Synchronization in digital communications: 1 Phase-, frequency-locked loops, and amplitude control
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Wiley
1990
|
| Series: | Wiley series in telecommunications
A Wiley-Interscience publication |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 510 S. graph. Darst. |
| ISBN: | 047150193X |
Staff View
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
| 001 | BV004065796 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 901012s1990 d||| |||| 00||| engod | ||
| 020 | |a 047150193X |9 0-471-50193-X | ||
| 035 | |a (OCoLC)311350864 | ||
| 035 | |a (DE-599)BVBBV004065796 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-29T |a DE-92 |a DE-706 | ||
| 100 | 1 | |a Meyr, Heinrich |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Synchronization in digital communications |n 1 |p Phase-, frequency-locked loops, and amplitude control |c Heinrich Meyr ; Gerd Ascheid |
| 264 | 1 | |a New York u.a. |b Wiley |c 1990 | |
| 300 | |a XVIII, 510 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Wiley series in telecommunications | |
| 490 | 0 | |a A Wiley-Interscience publication | |
| 700 | 1 | |a Ascheid, Gerd |e Verfasser |4 aut | |
| 773 | 0 | 8 | |w (DE-604)BV004065787 |g 1 |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002542498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002542498 | ||
Record in the Search Index
| _version_ | 1804118296310579200 |
|---|---|
| adam_text | IMAGE 1
SYNCHRONIZATION
IN DIGITAL
COMMUNICATIONS VOLUME 1
PHASE-, FREQUENCY-LOCKED LOOPS, AND AMPLITUDE CONTROL
HEINRICH MEYR AACHEN UNIVERSITY OF TECHNOLOGY (RWTH)
GERD ASCHEID CADIS GMBH, AACHEN
WILEY
A WILEY-LNTERSCIENCE PUBLICATION
JOHN WILEY & SONS
NEW YORK * CHICESTER * BRISBANE * TORONTO * SINGAPORE
IMAGE 2
CONTENTS
PREFACE ACKNOWLEDGEMENTS
XIII
XVII
PART 1
CHAPTER 1 INTRODUCTION
1
3
1.1. TOPICAL OUTLINE 3
1.2. POSSIBLE APPROACHES 8
1.3. IMPLEMENTATION OF SYNCHRONIZERS 1.4. OUTLINE 14
1.5. REFERENCES TO VOLUME 1 16
11
PART 2 19
CHAPTER 2 PHASE-LOCKED LOOP FUNDAMENTALS 21
2.1. AUTOMATIC PHASE CONTROL 21
2.2. THE PHASE-LOCKED LOOP 23
2.3. THE LINEAR APPROXIMATION 26 2.3.1. BASIC TRANSFER FUNCTIONS 27
2.3.2. STEADY-STATE PHASE ERROR 28 2.3.3. DESIGN OF FEEDBACK SYSTEMS
USING THE BODE
DIAGRAM 30
2.4. SECOND-ORDER PHASE-LOCKED LOOP 35 2.4.1. TRANSFER FUNCTIONS 35
2.4.2. STABILITY CONSIDERATIONS 42 2.4.3. STATE VARIABLE DESCRIPTION 44
2.4.4. TRANSIENT LOOP RESPONSE UNDER LINEAR CONDITIONS 48
VII
IMAGE 3
VIII CONTENTS
2.5. THIRD-ORDER, TYPE-3 PHASE-LOCKED LOOP 54 2.5.1. TRANSFER FUNCTIONS
54
2.5.2. STABILITY CONSIDERATIONS 55 2.5.3. STATE VARIABLE DESCRIPTION 57
2.5.4. TRANSIENT LOOP RESPONSE UNDER LINEAR CONDITIONS 59
2.5.5. COMPARISON OF THE TRANSIENT RESPONSE OF A SECOND-ORDER AND A
THIRD-ORDER LOOP 60 2.6. PHASE DETECTORS 66
2.6.1. MULTIPLIER TYPE PHASE DETECTORS 67 2.6.2. SEQUENTIAL LOGIC PHASE
DETECTORS 69 2.7. CHARGE PUMP PHASE-LOCKED LOOPS 79 2.7.1. PRINCIPLES OF
CHARGE PUMP PHASE-LOCKED
LOOPS 79
2.7.2. QUASI-CONTINUOUS ANALYSIS OF THE CHARGE PUMP PHASE-LOCKED LOOP 82
2.7.3. PHASE ACCURACY OF A PRACTICAL SECOND-ORDER CHARGE PUMP
PHASE-LOCKED LOOP 89 2.7.4. EXACT ANALYSIS OF A SECOND-ORDER CHARGE
PUMP PHASE-LOCKED LOOP 91 2.8. RANDOM PHASE AND FREQUENCY MODULATION 95
CHAPTER 3 PHASE-LOCKED LOOP TRACKING PERFORMANCE IN THE PRESENCE OF
NOISE 99
3.1. NARROWBAND GAUSSIAN NOISE PROCESS 99 3.2. PHASE DETECTOR OPERATION
IN THE PRESENCE OF ADDITIVE NOISE 106
3.2.1. SINUSOIDAL PHASE DETECTOR CHARACTERISTICS 106 3.2.2.
NONSINUSOIDAL PHASE DETECTOR CHARACTERISTICS 110 3.3. ADDITIVE NOISE IN
LINEAR MODEL 123 3.4. STATE VARIABLE EQUATIONS IN THE PRESENCE OF
ADDITIVE
NOISE 130
3.5. TIME AND FREQUENCY STABILITY OF SIGNAL GENERATORS 133
3.5.1. CHARACTERIZATION OF TIME PROPERTIES 134 3.5.2. STANDARD
PARAMETERS CHARACTERIZING RANDOM FLUCTUATIONS OF OSCILLATORS 140
3.5.3. TIME DOMAIN TO FREQUENCY DOMAIN INTERCONNECTIONS 141 3.5.4.
FREQUENCY DOMAIN MODEL OF OSCILLATOR PHASE NOISE 144
3.6. EFFECT OF OSCILLATOR PHASE NOISE ON THE PHASE-LOCKED LOOP TRACKING
PERFORMANCE 147
IMAGE 4
CONTENTS JX
3.7. OPTIMIZATION OF THE TRACKING PERFORMANCE IN THE
PRESENCE OF NOISE 150
APPENDIX 3.2A. THE CLOSED-LOOP PHASE-LOCKED LOOP WITH MULTIPLIER-TYPE
PHASE DETECTOR AND THE EXACT NOISE MODEL N (T, @(T)) 155 APPENDIX 3.2B.
COMPLEX ENVELOPE REPRESENTATION OF
SIGNALS 157
CHAPTER 4 UNAIDED ACQUISITION 163
4.1. INTRODUCTION 163
4.2. FIRST-ORDER LOOP 163
4.2.1. PHASE ACQUISITION IN THE ABSENCE OF NOISE 163
4.2.2. PHASE ACQUISITION IN THE PRESENCE OF ADDITIVE NOISE 171
4.3. SECOND-ORDER LOOP 176
4.3.1. FREQUENCY ACQUISITION 176 4.4. GENERALIZED STUDY OF FREQUENCY
ACQUISITION FAILURE 188
APPENDIX 4.2A. PHASE ACQUISITION PROBABILITY OF A FIRSTORDER
PHASE-LOCKED LOOP WITH SINUSOIDAL PHASE DETECTOR 193
CHAPTER 5 AIDED ACQUISITION 5.1. PHASE ACQUISITION 195
5.2. FREQUENCY ACQUISITION 199 5.2.1. SWEEPING 199
5.2.2. FREQUENCY DISCRIMINATOR AIDED ACQUISITION 211 5.2.3. ACQUISITION
AID USING A NONLINEARITY 218
195
CHAPTER 6 LOOP THRESHOLD 227
6.1. 6.2.
6.3.
231
INTRODUCTION 227 UNDERSTANDING CYCLE SLIPS 229 6.2.1. LOOPS WITH SMALL
DAMPING FACTORS 6.2.2. OVERDAMPED LOOPS ( 1) 239
6.2.3. FREQUENCY DETUNING 242 CYCLE SLIP STATISTICS FOR A WIDEBAND NOISE
DISTURBANCE 246 6.3.1. MEASUREMENT OF CYCLE SLIPS: EXPERIMENTAL
CONFIGURATION 246 EXPERIMENTAL RESULTS 248 THEORETICAL RESULTS 251 LOOP
PARAMETERS FOR MAXIMUM MEANTIME BETWEEN CYCLE SLIPS 255
6.3.2. 6.3.3. 6.3.4.
IMAGE 5
X CONTENTS
PART3 261
CHAPTER 7 AMPLITUDE CONTROL 263
7.1.
7.2,
7.2.3. 7.2.4. 7.2.5. 7.2.6. 7.2.7.
7.2.8.
APPENDIX 7.
APPENDIX 7.
APPENDIX 7.1*.
LIMITERS 263
7.1.1. BANDPASS LIMITERS 263 7.1.2. LIMITER FOLLOWED BY A PHASE DETECTOR
AUTOMATIC GAIN CONTROL CIRCUITS 273 7.2.1. GAIN CONTROLLED AMPLIFIERS
274
7.2.2. DETECTORS 276
THE AUTOMATIC GAIN CONTROL LOOP 281 STEADY-STATE ANALYSIS 283 LINEAR
APPROXIMATIONS 286 EXACT DYNAMICS 290 ACQUISITION OF COHERENT AUTOMATIC
GAIN
CONTROL AND PHASE-LOCKED LOOP 294 MISCELLANEOUS MODIFICATIONS OF
AUTOMATIC GAIN CONTROL 295
1A. SERIES REPRESENTATION OF THE HARD LIMITER OUTPUT SIGNAL 297 IB.
EXPECTED VALUES E[G 0 (4 + 0 J ], *[8 2 0 (* + * )} 298 THE MODIFIED
BESSEL FUNCTIONS / (*) 302
267
CHAPTER 8 AUTOMATIC FREQUENCY CONTROL 305
8.1. INTRODUCTION 305
8.2. STRUCTURES OF FREQUENCY DETECTORS 305 8.2.1. OPTIMAL FREQUENCY
ESTIMATOR 305 8.2.2. SUBOPTIMAL FREQUENCY ESTIMATION METHODS 310
PERFORMANCE IN THE PRESENCE OF ADDITIVE NOISE 316 8.3. APPENDIX 8.2A.
APPENDIX 8.2B. APPENDIX 8.**.
MAXIMUM LIKELIHOOD (ML) PARAMETER ESTIMATION 326
OPTIMAL PHASE ESTIMATOR 329 EVALUATION OF GAUSSIAN MOMENTS 330
PART 4 333
CHAPTER 9 BRIEF REVIEW OF SOME MATHEMATICAL FUNDAMENTALS 9.1.
INTRODUCTION 335
9.2. STOCHASTIC DIFFERENTIAL EQUATIONS 336 9.3. FOKKER-PLANCK EQUATION
338 9.3.1. DERIVATION OF THE FOKKER-PLANCK EQUATION 338
9.3.2. INTENSITY COEFFICIENTS 341
335
IMAGE 6
CONTENTS XI
9.3.3. PHYSICAL INTERPRETATION OF THE FOKKER-PLANCK
EQUATION 350
9.3.4. N-DIMENSIONAL FOKKER-PLANCK EQUATION 351 9.3.5. FORMAL DERIVATION
OF THE INTENSITY COEFFICIENTS FOR A VECTOR PROCESS 353
9.3.6. INITIAL AND BOUNDARY CONDITIONS 356 9.3.7. DISTURBANCE OF SYSTEMS
BY IMPULSIVE NOISE 359
CHAPTER 10 RELAXATION TIMES, MEANTIME BETWEEN CYCLE SLIPS, TRANSITION
RATES, AND EIGENVALUES OF FOKKER-PLANCK OPERATORS 363
10.1. INTRODUCTION 363
10.2. MODULO 2** PHASE ERROR PROCESS 365 10.3. RENEWAL PROCESS 366 10.4.
BISTABLE AND MULTISTABLE CYCLIC MODELS 369 10.5. COARSE-GRAINED MODEL
371
CHAPTER 11 RENEWAL PROCESS APPROACH 373
11.1. FIRST-ORDER SYSTEMS WITH PERIODIC PHASE DETECTOR CHARACTERISTIC
373 11.1.1. MODELING THE PHASE ERROR AS A RENEWAL PROCESS 373
11.1.2. PROBABILITY LAWS OF THE SINGLE PROCESS 376
11.1.3. BASIC RECURRENCE RELATIONS FOR THE RENEWAL PROCESS 380 11.1.4.
MODIFIED FOKKER-PLANCK EQUATION OF THE RENEWAL PROCESS 383 11.1.5.
EQUATIONS FOR THE STEADY STATE 385
11.1.6. STATIONARY PHASE ERROR DISTRIBUTION, MEANTIME BETWEEN CYCLE
SLIPS AND MEAN CYCLE SLIP RATE 388
11.1.7. TIME-DEPENDENT SOLUTION OF THE FOKKERPLANCK EQUATION OF THE
SINGLE PROCESS 398
11.1.8. DISTRIBUTION OF RENEWAL EPOCHS T AND ASSOCIATED JUMPS RJ N 401
11.1.9. TIME-DEPENDENT PROBABILITY DENSITY FUNCTION OF THE RENEWAL
PROCESS 406 11.1.10. NUMERICAL EXAMPLE: FIRST-ORDER PHASELOCKED LOOP 407
11.2. HIGHER ORDER SYSTEMS WITH PERIODIC PHASE DETECTOR CHARACTERISTIC
412 11.2.1. MODELING OF THE PHASE ERROR AS A VECTOR RENEWAL PROCESS 412
IMAGE 7
XII CONTENTS
11.2.2. PROBABILITY LAWS OF THE SINGLE PROCESS 413
11.2.3. BASIC RECURRENCE RELATIONS OF THE VECTOR RENEWAL PROCESS 416
11.2.4. MODIFIED FOKKER-PLANCK EQUATION OF THE RENEWAL PROCESS 420
11.2.5. EQUATIONS FOR THE STEADY STATE 423 11.2.6. MEANTIME BETWEEN
CYCLE SLIPS 425
11.2.7. APPROXIMATIVE USE OF RENEWAL THEORY IN THE STRICT SENSE 427
11.2.8. STABILITY, PERSISTANCE, AND STEADY-STATE DISTRIBUTION 429 11.3.
SYSTEMS WITH APERIODIC PHASE DETECTOR CHARACTERISTIC 432
11.3.1. MATHEMATICAL MODEL OF THE DELAY-LOCKED LOOP 432
11.3.2. FOKKER-PLANCK EQUATION 437 11.3.3. MODELING THE OPERATION OF THE
DELAYLOCKED LOOP AS A RENEWAL PROCESS 439 11.3.4. FOKKER-PLANCK EQUATION
FOR A PROCESS WITH
DISTRIBUTED SINKS 441 11.3.5. NUMERICAL EXAMPLE: FIRST-ORDER DELAYLOCKED
LOOP 445
APPENDIX 11.1 A. NORMALIZED STOCHASTIC DIFFERENTIAL EQUATION OF
FIRST-ORDER SYSTEMS WITH STATE-DEPENDENT NOISE INTENSITY 452
CHAPTER 12 THE MATRIX EIGENVALUE APPROACH 455
12.1. EIGENFUNCTIONS OF THE OPERATOR L 456 12.2. MODERATE NOISE AND
COARSE-GRAINING TO A MARKOVIAN JUMP PROCESS 457 12.3. M-ATTRACTOR CYCLIC
MODELS 461
12.4. NUMERICAL COMPUTATION OF THE EIGENVALUES 466 12.5. THE MATRIX A
FOR FIRST-ORDER SYSTEMS (M = 2 ATTRACTORS) 467
12.6. DECOMPOSITION OF THE MATRIX A AND GEOMETRIC INTERPRETATIONS (M = 2
ATTRACTORS) 475 12.7. THE MATRIX A FOR THE MH ORDER SYSTEM 480 12.8.
DECOMPOSITION OF THE MATRIX A FOR AN M-ATTRACTOR
MODEL OF AN NTH ORDER SYSTEM 485 12.9. NUMERICAL EXAMPLES 488 APPENDIX
12.A. A BRIEF ACCOUNT ON WEAK NOISE THEORIES 498
EPILOGUE: UNEXPLORED TOPICS 501
INDEX 505
|
| any_adam_object | 1 |
| author | Meyr, Heinrich Ascheid, Gerd |
| author_facet | Meyr, Heinrich Ascheid, Gerd |
| author_role | aut aut |
| author_sort | Meyr, Heinrich |
| author_variant | h m hm g a ga |
| building | Verbundindex |
| bvnumber | BV004065796 |
| ctrlnum | (OCoLC)311350864 (DE-599)BVBBV004065796 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01235nam a2200313 cc4500</leader><controlfield tag="001">BV004065796</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">901012s1990 d||| |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">047150193X</subfield><subfield code="9">0-471-50193-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)311350864</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004065796</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Meyr, Heinrich</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Synchronization in digital communications</subfield><subfield code="n">1</subfield><subfield code="p">Phase-, frequency-locked loops, and amplitude control</subfield><subfield code="c">Heinrich Meyr ; Gerd Ascheid</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York u.a.</subfield><subfield code="b">Wiley</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 510 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Wiley series in telecommunications</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">A Wiley-Interscience publication</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ascheid, Gerd</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="w">(DE-604)BV004065787</subfield><subfield code="g">1</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002542498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002542498</subfield></datafield></record></collection> |
| id | DE-604.BV004065796 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:08:02Z |
| institution | BVB |
| isbn | 047150193X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002542498 |
| oclc_num | 311350864 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-29T DE-92 DE-706 |
| owner_facet | DE-91 DE-BY-TUM DE-29T DE-92 DE-706 |
| physical | XVIII, 510 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in telecommunications A Wiley-Interscience publication |
| spelling | Meyr, Heinrich Verfasser aut Synchronization in digital communications 1 Phase-, frequency-locked loops, and amplitude control Heinrich Meyr ; Gerd Ascheid New York u.a. Wiley 1990 XVIII, 510 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in telecommunications A Wiley-Interscience publication Ascheid, Gerd Verfasser aut (DE-604)BV004065787 1 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002542498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Meyr, Heinrich Ascheid, Gerd Synchronization in digital communications |
| title | Synchronization in digital communications |
| title_auth | Synchronization in digital communications |
| title_exact_search | Synchronization in digital communications |
| title_full | Synchronization in digital communications 1 Phase-, frequency-locked loops, and amplitude control Heinrich Meyr ; Gerd Ascheid |
| title_fullStr | Synchronization in digital communications 1 Phase-, frequency-locked loops, and amplitude control Heinrich Meyr ; Gerd Ascheid |
| title_full_unstemmed | Synchronization in digital communications 1 Phase-, frequency-locked loops, and amplitude control Heinrich Meyr ; Gerd Ascheid |
| title_short | Synchronization in digital communications |
| title_sort | synchronization in digital communications phase frequency locked loops and amplitude control |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002542498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004065787 |
| work_keys_str_mv | AT meyrheinrich synchronizationindigitalcommunications1 AT ascheidgerd synchronizationindigitalcommunications1 |