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Mertin Signal Analysis Wavelets
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328页
小波(Wavelet)这一术语,顾名思义,“小波”就是小的波形。 这本书是小波分析的经典教材,里面有大量例子,通俗易懂。
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Signal Analysis
Signal Analysis
Wavelets, Filter Banks,
Time-Frequency Transforms and Applications
Alfred Mertins
University
of
Wollongong, Australia
JOHN
WILEY
&
SONS
Chichester
.
New York
.
Weinheim
.
Brisbane
.
Singapore
.
Toronto
@B.G. Teubner Stuttgart 1996, Mertins, Signaltheorie
Translation arranged with the approval of the publisher B.G. Teubner Stuttgart, from the original
German edition into English.
English (revised edition) Copyright
@
1999 by John Wiley
&
Sons Ltd,
Baffins Lane, Chichester,
West Sussex P019 IUD, England
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01243 719717
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British Library Cataloguing
in
Publication Data
A catalogue record for this book is available from the British Library.
ISBN 0-471-98626-7
Produced from PostScript files supplied by the author.
Printed and bound in Great Britain by Bookcraft (Bath) Ltd.
This book is printed on acid-free paper responsibly manufactured from sustainable forestry,
in which at least
two
trees are planted for each one used in paper production.
Contents
1
Signals and Signal Spaces
1
1.1
Signal Spaces
............................
1
1.1.1
Energy and Power Signals
.................
1
1.1.2
Normed Spaces
.......................
2
1.1.3
Metric Spaces
........................
3
1.1.4
Inner Product Spaces
...................
4
1.2
Energy Density and Correlation
..................
8
1.2.1
Continuous-Time Signals
.................
8
1.2.2
Discrete-Time Signals
...................
9
1.3
Random Signals
...........................
10
1.3.1
Properties of Random Variables
..............
11
1.3.2
Random Processes
.....................
13
Systems
...........................
20
1.3.3
Transmission of Stochastic Processes through Linear
2
Integral Signal Representations
22
2.1
Integral Transforms
.........................
22
2.2
The Fourier Transform
.......................
26
2.3
The Hartley Transform
.......................
29
2.4
The Hilbert Transform
.......................
34
2.4.1
Definition
..........................
34
2.4.2
Some Properties of the Hilbert Transform
........
35
2.5
Representation of Bandpass Signals
................
35
2.5.1
Analytic Signal and Complex Envelope
.........
36
2.5.2
Stationary Bandpass Processes
..............
43
V
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