Duration and Bandwidth Limiting: Prolate Functions, Sampling, and Applications

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Increasingly important in the field of communications, the study of time and band limiting is crucial for the modeling and analysis of multiband signals. This concise but comprehensive monograph is the first to be devoted specifically to this subdiscipline, providing a thorough investigation of its theory and applications. Through cutting-edge numerical methods, it develops the tools for applications not only to communications engineering, but also to optical engineering, geosciences, planetary sciences, and biomedicine.

With broad coverage and a careful balance between rigor and readability, Duration and Bandwidth Limiting is a particularly original and valuable resource both for mathematicians interested in the field and for professional engineers with an interest in theory. While its main target audience is practicing scientists, the book may also serve as useful supplemental reading material for mathematically-based graduate courses in communications and signal processing.

Author(s): Jeffrey A. Hogan, Joseph D. Lakey (auth.)
Series: Applied and Numerical Harmonic Analysis
Edition: 1
Publisher: Birkhäuser Basel
Year: 2012

Language: English
Pages: 258
Tags: Fourier Analysis; Communications Engineering, Networks; Abstract Harmonic Analysis; Applications of Mathematics

Front Matter....Pages i-xvii
The Bell Labs Theory....Pages 1-43
Numerical Aspects of Time and Band Limiting....Pages 45-90
Thomson’s Multitaper Method and Applications to Channel Modeling....Pages 91-127
Time and Band Limiting of Multiband Signals....Pages 129-151
Sampling of Band-limited and Multiband Signals....Pages 153-198
Time-localized Sampling Approximations....Pages 199-221
Back Matter....Pages 223-258