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List of Symbols xxi DEFINED FUNCTIONS J n (·) ln(·) log(·) log 2 (·) Q(z) Sa(z) u(·) (·) Π(·) Bessel function of the first kind, nth order natural logarithm base 10 logarithm base 2 logarithm integral of a Gaussian probability density function (sin z) > z unit step function triangle function rectangle function OPERATOR NOTATION Im{·} imaginary part of Re{·} real part of [ # ] ensemble average 8[·]9 time average [·] * [·] convolution [·] * conjugate l[# ] angle operator or angle itself, see Eq. (2–108) |[·]| absolute value [# N] Hilbert transform [·] Fourier transform [·] Laplace transform [·] · [·] dot product
- Page 2: Abbreviations AC ADC ADM AM ANSI AP
- Page 6: DIGITAL AND ANALOG COMMUNICATION SY
- Page 10: CONTENTS PREFACE LIST OF SYMBOLS xi
- Page 14: Contents v 2-8 Discrete Fourier Tra
- Page 18: Contents vii 4-16 Transmitters and
- Page 22: Contents ix 6-10 Appendix: Proof of
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- Page 30: PREFACE Continuing the tradition of
- Page 34: Preface xv THE PRACTICAL APPLICATIO
- Page 38: LIST OF SYMBOLS There are not enoug
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List of Symbols<br />
xxi<br />
DEFINED FUNCTIONS<br />
J n (·)<br />
ln(·)<br />
log(·)<br />
log 2 (·)<br />
Q(z)<br />
Sa(z)<br />
u(·)<br />
(·)<br />
Π(·)<br />
Bessel function of the first kind, nth order<br />
natural logarithm<br />
base 10 logarithm<br />
base 2 logarithm<br />
integral of a Gaussian probability density function<br />
(sin z) > z<br />
unit step function<br />
triangle function<br />
rectangle function<br />
OPERATOR NOTATION<br />
Im{·} imaginary part of<br />
Re{·} real part of<br />
[ # ] ensemble average<br />
8[·]9<br />
time average<br />
[·] * [·] convolution<br />
[·] * conjugate<br />
l[# ] angle operator or angle itself, see Eq. (2–108)<br />
|[·]| absolute value<br />
[# N] Hilbert transform<br />
[·] Fourier transform<br />
[·] Laplace transform<br />
[·] · [·] dot product
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