CONTENTS
PREFACE
xiii
CHAPTER
1
INTRODUCTION
I.I
The
Ubiquitous
FFT
1
1.
2 Iuterpreting
the
Fourier Transfonn 4
1.3
Dig
才
tal
Fourier Analysis 7
CHAPTER
2
THE
FOURIER
TRANSFORM
9
2
.1
The Fourier Integral
9
2.2
The Inverse Fourier Transform
11
2
.3
Existence of
the
Fourier Integral
13
2
.4
A1
ternate Fourier Transform
Definitions
22
2
.5
Fourier Transform Pairs
23
CHAPTER
3
FOU
Fl
IER
TRANSFORM
PROPERTIES
30
3.1
Li
nearity
30
3.2
Symmetry
32
3.3
Time
and
Frequency
Sc
a1
ing
32
3
.4
Time
and
Frequency
Shifting
35
