Theory of the non-linear analog phase locked loop:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
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| Schriftenreihe: | Lecture notes in control and information sciences
304 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 285 S. graph. Darst. |
| ISBN: | 3540213392 |
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| 100 | 1 | |a Margaris, Nikolaos I. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Theory of the non-linear analog phase locked loop |c Nikolaos I. Margaris |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a XV, 285 S. |b graph. Darst. | ||
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| 650 | 4 | |a Nonlinear theories | |
| 650 | 4 | |a Phase-locked loops | |
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| adam_text | NIKOLAOS I. MARGARIS THEORY OF THE NON-LINEAR ANALOG PHASE LOCKED LOOP
WITH 134FIGURES SPRINGER CONTENTS PART I. PRELIMINARIES 1 1.
INTRODUCTION 4 1.1 PLL STRUCTURE 4 1.2 PLLS CLASSIFICATION 5 1.3 THE
WEAKPOINTS OF THE CLASSICAL PLLTHEORY 6 1.4 SCOPE AND METHODOLOGY 7
REFERENCES 10 2. PLL COMPONENTS 13 2.1 PLL STRUCTURE 13 2.2 VOLTAGE
CONTROLLED OSCILLATOR 13 2.2-1 VCO REPRESENTATION 14 2.2-2
TRANSFORMATION OF THE VCO EQUATION 16 2.2-3 AVERAGED VCO EQUATIONS 19
2.3 PHASE DETECTOR 21 2.4 LOW-PASS FILTER 23 2.4-1 PHASE LEAD-LAG FILTER
23 2.4-2 PI CONTROLLER 25 2.5 CONCLUSIONS 27 REFERENCES 28 PART IL FIRST
ORDER PLL 31 3. INTRODUCTION TO FIRST ORDER PLL 33 3.1 REPRESENTATION OF
THE FIRST ORDER LOOP. GENERAL FORM. . 33 3.2 PHYSICAL INTERPRETATION OF
THE PLL MECHANISM 36 3.2-1 MAIN SYNCHRONIZATION 36 3.2-2 THIRD HARMONIC
SYNCHRONIZATION 38 3.3 REPRESENTATION OF THE FIRST ORDER PLL. SPECIFIC
FORM . 38 3.4 PRELIMINARY INVESTIGATION 40 XII CONTENTS 3.5 CONCLUSIONS
42 REFERENCES 43 4. MAIN SYNCHRONIZATION 45 4.1 LOCAL STABILITY 45 4.1-1
EQUILIBRIUM POINTS 45 4.1-2 EFFECT OF PARAMETERS ON EQUILIBRIUM POINTS
... 47 4.1-3 COMMENT 51 4.1-4 LOCAL STABILITY CONDITIONS 51 4.2 HOLD-IN
RAENGE 53 4.3 TRACKING RAENGE 57 4.4 GLOBAL DYNAMIC BEHAVIOUR 63 4.4-1
TRANSFORMATION OF THE AVERAGED EQUATIONS . ... 63 4.4-2 CAPTURE
PHENOMENON 64 4.4-3 DETUNING 72 4.5 CONCLUSIONS 74 REFERENCES 74 5.
THIRD HARMONIC SYNCHRONIZATION 75 5.1 LOCAL STABILITY 75 5.1-1
EQUILIBRIUM POINTS 76 5.1-2 EFFECT OF PARAMETERS ON EQUILIBRIUM POINTS
... 77 5.1-3 LOCAL STABILITY CONDITIONS 78 5.2 HOLD-IN RAENGE 80 5.3
TRACKING RAENGE 81 5.4 GLOBAL DYNAMIC BEHAVIOUR 83 5.4-1 TRANSFORMATION
OF AVERAGED EQUATIONS 83 5.4-2 CAPTURE PHENOMENON 83 5.4-3 DETUNING 84
5.5 CONCLUSIONS 85 PART III. SECOND ORDER TYPE-I PLL 87 6. INTRODUCTION
TO SECOND ORDER TYPE-I PLL 89 6.1 REPRESENTATION OF THE SECOND ORDER
TYPE-II PLL . . . . 90 6.1-1 EXACT EQUATIONS 91 6.1-2 AVERAGED EQUATIONS
92 6.2 PRELIMINARY INVESTIGATION 94 REFERENCES 99 CONTENTS XIII 7. THIRD
HARMONIC SYNCHRONIZATION 10 1 7.1 LOCAL STABILITY 101 7.1-1 EQUILIBRIUM
POINTS 102 7.1-2 LOCAL STABILITY CONDITIONS 102 7.1-3 HOLD-IN RAENGE 104
7.2 GLOBAL STABILITY 105 7.3 CONCLUSIONS 111 8. MAIN SYNCHRONIZATION 113
8.1 LOCAL STABILITY 113 8.1-1 EQUILIBRIUM POINTS 113 8.1-2 LOCAL
STABILITY CONDITIONS 116 8.2 HOLD-IN RAENGE 118 8.2-1 EFFECT OF
PARAMETERS ON HOLD-IN RAENGE 118 8.3 GLOBAL STABILITY 123 8.3-1 SLOW
CAPTURE 123 8.3-2 MEAN CAPTURE RAENGE 127 8.3-3 EFFECT OF PARAMETERS ON
MEAN CAPTURE RAENGE ... 133 8-3-4 EFFECT OF INITIAL CONDITIONS 136 8.3-5
COMMENT 136 8.4 DYNAMIC BEHAVIOUR 137 8.4-1 QUALITATIVE ANALYSIS 138
8.4-2 EFFECT OF PARAMETERS ON LOOP DYNAMICS 142 8.4-3 QUANTITATIVE
ANALYSIS. FAST CAPTURE 145 8.5 TRACKING RAENGE 148 8.5-1 LOCAL TRACKING
LIMITS 149 8.5-2 GLOBAL TRACKING LIMITS 150 8.6 HOLD-IN AND CAPTURE
RANGES 152 8.7 EFFECT OF NOISE AND DISTURBANCES 154 8.8 DESIGN CRITERIA
156 8.9 CONCLUSIONS 159 REFERENCES 159 PART IV. SECOND ORDER TYPE-II PLL
161 9. INTRODUCTION TO SECOND ORDER TYPE-II PLL 163 9.1 REPRESENTATION
OF THE SECOND ORDER TYPE-II PLL 164 9.1-1 EXACT EQUATIONS 164 9.1-2
AVERAGED EQUATIONS 166 9.2 PRELIMINARY INVESTIGATION 168 9.3 CONCLUSIONS
172 REFERENCES 172 XIV CONTENTS 10. MAIN SYNCHRONIZATION 173 10.1 LOCAL
STABILITY OF THE UNSATURATED LOOP 173 10.1-1 EQUILIBRIUM POINTS 174
10.1-2 LOCAL STABILITY CONDITIONS 175 10.1-3 HOLD-IN RAENGE 177 10.1-4
EFFECT OF PARAMETERS ON HOLD-IN RAENGE 178 10.2 DYNAMIC BEHAVIOUR OF THE
UNSATURATED LOOP 186 10.2-1 QUALITATIVE ANALYSIS 186 10.2-2 QUANTITATIVE
ANALYSIS 189 10.3 TRACKING RAENGE 192 10.4 CONCLUSIONS 198 REFERENCES 198
11. THIRD HARMONIC SYNCHRONIZATION 199 11.1 GLOBAL STABILITY 199 11.2
CONCLUSIONS 202 PART V. THIRD ORDER TYPE-II PLL 203 12. INTRODUCTION TO
THIRD ORDER TYPE-II PLL 205 12.1 ABOUT THE FILTERS USED IN THE THIRD
ORDER LOOPS . . . . 205 12.2 REPRESENTATION OF THE THIRD ORDER TYPE-II
PLL . . . . 207 12.1-1 EXACT EQUATIONS 207 12.1-2 AVERAGED EQUATIONS 209
REFERENCES 211 13. MAIN SYNCHRONIZATION 213 13.1 LOCAL STABILITY OF THE
UNSATURATED LOOP 213 13.1-1 EQUILIBRIUM POINTS 214 13.1-2 LOCAL
STABILITY CONDITIONS 216 13.2 HOLD-IN RAENGE 218 13.2-1 EFFECT OF LOOP
PARAMETERS ON HOLD-IN RAENGE... 219 13.3 TRACKING RAENGE 224 13.4 DYNAMIC
BEHAVIOUR 226 13.5 CONCLUSIONS 229 14. THIRD HARMONIC SYNCHRONIZATION
231 14.1 GLOBAL STABILITY 231 CONTENTS XV PART VI. APPENDICES 237 I.
FIRST ORDER PLL. AVERAGED EQUATIONS 239 II. FIRST ORDER PLL. EQUILIBRIUM
POINTS OF THE MAIN SYNCHRONIZATION RAENGE 243 III. SECOND ORDER TYPE-I
PLL. AVERAGED EQUATIONS 247 IV. SECOND ORDER TYPE-I PLL. STATE EQUATION
OF THE LOW-PASS FILTER FOR THE CAPTURE RAENGE CALCULATION 253 V. SECOND
ORDER TYPE-I PLL. EFFECT OF INITIAL CONDITION ON CAPTURE RAENGE 255 VI.
SECOND ORDER TYPE-II PLL. AVERAGED EQUATIONS 257 VII. THIRD ORDER
TYPE-II PLL. AVERAGED EQUATIONS 263 VIII. RESONANT VOLTAGE CONTROLLED
OSCILLATOR 269 IX. VECTOR PHASE DETECTOR 273 X. EXPERIMENTAL
VERIFICATION 275 INDEX 283
|
| adam_txt |
NIKOLAOS I. MARGARIS THEORY OF THE NON-LINEAR ANALOG PHASE LOCKED LOOP
WITH 134FIGURES SPRINGER CONTENTS PART I. PRELIMINARIES 1 1.
INTRODUCTION 4 1.1 PLL STRUCTURE 4 1.2 PLLS CLASSIFICATION 5 1.3 THE
WEAKPOINTS OF THE CLASSICAL PLLTHEORY 6 1.4 SCOPE AND METHODOLOGY 7
REFERENCES 10 2. PLL COMPONENTS 13 2.1 PLL STRUCTURE 13 2.2 VOLTAGE
CONTROLLED OSCILLATOR 13 2.2-1 VCO REPRESENTATION 14 2.2-2
TRANSFORMATION OF THE VCO EQUATION 16 2.2-3 AVERAGED VCO EQUATIONS 19
2.3 PHASE DETECTOR 21 2.4 LOW-PASS FILTER 23 2.4-1 PHASE LEAD-LAG FILTER
23 2.4-2 PI CONTROLLER 25 2.5 CONCLUSIONS 27 REFERENCES 28 PART IL FIRST
ORDER PLL 31 3. INTRODUCTION TO FIRST ORDER PLL 33 3.1 REPRESENTATION OF
THE FIRST ORDER LOOP. GENERAL FORM. . 33 3.2 PHYSICAL INTERPRETATION OF
THE PLL MECHANISM 36 3.2-1 MAIN SYNCHRONIZATION 36 3.2-2 THIRD HARMONIC
SYNCHRONIZATION 38 3.3 REPRESENTATION OF THE FIRST ORDER PLL. SPECIFIC
FORM . 38 3.4 PRELIMINARY INVESTIGATION 40 XII CONTENTS 3.5 CONCLUSIONS
42 REFERENCES 43 4. MAIN SYNCHRONIZATION 45 4.1 LOCAL STABILITY 45 4.1-1
EQUILIBRIUM POINTS 45 4.1-2 EFFECT OF PARAMETERS ON EQUILIBRIUM POINTS
. 47 4.1-3 COMMENT 51 4.1-4 LOCAL STABILITY CONDITIONS 51 4.2 HOLD-IN
RAENGE 53 4.3 TRACKING RAENGE 57 4.4 GLOBAL DYNAMIC BEHAVIOUR 63 4.4-1
TRANSFORMATION OF THE AVERAGED EQUATIONS . . 63 4.4-2 CAPTURE
PHENOMENON 64 4.4-3 DETUNING 72 4.5 CONCLUSIONS 74 REFERENCES 74 5.
THIRD HARMONIC SYNCHRONIZATION 75 5.1 LOCAL STABILITY 75 5.1-1
EQUILIBRIUM POINTS 76 5.1-2 EFFECT OF PARAMETERS ON EQUILIBRIUM POINTS
. 77 5.1-3 LOCAL STABILITY CONDITIONS 78 5.2 HOLD-IN RAENGE 80 5.3
TRACKING RAENGE 81 5.4 GLOBAL DYNAMIC BEHAVIOUR 83 5.4-1 TRANSFORMATION
OF AVERAGED EQUATIONS 83 5.4-2 CAPTURE PHENOMENON 83 5.4-3 DETUNING 84
5.5 CONCLUSIONS 85 PART III. SECOND ORDER TYPE-I PLL 87 6. INTRODUCTION
TO SECOND ORDER TYPE-I PLL 89 6.1 REPRESENTATION OF THE SECOND ORDER
TYPE-II PLL . . . . 90 6.1-1 EXACT EQUATIONS 91 6.1-2 AVERAGED EQUATIONS
92 6.2 PRELIMINARY INVESTIGATION 94 REFERENCES 99 CONTENTS XIII 7. THIRD
HARMONIC SYNCHRONIZATION 10 1 7.1 LOCAL STABILITY 101 7.1-1 EQUILIBRIUM
POINTS 102 7.1-2 LOCAL STABILITY CONDITIONS 102 7.1-3 HOLD-IN RAENGE 104
7.2 GLOBAL STABILITY 105 7.3 CONCLUSIONS 111 8. MAIN SYNCHRONIZATION 113
8.1 LOCAL STABILITY 113 8.1-1 EQUILIBRIUM POINTS 113 8.1-2 LOCAL
STABILITY CONDITIONS 116 8.2 HOLD-IN RAENGE 118 8.2-1 EFFECT OF
PARAMETERS ON HOLD-IN RAENGE 118 8.3 GLOBAL STABILITY 123 8.3-1 SLOW
CAPTURE 123 8.3-2 MEAN CAPTURE RAENGE 127 8.3-3 EFFECT OF PARAMETERS ON
MEAN CAPTURE RAENGE . 133 8-3-4 EFFECT OF INITIAL CONDITIONS 136 8.3-5
COMMENT 136 8.4 DYNAMIC BEHAVIOUR 137 8.4-1 QUALITATIVE ANALYSIS 138
8.4-2 EFFECT OF PARAMETERS ON LOOP DYNAMICS 142 8.4-3 QUANTITATIVE
ANALYSIS. FAST CAPTURE 145 8.5 TRACKING RAENGE 148 8.5-1 LOCAL TRACKING
LIMITS 149 8.5-2 GLOBAL TRACKING LIMITS 150 8.6 HOLD-IN AND CAPTURE
RANGES 152 8.7 EFFECT OF NOISE AND DISTURBANCES 154 8.8 DESIGN CRITERIA
156 8.9 CONCLUSIONS 159 REFERENCES 159 PART IV. SECOND ORDER TYPE-II PLL
161 9. INTRODUCTION TO SECOND ORDER TYPE-II PLL 163 9.1 REPRESENTATION
OF THE SECOND ORDER TYPE-II PLL 164 9.1-1 EXACT EQUATIONS 164 9.1-2
AVERAGED EQUATIONS 166 9.2 PRELIMINARY INVESTIGATION 168 9.3 CONCLUSIONS
172 REFERENCES 172 XIV CONTENTS 10. MAIN SYNCHRONIZATION 173 10.1 LOCAL
STABILITY OF THE UNSATURATED LOOP 173 10.1-1 EQUILIBRIUM POINTS 174
10.1-2 LOCAL STABILITY CONDITIONS 175 10.1-3 HOLD-IN RAENGE 177 10.1-4
EFFECT OF PARAMETERS ON HOLD-IN RAENGE 178 10.2 DYNAMIC BEHAVIOUR OF THE
UNSATURATED LOOP 186 10.2-1 QUALITATIVE ANALYSIS 186 10.2-2 QUANTITATIVE
ANALYSIS 189 10.3 TRACKING RAENGE 192 10.4 CONCLUSIONS 198 REFERENCES 198
11. THIRD HARMONIC SYNCHRONIZATION 199 11.1 GLOBAL STABILITY 199 11.2
CONCLUSIONS 202 PART V. THIRD ORDER TYPE-II PLL 203 12. INTRODUCTION TO
THIRD ORDER TYPE-II PLL 205 12.1 ABOUT THE FILTERS USED IN THE THIRD
ORDER LOOPS . . . . 205 12.2 REPRESENTATION OF THE THIRD ORDER TYPE-II
PLL . . . . 207 12.1-1 EXACT EQUATIONS 207 12.1-2 AVERAGED EQUATIONS 209
REFERENCES 211 13. MAIN SYNCHRONIZATION 213 13.1 LOCAL STABILITY OF THE
UNSATURATED LOOP 213 13.1-1 EQUILIBRIUM POINTS 214 13.1-2 LOCAL
STABILITY CONDITIONS 216 13.2 HOLD-IN RAENGE 218 13.2-1 EFFECT OF LOOP
PARAMETERS ON HOLD-IN RAENGE. 219 13.3 TRACKING RAENGE 224 13.4 DYNAMIC
BEHAVIOUR 226 13.5 CONCLUSIONS 229 14. THIRD HARMONIC SYNCHRONIZATION
231 14.1 GLOBAL STABILITY 231 CONTENTS XV PART VI. APPENDICES 237 I.
FIRST ORDER PLL. AVERAGED EQUATIONS 239 II. FIRST ORDER PLL. EQUILIBRIUM
POINTS OF THE MAIN SYNCHRONIZATION RAENGE 243 III. SECOND ORDER TYPE-I
PLL. AVERAGED EQUATIONS 247 IV. SECOND ORDER TYPE-I PLL. STATE EQUATION
OF THE LOW-PASS FILTER FOR THE CAPTURE RAENGE CALCULATION 253 V. SECOND
ORDER TYPE-I PLL. EFFECT OF INITIAL CONDITION ON CAPTURE RAENGE 255 VI.
SECOND ORDER TYPE-II PLL. AVERAGED EQUATIONS 257 VII. THIRD ORDER
TYPE-II PLL. AVERAGED EQUATIONS 263 VIII. RESONANT VOLTAGE CONTROLLED
OSCILLATOR 269 IX. VECTOR PHASE DETECTOR 273 X. EXPERIMENTAL
VERIFICATION 275 INDEX 283 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T16:16:24Z |
| indexdate | 2024-07-09T20:50:59Z |
| institution | BVB |
| isbn | 3540213392 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015339175 |
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| physical | XV, 285 S. graph. Darst. |
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| publisher | Springer |
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| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Margaris, Nikolaos I. Verfasser aut Theory of the non-linear analog phase locked loop Nikolaos I. Margaris Berlin [u.a.] Springer 2004 XV, 285 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 304 Phasenregelkreis - Analoges System - Nichtlineare Dynamik - Harmonischer Oszillator - Parametrischer Oszillator - Phasensynchronisierung Nonlinear theories Phase-locked loops Phasenregelkreis (DE-588)4174166-3 gnd rswk-swf Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Nichtlineare Dynamik (DE-588)4126141-0 s DE-604 Phasenregelkreis (DE-588)4174166-3 s Lecture notes in control and information sciences 304 (DE-604)BV005848579 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015339175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Margaris, Nikolaos I. Theory of the non-linear analog phase locked loop Lecture notes in control and information sciences Phasenregelkreis - Analoges System - Nichtlineare Dynamik - Harmonischer Oszillator - Parametrischer Oszillator - Phasensynchronisierung Nonlinear theories Phase-locked loops Phasenregelkreis (DE-588)4174166-3 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
| subject_GND | (DE-588)4174166-3 (DE-588)4126141-0 |
| title | Theory of the non-linear analog phase locked loop |
| title_auth | Theory of the non-linear analog phase locked loop |
| title_exact_search | Theory of the non-linear analog phase locked loop |
| title_exact_search_txtP | Theory of the non-linear analog phase locked loop |
| title_full | Theory of the non-linear analog phase locked loop Nikolaos I. Margaris |
| title_fullStr | Theory of the non-linear analog phase locked loop Nikolaos I. Margaris |
| title_full_unstemmed | Theory of the non-linear analog phase locked loop Nikolaos I. Margaris |
| title_short | Theory of the non-linear analog phase locked loop |
| title_sort | theory of the non linear analog phase locked loop |
| topic | Phasenregelkreis - Analoges System - Nichtlineare Dynamik - Harmonischer Oszillator - Parametrischer Oszillator - Phasensynchronisierung Nonlinear theories Phase-locked loops Phasenregelkreis (DE-588)4174166-3 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
| topic_facet | Phasenregelkreis - Analoges System - Nichtlineare Dynamik - Harmonischer Oszillator - Parametrischer Oszillator - Phasensynchronisierung Nonlinear theories Phase-locked loops Phasenregelkreis Nichtlineare Dynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015339175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT margarisnikolaosi theoryofthenonlinearanalogphaselockedloop |