Research Catalog

Title

Time-frequency representations / Richard Tolimieri and Myoung An.

Author

Tolimieri, Richard, 1940-

Publication

Boston : Birkhauser Boston, 1998.

Items in the Library & Off-site

Holdings

Details

Additional Authors

An, Myoung.

Description

xiii, 284 pages : illustrations; 25 cm.

Summary

• Time-Frequency Representations provides a fundamental survey of time-frequency representations over finite and finitely generated abelian groups that can be used to design algorithms for multi-dimensional applications. Emphasis is placed on Weyl-Heisenberg systems and expansions.
• Algorithms are developed within this abstract setting without reference to coordinates or dimension, allowing the derivation of new algorithmic structures with significant importance to multidimensional problems and applications. In addition, tensor product representation is fully developed for the modeling of time-frequency computations.
• This new book is an excellent text/reference for all computer scientists, computational mathematicians, and electrical engineers who need to understand the foundations of time-frequency representations and their use for multidimensional computations.

Series Statement

Applied and numerical harmonic analysis

Uniform Title

Applied and numerical harmonic analysis.

Subjects

• Signal processing > Mathematics
• Time-series analysis
• Frequency spectra
• Abelian groups

Bibliography (note)

• Includes bibliographical references (p. [275]-280) and index.

Contents

1. Review of algebra -- 2. Linear algebra and abelian groups -- 3. Fourier transform over A -- 4. Poisson summation formula -- 5. Zak transform -- 6. Weyl-Heisenberg systems -- 7. Zak transform and W-H systems -- 8. Algorithms for W-H systems -- 9. Orthogonal projection theorem -- 10. Cross-ambiguity function -- 11. Ambiguity surfaces -- 12. Orthonormal W-H systems -- 13. Duality -- 14. Frames -- 15. Implementation -- 16. Algebra of multirate structures -- 17. Multirate structures -- 18. A Time-frequency search for stock market anomalies.

ISBN

• 0817639187 (hc : alk. paper)
• 3764339187 (hc : alk. paper)

LCCN

97043191

OCLC

ocm37917326

Owning Institutions

Columbia University Libraries