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Measurement, Instrumentation, and Sensors Handbook, Second Edition, 2nd Edition
book

Measurement, Instrumentation, and Sensors Handbook, Second Edition, 2nd Edition

by John G. Webster, Halit Eren
February 2014
Intermediate to advanced content levelIntermediate to advanced
1921 pages
82h 13m
English
CRC Press
Content preview from Measurement, Instrumentation, and Sensors Handbook, Second Edition, 2nd Edition
84-16 Signal Processing
e carrier-quadrature form of Equation 84.22 is
f t A t t t t
s c m c m c
( ) cos[ sin( )]cos( ) sin[ sin( )]sin( )=
{ }
β ω ω β ω ω
(8
4
.23
)
Unlike
AM
,
an FM sig
nal
co
ntains
bo
th
in
-phase
an
d
qu
adrature
co
mponents,
an
d
th
e
am
plitudes
of
both are nonlinear functions of the modulation index. e terms cos[β sin(ω
m
t)] and sin[β sin(ω
m
t)] are
ge
nerally
ex
panded
in te
rms
of Be
ssel
fu
nctions
(s
ee
Sc
hwartz
[3
]
fo
r
de
tailed
an
alysis)
. e Be
ssel
fu
nc-
tion
e
xpression
o
f
a
n
F
M
si
gnal
i
s
f t A J n t
n
n
s c c m
( ) ( )cos[( ) ]= +
=−∞
β ω ω
(8
4
.24
)
where J
n
(β) represents a Bessel function of the rst kind of order n. Beyer [23] provides
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Publisher Resources

ISBN: 9781439848913