Time-Frequency Analysis and Synthesis of Linear Signal Spaces: Time-Frequency Filters, Signal Detection and Estimation, and Range-Doppler Estimation / Edition 1

Time-Frequency Analysis and Synthesis of Linear Signal Spaces: Time-Frequency Filters, Signal Detection and Estimation, and Range-Doppler Estimation / Edition 1

by Franz Hlawatsch
     
 

ISBN-10: 0792381319

ISBN-13: 9780792381310

Pub. Date: 03/31/1998

Publisher: Springer US

Linear signal spaces are of fundamental importance in signal and system theory, communication theory, and modern signal processing.
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

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Overview

Linear signal spaces are of fundamental importance in signal and system theory, communication theory, and modern signal processing.
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 shastic 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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Product Details

ISBN-13:
9780792381310
Publisher:
Springer US
Publication date:
03/31/1998
Series:
The Springer International Series in Engineering and Computer Science, #440
Edition description:
1998
Pages:
213
Product dimensions:
6.10(w) x 9.21(h) x 0.02(d)

Table of Contents

Preface
Acknowledgments
1Introduction and Outline1
2The Wigner Distribution of a Linear Signal Space9
3Time-Frequency Localization of Linear Signal Spaces49
4Time-Frequency Synthesis of Linear Signal Spaces79
5Time-Frequency Filters and Expansions105
6Signal Estimation and Signal Detection125
7The Ambiguity Function of a Linear Signal Space153
8Range-Doppler Estimation173
9Conclusions195
References199

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