文档介绍：TIME-FREQUENCY ANALYSIS
AND SYNTHESIS OF
LINEAR SIGNAL SPACES
Time-Frequency Filters,
Signal Detection and Estimation,
and Range-Doppler Estimation
THE KLUWER INTERNATIONAL SERIES
IN ENGINEERING PUTER SCIENCE
TIME-FREQUENCY ANALYSIS
AND SYNTHESIS OF
LINEAR SIGNAL SPACES
Time-Frequency Filters,
Signal Detection and Estimation,
and Range-Doppler Estimation
by
Franz Hlawatsch
Vienna University of Technology
111....
Springer-Science+Business" Media, .
Library of Congress Cataloging-in-Publication Data
A . Catalogue record for this book is available
from the Library of Congress.
ISBN 978-1-4419-5032-1 ISBN 978-1-4757-2815-6 (eBook)
DOI -1-4757-2815-6
Copyright © 1998 by Springer Science+Business Media Dordrecht
Originally published by Kluwer Academic Publishers in 1998.
Softcover reprint of the hardcover 1st edition 1998
All rights reserved. No part of this publication may be reproduced, stored in a
retrieval system or transmitted in any form or by any means, mechanical, photo•
copying, recording, or otherwise, without the prior written permission of the
publisher, Springer-Science+Business Media, .
Printed on acid-free paper.
Contents
Preface IX
Acknowledgments XIII
1. INTRODUCTION AND OUTLINE 1
Linear Signal Spaces 2
Quadratic TF Signal Representations 4
Outline and Summary of Results 6
2. THE WIGNER DISTRIBUTION OF A LINEAR SIGNAL SPACE 9
Definitions and Expressions 10
Deterministic Definition 10
Stochastic Definition 11
Expression in Terms of the Projection Operator 12
Expression in Terms of a Basis 13
Quadratic Space Representations 13
Definitions and Expressions 13
Examples 16
Properties 17
Some Signal Spaces 23
Energetic Interpretation 29
Extensions 33
Cross-Wigner Distribution 34
Discrete-Time Wigner Distribution 36
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