and estimation, and mathematical notation
11. Detection theory
12. Estimation theory
13. The Kalman filter
IV. Iterative and recursive methods in signal processing
14. Basic concepts and methods of iterative algorithms
15. Iteration by composition of mappings
16. Other iterative algorithms
17. The EM algorithm in signal processing
V. Methods of optimization
18. Theory of constrained optimization
19. Shortest-path algorithms and dynamic programming
20. Linear programming.
Appendices : basic concepts and definitions ; completing the square ; basic matrix concepts ; random processes ; derivatives and gradients ; conditional expectations of multinomial and Poisson r.v.s. |
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