Time-Frequency Analysis and Synthesis of Linear Signal Spaces (Hardcover)
Language: English
Published by Kluwer Academic Publishers, Dordrecht, 1998
Series: Book 244 of 260 - The Springer International Series in Engineering and Computer Science
- Hardcover
- New

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Hardcover. This text consists of nine chapters. Chapters 2-6 form a coherent part of the book, with Chapter 4 being the cornerstone of the approach of designing signal processing methods for which time-frequency considerations provide the guiding principles. The problem of synthesizing linear signal spaces is solved: with a given region in the time-frequency plane there is associated the linear signal space whose Wigner distribution is closest to the indicator function of the region. The results of Chapter 4 find ample application in Chapters 5 and 6, in which linear signal spaces with prescribed time-frequency localization are required for a variety of signal processing problems. The notion of ambiguity function of a linear signal space is introduced and applied to the problem of optimally designing a set of radar pulses. Here, "optimal" refers to minimum Cramer-bound and maximum global accuracy of the maximum likelihood multipulse estimator for range and Doppler shift. Linear signal spaces are of fundamental importance in signal and system theory, communication theory, and modern signal processing. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…
Seller Inventory # 9780792381310
- Title
- Time-Frequency Analysis and Synthesis of Linear Signal Spaces (Hardcover)
- Author
- Franz Hlawatsch
- Publisher
- Kluwer Academic Publishers, Dordrecht
- Publication year
- 1998
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0792381319
- ISBN 13
- 9780792381310
- Series
- Book 244 of 260: The Springer International Series in Engineering and Computer Science
This book proposes a time-frequency analysis of linear signal spaces that is based on two novel time-frequency representations called the `Wigner distribution of a linear signal space' and the `ambiguity function of a linear signal space'.
Besides being a useful display and analysis tool, the Wigner distribution of a linear signal space allows the design of high-resolution time-frequency filtering methods. This book develops such methods and applies them to the enhancement, decomposition, estimation, and detection of noisy deterministic and stochastic signals. Formulation of the filtering (estimation, detection) methods in the time-frequency plane yields a direct interpretation of the effect of adding or deleting information, changing parameters, etc. In a sense, the prior information and the signal processing tasks are brought to life in the time-frequency plane.
The ambiguity function of a linear signal space, on the other hand, is closely related to a novel maximum-likelihood multipulse estimator of the range and Doppler shift of a slowly fluctuating point target - an estimation problem that is important in radar and sonar. Specifically, the ambiguity function of a linear signal space is relevant to the problem of optimally designing a set of radar pulses.
The concepts and methods presented are amply illustrated by examples and pictures. Time-Frequency Analysis and Synthesis of Linear Signal Spaces: Time-Frequency Filters, Signal Detection and Estimation, and Range-Doppler Estimation is an excellent reference and may be used as a text for advanced courses covering the subject.
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