Efficient transient noise analysis in circuit simulation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos-Verl.
2008
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| Subjects: | |
| Online Access: | Beschreibung für Leser Inhaltsverzeichnis |
| Physical Description: | X, 149 S. graph. Darst. 21 cm |
| ISBN: | 9783832519544 |
Staff View
MARC
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Record in the Search Index
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| adam_text |
GESCANNT DURCH CONTENTS 1. INTRODUCTION 1 2. MODELLING NOISE IN
INTEGRATED CIRCUITS 5 2.1. FROM DETERMINISTIC TO NOISY SYSTEMS 6 2.1.1.
THE MODIFIED NODAL ANALYSIS 6 2.1.2. THE INDEX OF THE MNA EQUATIONS 11
2.1.3. NOISE MODELS 13 2.1.4. A NOISY MNA SYSTEM 15 2.2. APPLICATIONS 18
2.2.1. A NOISY MOSFET INVERTER 19 2.2.2. A NOISY MOSFET RING OSCILLATOR
21 2.2.3. A VOLTAGE CONTROLLED OSCILLATOR 23 2.2.4. A NONLINEAR TEST-SDB
25 3. LTD CALCULUS, SDES AND MEAN-SQUARE CONVERGENT NUMERICAL METHODS 27
3.1. ITOE CALCULUS AND STOCHASTIC DIFFERENTIAL EQUATIONS 28 3.2.
NUMERICAL METHODS 33 4. MEAN-SQUARE CONVERGENCE OF MULTI-STEP METHODS
WITH VARIABLE STEP- SIZES 37 4.1. STOCHASTIC LINEAR VARIABLE STEP-SIZE
MULTI-STEP METHODS 38 4.2. MEAN-SQUARE CONVERGENCE 40 4.3. NUMERICAL
STABILITY IN THE MEAN-SQUARE SENSE 40 4.4. MEAN-SQUARE CONSISTENCY 43
4.4.1. ANALYSIS OF THE LOCAL ERROR 44 4.4.2. TWO-STEP MARUYAMA SCHEMES
FOR GENERAL SDES 45 4.4.3. TWO-STEP MARUYAMA SCHEMES FOR SMALL NOISE
SDES 50 4.5. NUMERICAL EXPERIMENTS 55 4.6. PROOF OF THEOREM 4.3.2 57 5.
LOCAL ERROR ESTIMATION AND MEAN-SQUARE STEP-SIZE CONTROL 65 5.1. LOCAL
ERROR ESTIMATES 66 5.1.1. STRUCTURE OF THE LOCAL ERROR 67 5.1.2.
ESTIMATION OF THE DOMINANT ERROR TERM VIA DEFECT EVALUATION . 69
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989242609 DIGITALISIERT
DURCH BIBLIOGRAPHY 141 5.1.3. LOCAL ERROR ESTIMATE AS A WEIGHTED SUM OF
DRIFT-VALUES 74 5.2. MEAN-SQUARE STEP-SIZE CONTROL 79 5.2.1. STEP-SIZE
CONTROL ALGORITHM 79 5.2.2. REMARK ON THE INITIALISATION 82 5.2.3.
REMARK ON STEP REJECTIONS 83 5.2.4. REMARK ON THE RANDOM NUMBERS 83 5.3.
NUMERICAL EXPERIMENTS 84 5.3.1. THE NONLINEAR TEST-SDE 84 5.3.2. THE
MOSFET INVERTER CIRCUIT 86 6. DISCRETISATION SCHEMES FOR INDEX-1 SDAES
WITH SMALL NOISE 89 6.1. ANALYSIS OF INDEX-1 SDAES 90 6.2. LINEAR
TWO-STEP MARUYAMA SCHEMES FOR SDAES 94 6.2.1. REMARK ON SDAES WITH
DIRECT NOISE 99 6.3. LOCAL ERROR ESTIMATION 101 6.3.1. REMARK ON THE
NOISY MNA SYSTEM 104 6.4. STEP-SIZE CONTROL ALGORITHM 105 6.4.1. REMARK
ON IMPLEMENTATIONS IN TITAN 106 6.5. NUMERICAL EXPERIMENTS 107 6.5.1.
THE MOSFET RING OSCILLATOR 107 6.5.2. THE VOLTAGE CONTROLLED OSCILLATOR
ILL 7. SIMULTANEOUS STEP-SIZE AND PATH CONTROL 113 7.1. THE PROBLEM 114
7.2. THE SAMPLING ERROR AND THE NUMBER OF PATHS 117 7.2.1. SAMPLING
ERROR ESTIMATION 117 7.2.2. EFFICIENT CHOICE OF THE NUMBER OF PATHS 120
7.3. A SOLUTION PATHS TREE ALGORITHM 121 7.3.1. NOTATION 122 7.3.2. PATH
TREE GENERATION 123 7.4. NUMERICAL EXPERIMENTS 128 7.4.1. THE NONLINEAR
TEST-SDE 130 7.4.2. THE MOSFET INVERTER CIRCUIT 131 8. CONCLUSIONS 135
A. BASIC NOTATIONS AND CONVENTIONS 139 |
| any_adam_object | 1 |
| author | Sickenberger, Thorsten 1978- |
| author_GND | (DE-588)131721569 |
| author_facet | Sickenberger, Thorsten 1978- |
| author_role | aut |
| author_sort | Sickenberger, Thorsten 1978- |
| author_variant | t s ts |
| building | Verbundindex |
| bvnumber | BV023804737 |
| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)265729658 (DE-599)BVBBV023804737 |
| dewey-full | 621.3950151922 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3950151922 |
| dewey-search | 621.3950151922 |
| dewey-sort | 3621.3950151922 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Thesis Book |
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| id | DE-604.BV023804737 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T10:10:04Z |
| institution | BVB |
| isbn | 9783832519544 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017446913 |
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| physical | X, 149 S. graph. Darst. 21 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Logos-Verl. |
| record_format | marc |
| spelling | Sickenberger, Thorsten 1978- Verfasser (DE-588)131721569 aut Efficient transient noise analysis in circuit simulation von Thorsten R. Sickenberger Berlin Logos-Verl. 2008 X, 149 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Berlin, Humboldt-Univ., Diss., 2008 Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Adaptive Schrittweite (DE-588)4311119-1 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Rauscheigenschaft (DE-588)4177091-2 gnd rswk-swf Elektronische Schaltung (DE-588)4113419-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elektronische Schaltung (DE-588)4113419-9 s Simulation (DE-588)4055072-2 s Rauscheigenschaft (DE-588)4177091-2 s Adaptive Schrittweite (DE-588)4311119-1 s Stochastische Differentialgleichung (DE-588)4057621-8 s Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s DE-604 http://deposit.dnb.de/cgi-bin/dokserv?id=3126527&prov=M&dok_var=1&dok_ext=htm Beschreibung für Leser DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017446913&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sickenberger, Thorsten 1978- Efficient transient noise analysis in circuit simulation Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Adaptive Schrittweite (DE-588)4311119-1 gnd Simulation (DE-588)4055072-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd Rauscheigenschaft (DE-588)4177091-2 gnd Elektronische Schaltung (DE-588)4113419-9 gnd |
| subject_GND | (DE-588)4229517-8 (DE-588)4311119-1 (DE-588)4055072-2 (DE-588)4057621-8 (DE-588)4177091-2 (DE-588)4113419-9 (DE-588)4113937-9 |
| title | Efficient transient noise analysis in circuit simulation |
| title_auth | Efficient transient noise analysis in circuit simulation |
| title_exact_search | Efficient transient noise analysis in circuit simulation |
| title_full | Efficient transient noise analysis in circuit simulation von Thorsten R. Sickenberger |
| title_fullStr | Efficient transient noise analysis in circuit simulation von Thorsten R. Sickenberger |
| title_full_unstemmed | Efficient transient noise analysis in circuit simulation von Thorsten R. Sickenberger |
| title_short | Efficient transient noise analysis in circuit simulation |
| title_sort | efficient transient noise analysis in circuit simulation |
| topic | Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Adaptive Schrittweite (DE-588)4311119-1 gnd Simulation (DE-588)4055072-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd Rauscheigenschaft (DE-588)4177091-2 gnd Elektronische Schaltung (DE-588)4113419-9 gnd |
| topic_facet | Differential-algebraisches Gleichungssystem Adaptive Schrittweite Simulation Stochastische Differentialgleichung Rauscheigenschaft Elektronische Schaltung Hochschulschrift |
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