A foundation in digital communication:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge University Press
2009
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| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXV, 723 S. graph. Darst. |
| ISBN: | 9780521193955 |
Internformat
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Datensatz im Suchindex
| DE-BY-863_location | 1911 |
|---|---|
| DE-BY-FWS_call_number | 1911/2019:0001 |
| DE-BY-FWS_katkey | 410131 |
| DE-BY-FWS_media_number | 083101154177 |
| _version_ | 1806175982044839936 |
| adam_text | A FOUNDATION IN DIGITAL COMMUNICATION AMOS LAPIDOTH ETH ZUERICH, SWISS
FEDERAL INSTITUTE OF TECHNOLOGY CAMBRIDGE UNIVERSITY PRESS CONTENTS
PREFACE XVII ACKNOWLEDGMENTS XXIV 1 SOME ESSENTIAL NOTATION 1 2 SIGNALS,
INTEGRALS, AND SETS OF MEASURE ZERO 4 2.1 INTRODUCTION 4 2.2 INTEGRALS 4
2.3 INTEGRATING COMPLEX-VALUED SIGNALS 5 2.4 AN INEQUALITY FOR INTEGRALS
6 2.5 SETS OF LEBESGUE MEASURE ZERO 7 2.6 SWAPPING INTEGRATION,
SUMMATION, AND EXPECTATION 10 2.7 ADDITIONAL READING 11 2.8 EXERCISES 11
3 THE INNER PRODUCT 14 3.1 THE INNER PRODUCT 14 3.2 WHEN IS THE INNER
PRODUCT DEFINED? 17 3.3 THE CAUCHY-SCHWARZ INEQUALITY 18 3.4
APPLICATIONS 20 3.5 THE CAUCHY-SCHWARZ INEQUALITY FOR RANDOM VARIABLES
23 3.6 MATHEMATICAL COMMENTS 23 3.7 EXERCISES 24 4 THE SPACE 2 OF
ENERGY-LIMITED SIGNALS 26 4.1 INTRODUCTION 26 4.2 CA AS A VECTOR SPACE
26 4.3 SUBSPACE, DIMENSION, AND BASIS 28 VII VIII CONTENTS 4.4 ||U|| 2
AS THE LENGTH OF THE SIGNAL U(-) 30 4.5 ORTHOGONALITY AND INNER
PRODUCTS 32 4.6 ORTHONORMAL BASES 36 4.7 THE SPACE L 2 48 4.8 ADDITIONAL
READING 50 4.9 EXERCISES 51 5 CONVOLUTIONS AND FILTERS 53 5.1
INTRODUCTION 53 5.2 TIME SHIFTS AND REFLECTIONS 53 5.3 THE CONVOLUTION
EXPRESSION 54 5.4 THINKING ABOUT THE CONVOLUTION 54 5.5 WHEN IS THE
CONVOLUTION DEFINED? 55 5.6 BASIC PROPERTIES OF THE CONVOLUTION 57 5.7
FILTERS 58 5.8 THE MATCHED FILTER 58 5.9 THE IDEAL UNIT-GAIN LOWPASS
FILTER 60 5.10 THE IDEAL UNIT-GAIN BANDPASS FILTER 61 5.11 YOUNG S
INEQUALITY 61 5.12 ADDITIONAL READING 61 5.13 EXERCISES 61 6 THE
FREQUENCY RESPONSE OF FILTERS AND BANDLIMITED SIGNALS 64 6.1
INTRODUCTION 64 6.2 REVIEW OF THE FOURIER TRANSFORM 64 6.3 THE FREQUENCY
RESPONSE OF A FILTER 77 6.4 BANDLIMITED SIGNALS AND LOWPASS FILTERING 79
6.5 BANDLIMITED SIGNALS THROUGH STABLE FILTERS 89 6.6 THE BANDWIDTH OF A
PRODUCT OF TWO SIGNALS 90 6.7 BERNSTEIN S INEQUALITY 92 6.8 TIME-LIMITED
AND BANDLIMITED SIGNALS 93 6.9 A THEOREM BY PALEY AND WIENER 95 6.10
PICKET FENCES AND POISSON SUMMATION 96 6.11 ADDITIONAL READING 98 6.12
EXERCISES 99 CONTENTS IX 7 PASSBAND SIGNALS AND THEIR REPRESENTATION 101
7.1 INTRODUCTION 101 7.2 BASEBAND AND PASSBAND SIGNALS 101 7.3 BANDWIDTH
AROUND A CARRIER FREQUENCY 104 7.4 REAL PASSBAND SIGNALS 108 7.5 THE
ANALYTIC SIGNAL 109 7.6 BASEBAND REPRESENTATION OF REAL PASSBAND SIGNALS
116 7.7 ENERGY-LIMITED PASSBAND SIGNALS 130 7.8 SHIFTING TO PASSBAND AND
CONVOLVING 139 7.9 MATHEMATICAL COMMENTS 139 7.10 EXERCISES 140 8
COMPLETE ORTHONORMAL SYSTEMS AND THE SAMPLING THEOREM 143 8.1
INTRODUCTION 143 8.2 COMPLETE ORTHONORMAL SYSTEM 143 8.3 THE FOURIER
SERIES 147 8.4 THE SAMPLING THEOREM 148 8.5 CLOSED SUBSPACES OF 2 152
8.6 AN ISOMORPHISM 156 8.7 PROLATE SPHEROIDAL WAVE FUNCTIONS 157 8.8
EXERCISES 158 9 SAMPLING REAL PASSBAND SIGNALS 161 9.1 INTRODUCTION 161
9.2 COMPLEX SAMPLING 162 9.3 RECONSTRUCTING *** FROM ITS COMPLEX SAMPLES
163 9.4 EXERCISES 166 10 MAPPING BITS TO WAVEFORMS 169 10.1 WHAT IS
MODULATION? 169 10.2 MODULATING ONE BIT 170 10.3 FROM BITS TO REAL
NUMBERS 171 10.4 BLOCK-MODE MAPPING OF BITS TO REAL NUMBERS 172 10.5
FROM REAL NUMBERS TO WAVEFORMS WITH LINEAR MODULATION 174 10.6
RECOVERING THE SIGNAL COEFFICIENTS WITH A MATCHED FILTER 175 10.7 PULSE
AMPLITUDE MODULATION 176 X CONTENTS 10.8 CONSTELLATIONS 177 10.9 DESIGN
CONSIDERATIONS 179 10.10 SOME IMPLEMENTATION CONSIDERATIONS 181 10.11
EXERCISES 183 11 NYQUIST S CRITERION 185 11.1 INTRODUCTION 185 11.2 THE
SELF-SIMILARITY FUNCTION OF ENERGY-LIMITED SIGNALS 186 11.3 NYQUIST S
CRITERION 189 11.4 THE SELF-SIMILARITY FUNCTION OF INTEGRABLE SIGNALS
198 11.5 EXERCISES 198 12 STOCHASTIC PROCESSES: DEFINITION 201 12.1
INTRODUCTION AND CONTINUOUS-TIME HEURISTICS 201 12.2 A FORMAL DEFINITION
203 12.3 DESCRIBING STOCHASTIC PROCESSES 204 12.4 ADDITIONAL READING 205
12.5 EXERCISES 205 13 STATIONARY DISCRETE-TIME STOCHASTIC PROCESSES 208
13.1 INTRODUCTION 208 13.2 STATIONARY PROCESSES 208 13.3 WIDE-SENSE
STATIONARY STOCHASTIC PROCESSES 209 13.4 STATIONARITY AND WIDE-SENSE
STATIONARITY 210 13.5 THE AUTOCOVARIANCE FUNCTION 211 13.6 THE POWER
SPECTRAL DENSITY FUNCTION 213 13.7 THE SPECTRAL DISTRIBUTION FUNCTION
217 13.8 EXERCISES 218 14 ENERGY AND POWER IN *** 220 14.1 INTRODUCTION
220 14.2 ENERGY IN *** 220 14.3 DEFINING THE POWER IN *** 223 14.4 ON
THE MEAN OF TRANSMITTED WAVEFORMS 225 14.5 COMPUTING THE POWER IN ***
226 14.6 A MORE FORMAL ACCOUNT 237 14.7 EXERCISES 241 CONTENTS XI 15
OPERATIONAL POWER SPECTRAL DENSITY 245 15.1 INTRODUCTION 245 15.2
MOTIVATION 245 15.3 DEFINING THE OPERATIONAL PSD 250 15.4 THE
OPERATIONAL PSD OF REAL *** SIGNALS 252 15.5 A MORE FORMAL ACCOUNT 257
15.6 EXERCISES 263 16 QUADRATURE AMPLITUDE MODULATION 265 16.1
INTRODUCTION 265 16.2 *** FOR PASSBAND? 267 16.3 THE QAM SIGNAL 267 16.4
BANDWIDTH CONSIDERATIONS 270 16.5 ORTHOGONALITY CONSIDERATIONS 270 16.6
SPECTRAL EFFICIENCY 273 16.7 QAM CONSTELLATIONS 274 16.8 RECOVERING THE
COMPLEX SYMBOLS VIA INNER PRODUCTS 275 16.9 EXERCISES 280 17 COMPLEX
RANDOM VARIABLES AND PROCESSES 283 17.1 INTRODUCTION 283 17.2 NOTATION
284 17.3 COMPLEX RANDOM VARIABLES 285 17.4 COMPLEX RANDOM VECTORS 292
17.5 DISCRETE-TIME COMPLEX STOCHASTIC PROCESSES 297 17.6 ON THE
EIGENVALUES OF LARGE TOEPLITZ MATRICES 304 17.7 EXERCISES 304 18 ENERGY,
POWER, AND PSD IN QAM 307 18.1 INTRODUCTION 307 18.2 THE ENERGY IN QAM
307 18.3 THE POWER IN QAM 310 18.4 THE OPERATIONAL PSD OF QAM SIGNALS
315 18.5 A FORMAL ACCOUNT OF POWER IN PASSBAND AND BASEBAND 320 18.6 A
FORMAL ACCOUNT OF THE PSD IN BASEBAND AND PASSBAND 327 18.7 EXERCISES
336 XII CONTENTS 19 THE UNIVARIATE GAUSSIAN DISTRIBUTION 339 19.1
INTRODUCTION 339 19.2 STANDARD GAUSSIAN RANDOM VARIABLES 339 19.3
GAUSSIAN RANDOM VARIABLES 341 19.4 THE Q-FUNCTION 344 19.5 INTEGRALS OF
EXPONENTIATED QUADRATICS 348 19.6 THE MOMENT GENERATING FUNCTION 349
19.7 THE CHARACTERISTIC FUNCTION OF GAUSSIANS 350 19.8 CENTRAL AND
NONCENTRAL CHI-SQUARE RANDOM VARIABLES 352 19.9 THE LIMIT OF GAUSSIANS
IS GAUSSIAN 356 19.10 ADDITIONAL READING 358 19.11 EXERCISES 358 20
BINARY HYPOTHESIS TESTING 360 20.1 INTRODUCTION 360 20.2 PROBLEM
FORMULATION 361 20.3 GUESSING IN THE ABSENCE OF OBSERVABLES 362 20.4 THE
JOINT LAW OF H AND Y 363 20.5 GUESSING AFTER OBSERVING Y 365 20.6
RANDOMIZED DECISION RULES 368 20.7 THE MAP DECISION RULE 370 20.8 THE ML
DECISION RULE 372 20.9 PERFORMANCE ANALYSIS: THE BHATTACHARYYA BOUND 373
20.10 EXAMPLE 373 20.11 (NONTELEPATHIC) PROCESSING 376 20.12 SUFFICIENT
STATISTICS 381 20.13 CONSEQUENCES OF OPTIMALITY 389 20.14
MULTI-DIMENSIONAL BINARY GAUSSIAN HYPOTHESIS TESTING 390 20.15 GUESSING
IN THE PRESENCE OF A RANDOM PARAMETER 396 20.16 MATHEMATICAL NOTES 398
20.17 EXERCISES 398 21 MULTI-HYPOTHESIS TESTING 404 21.1 INTRODUCTION
404 21.2 THE SETUP 404 21.3 OPTIMAL GUESSING 405 CONTENTS XIII 21.4
EXAMPLE: MULTI-HYPOTHESIS TESTING FOR 2D SIGNALS 410 21.5 THE
UNION-OF-EVENTS BOUND 414 21.6 MULTI-DIMENSIONAL M-ARY GAUSSIAN
HYPOTHESIS TESTING 421 21.7 ADDITIONAL READING 427 21.8 EXERCISES 427 22
SUFFICIENT STATISTICS 430 22.1 INTRODUCTION 430 22.2 DEFINITION AND MAIN
CONSEQUENCE 431 22.3 EQUIVALENT CONDITIONS 433 22.4 IDENTIFYING
SUFFICIENT STATISTICS 443 22.5 IRRELEVANT DATA 447 22.6 TESTING WITH
RANDOM PARAMETERS 449 22.7 ADDITIONAL READING 451 22.8 EXERCISES 451 23
THE MULTIVARIATE GAUSSIAN DISTRIBUTION 454 23.1 INTRODUCTION 454 23.2
NOTATION AND PRELIMINARIES 455 23.3 SOME RESULTS ON MATRICES 457 23.4
RANDOM VECTORS 463 23.5 A STANDARD GAUSSIAN VECTOR 469 23.6 GAUSSIAN
RANDOM VECTORS 470 23.7 JOINTLY GAUSSIAN VECTORS 483 23.8 MOMENTS AND
WICK S FORMULA 486 23.9 THE LIMIT OF GAUSSIAN VECTORS IS A GAUSSIAN
VECTOR 487 23.10 ADDITIONAL READING 489 23.11 EXERCISES 489 24 COMPLEX
GAUSSIANS AND CIRCULAR SYMMETRY 494 24.1 INTRODUCTION 494 24.2 SCALARS
494 24.3 VECTORS 502 24.4 EXERCISES 509 25 CONTINUOUS-TIME STOCHASTIC
PROCESSES 512 25.1 NOTATION 512 XIV CONTENTS 25.2 THE FINITE-DIMENSIONAL
DISTRIBUTIONS 512 25.3 DEFINITION OF A GAUSSIAN SP 515 25.4 STATIONARY
CONTINUOUS-TIME PROCESSES 516 25.5 STATIONARY GAUSSIAN STOCHASTIC
PROCESSES 518 25.6 PROPERTIES OF THE AUTOCOVARIANCE FUNCTION 520 25.7
THE POWER SPECTRAL DENSITY OF A CONTINUOUS-TIME SP 522 25.8 THE SPECTRAL
DISTRIBUTION FUNCTION 525 25.9 THE AVERAGE POWER 528 25.10 LINEAR
FUNCTIONAIS 530 25.11 LINEAR FUNCTIONAIS OF GAUSSIAN PROCESSES 537 25.12
THE JOINT DISTRIBUTION OF LINEAR FUNCTIONAIS 542 25.13 FILTERING WSS
PROCESSES 546 25.14 THE PSD REVISITED 552 25.15 WHITE GAUSSIAN NOISE 554
25.16 EXERCISES 558 26 DETECTION IN WHITE GAUSSIAN NOISE 562 26.1
INTRODUCTION 562 26.2 SETUP 562 26.3 SUFFICIENT STATISTICS WHEN
OBSERVING A SP 563 26.4 MAIN RESULT 567 26.5 ANALYZING THE SUFFICIENT
STATISTIC 569 26.6 OPTIMAL GUESSING RULE 572 26.7 PERFORMANCE ANALYSIS
576 26.8 PROOF OF THEOREM 26.4.1 577 26.9 THE FRONT-END FILTER 582 26.10
DETECTION IN PASSBAND 584 26.11 SOME EXAMPLES 586 26.12 DETECTION IN
COLORED NOISE 599 26.13 DETECTING SIGNALS OF INFINITE BANDWIDTH 604
26.14 A PROOF OF LEMMA 26.8.1 606 26.15 EXERCISES 608 27 NONCOHERENT
DETECTION AND NUISANCE PARAMETERS 613 27.1 INTRODUCTION AND MOTIVATION
613 27.2 THE SETUP 615 XV 27.3 A SUFFICIENT STATISTIC 616 27.4 THE
CONDITIONAL LAW OF THE SUFFICIENT STATISTIC 621 27.5 AN OPTIMAL DETECTOR
624 27.6 THE PROBABILITY OF ERROR 626 27.7 DISCUSSION 628 27.8 EXTENSION
TO M 2 SIGNALS 629 27.9 EXERCISES 631 28 DETECTING *** AND QAM SIGNALS
IN WHITE GAUSSIAN NOISE 634 28.1 INTRODUCTION AND SETUP 634 28.2
SUFFICIENT STATISTIC AND ITS CONDITIONAL LAW 635 28.3 CONSEQUENCES OF
SUFFICIENCY AND OTHER OPTIMALITY CRITERIA 637 28.4 CONSEQUENCES OF
ORTHONORMALITY 639 28.5 EXTENSION TO QAM COMMUNICATIONS 642 28.6
ADDITIONAL READING 649 28.7 EXERCISES 649 29 LINEAR BINARY BLOCK CODES
WITH ANTIPODAL SIGNALING 653 29.1 INTRODUCTION AND SETUP 653 29.2 THE
BINARY FIELD F 2 AND THE VECTOR SPACE F 654 29.3 BINARY LINEAR ENCODERS
AND CODES 657 29.4 BINARY ENCODERS WITH ANTIPODAL SIGNALING 659 29.5
POWER AND OPERATIONAL POWER SPECTRAL DENSITY 661 29.6 PERFORMANCE
CRITERIA 665 29.7 MINIMIZING THE BLOCK ERROR RATE 666 29.8 MINIMIZING
THE BIT ERROR RATE 671 29.9 ASSUMING THE ALL-ZERO CODEWORD 675 29.10
SYSTEM PARAMETERS 680 29.11 HARD VS. SOFT DECISIONS 681 29.12 THE
VARSHAMOV AND SINGLETON BOUNDS 681 29.13 ADDITIONAL READING 682 29.14
EXERCISES 682 A ON THE FOURIER SERIES 686 A.L INTRODUCTION AND
PRELIMINARIES 686 A.2 RECONSTRUCTION IN C T 688 XVI CONTENTS A.3
GEOMETRIE CONSIDERATIONS 691 A.4 POINTWISE RECONSTRUCTION 695
BIBLIOGRAPHY 697 THEOREMS REFERENCED BY NAME 702 ABBREVIATIONS 703 LIST
OF SYMBOLS 704 INDEX 711
|
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| id | DE-604.BV024629369 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T11:14:04Z |
| institution | BVB |
| isbn | 9780521193955 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018600983 |
| oclc_num | 401145627 |
| open_access_boolean | |
| owner | DE-83 DE-29T DE-706 DE-863 DE-BY-FWS |
| owner_facet | DE-83 DE-29T DE-706 DE-863 DE-BY-FWS |
| physical | XXV, 723 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | Cambridge University Press |
| record_format | marc |
| spellingShingle | Lapidoth, Amos A foundation in digital communication Transmission numérique ram Digital communications Telekommunikation (DE-588)4059360-5 gnd Digitale Nachrichtentechnik (DE-588)4224275-7 gnd |
| subject_GND | (DE-588)4059360-5 (DE-588)4224275-7 |
| title | A foundation in digital communication |
| title_auth | A foundation in digital communication |
| title_exact_search | A foundation in digital communication |
| title_full | A foundation in digital communication Amos Lapidoth |
| title_fullStr | A foundation in digital communication Amos Lapidoth |
| title_full_unstemmed | A foundation in digital communication Amos Lapidoth |
| title_short | A foundation in digital communication |
| title_sort | a foundation in digital communication |
| topic | Transmission numérique ram Digital communications Telekommunikation (DE-588)4059360-5 gnd Digitale Nachrichtentechnik (DE-588)4224275-7 gnd |
| topic_facet | Transmission numérique Digital communications Telekommunikation Digitale Nachrichtentechnik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018600983&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lapidothamos afoundationindigitalcommunication |
Inhaltsverzeichnis
Würzburg Magazin
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1911 2019:0001 |
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