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CIRCUIT THEORY AND DESIGN 93 PROCEEDINGS OF THE 11TH EUROPEAN CONFERENCE ON CIRCUIT THEORY AND DESIGN - ECCTD '93 DAVOS, SWITZERLAND, AUGUST 30 - SEPTEMBER 3, I993 PART II edited by HERVE DEDIEU Ecole Polytechnique Federate de Lausanne Departement d'Electricite CIRC Lausanne, Switzerland 1993 ELSEVIER AMSTERDAM LONDON NEW YORK TOKYO

AND DESIGN 93 - GBV · ANDDESIGN93 PROCEEDINGSOFTHE ... Balteanu and G. Kovacs 1305 42.4 Circuit Optimizationwith Dynamically Controlled Transient Analysis

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CIRCUIT THEORY

AND DESIGN 93

PROCEEDINGS OF THE

11TH EUROPEAN CONFERENCE

ON CIRCUIT THEORY AND DESIGN - ECCTD '93

DAVOS, SWITZERLAND,

AUGUST 30 - SEPTEMBER 3, I993

PART II

edited by

HERVE DEDIEU

Ecole Polytechnique Federate de Lausanne

Departement d'Electricite

CIRC

Lausanne, Switzerland

1993

ELSEVIER

AMSTERDAM • LONDON • NEW YORK • TOKYO

CONTENTSxxi

27.2 Chaotic Traffic Flow in Local Area Networks

J. H. B. Deane and D. J. Jejferies and C. Smythe 843

27.3 Design of the Noise Generator Using Chaotic Circuit

K. Suzuki and Yoshifumi Nishio and Shinsaku Mori 849

27.4 A Structural Technique for Chaos Prediction in the General Three-RegionPiecewise-Linear Dynamical SystemRoberto Gene.sio and Wenhao Li and Alberto Tesi 855

27.5 Chaos Shift-Keying: A Technique for Modulation and Demodulation of

Chaotic Carriers

Herve Dedieu and Michael Peter Kennedy and Martin Hasler 861

27.6 Laboratory Environment for Controlling Chaotic Electronic SystemsA. Dqbrowski and Z. Galias and Maciej J. Ogorzalek and L.O. Chua

. . .867

28 New Approaches to Circuit Design 873

28.1 Generalization Topological Formulae for Symbolic or Numeric-Symbolic

Generation of Network Functions

Mihai lordache 873

28.2 A DC Approach for Analog Fault Dictionary Determination

Jerzy Rutkowski 877

28.3 Decomposition Approach to Analog Fault Location

/. Rutkowski 881

28.4 A Framework for the Object-Oriented Design of Signal Processing and

Neural Network Software

X, Nie and R, Unbehauen 885

28.5 An Analog Fuzzy Logic Inference EngineLiliane Peters and S. Guo and R. Camposano 891

28.6 The Digital Transfer Operator and its Application to Signature Determi¬

nation for Built-in Self Test

A. N, Farrall and A. R. Fleming and A. G. Hall and G. E. Taylor . ... 895

29 CMOS Integrated Circuits 901

29.1 A CMOS Voltage-Controlled Floating Resistor

George Wilson and P. K. Chan 901

29.2 Non-Slew Rate Limited CMOS Op-Amp Configurations

Erik Bruun 907

29.3 A CMOS Current Conveyor Based Gyrator

Igor Mucha 911

29.4 Temperature-Drift Compensation of MOS Transconductances

Alessandro Robertini 917

29.5 A New CMOS Current Mirror Circuit with Reduced Distortion for High

Bandwidth ApplicationsR. Balmford and W. Redman- White 923

xxii CONTENTS

30 Switched Capacitance Networks 2 929

30.1 Analysis and Synthesis of Passive Linear Steady-State SC Networks for

Image ProcessingMark N. Seidel 929

30.2 Synthesis of Optimum Switched-Capacitor State-Space Decimators

Paulo J. Santos and Jose E. Franca and Jorge A. Martins 935

30.3 Fast Analysis of Nonideal Switched Capacitor Circuits Using Convolution

Hannu Jokinen and Martti Valtonen and Timo Veijola 941

30.4 High Frequency Switched Capacitor FIR Filters Using Improved Parallel

Cyclic Type Circuits

Yoshinori Hirata and Kyoko Kato and Toshiharu Kikui and Nobuaki Taka-

hashi and Tsuyoshi Takebe 947

30.5 Symbolic Analysis Approach to Settling Time Minimization in SC Net¬

works

A. Handkiewicz and P. Sniatala 953

30.6 Frequency Domain Analysis of Switched Networks by Generalized Transfer

Functions

Dalibor Biolek and Karel Zaplatdek 957

31 Digital Filter Implementations 963

31.1 A Technique for the Improvement of Minimax Optimization Algorithmsand its Application in the Design of Recursive Digital Filters

A. Antoniou 963

31.2 A Fast WLS Algorithm to Design Minimax FIR Filters

Michele L. Marchesi and P. Witzgall 969

31.3 Synthesis of Optimal Nyquist Type Signals Using Parks-McClellan Ap¬proachB. K. Turan and I. C. Goknar 975

31.4 Parallel Structures of OS CFAR Processors

Vera Behar and Christo Kabakchiev 981

31.5 On Low Power Consumption of Digital Filter Implementations

Predrag Vidas and Branko Jeren 985

31.6 Nonlinear Optimization Approach to Filter Design with Real AmplifiersVladimir Cosic and Neven Mijat 991

32 Phase Locked Loops 997

32.1 Two-Phase Lock-In Amplifier with Phase-Locked Loop Vector TrackingBrian M. McDonald and Robert B. Northrop 997

32.2 A Programmable All Digital Phase Locked LoopD. Shin and John K. Pollard 1003

32.3 Current Mode Phase Locked LoopT. Koito and M. Yamamoto 1009

CONTENTS xxiii

32.4 Small-Signal Analysis of Sub- Super- and Supersub-Harmonic Injection-Locked Oscillators Through Secondary Simplification TechniqueEnrico F. Calandra and Antonino M. Sommariva 1015

32.5 Discrete-Time Phase-Locked Loop as a Source of Random Numbers

Mieczyslaw Jessa 1021

33 Signal Processing 1027

33.1 Application of LMS-Order Updating in System Identification and LPC of

SpeechK. A. Mayyass and M. A. Khdsawneh 1027

33.2 A Comparative Study of Two Fixed-Point DSPs Implementing Algorithmsfor Parameter Coding of SpeechNick Tsakalos and Evangelos Zigouris 1033

33.3 On the Computation of the Fast Cosine Transform

C. A. Christopoulos and A. N. Skodras 1037

33.4 Maximum Entropy Algorithm for Spectral Estimation Problem with Gap8Roman Ugrinovsky 1043

33.5 Time-Varying Maximum Entropy Spectral Estimation

A. S, Kayhan 1047

33.6 On Convergence Behavior of Symmetric Weighted Median Filters

Ruikang Yang and Moncef Gabbouj and Yrjo Neuvo 1053

34 Special Session: Fundamental Aspects of Nonlinear Circuits and Sys¬tems 1059

34.1 Equilibrium Points of Mutually Coupled Symmetrical Neural Networks

Norikazu Takahashi and Tetsuo Nishi 1059

34.2 A Polynomial-Time Algorithm for Determining Quadratic Lyapunov Func¬

tions for Nonlinear SystemsLieven Vandenberghe and Stephen Boyd 1065

34.3 Approximate Methods for Solving Nonlinear Dynamic Circuit Equations

Using Differential InequalitiesStanislaw Mitkowski and Maciej J. Ogorzalek 1069

34.4 A New Algorithm Detecting All Branches of Driving-Point Characteristics

in PWL Resistive Circuits

Stefano Pastore and Amedeo Premoli 1075

35 Design Tools for Logical Circuits 1081

35.1 Optimization of Mutiple-Valued Logic Functions

AH Massoud Haidar and Mititada Morisue 1081

35.2 A Circuit Design of 54 x 54 Bit Multiplier Using New 9-2 and 6-2 Com¬

pressors

Minkyu Song and Kihong Noh and Youngserk Shim 1087

XXIVCONTENTS

35.3 An ODE Based Parallel Switch-Level Simulator

Bengt-Arne Molin and Sven Mattisson 1091

35.4 A General Approach to Testability for Digital Networks

A. G. Hall and G. E. Taylor 1097

35.5 The Integral Equation Method (IEM) as a Powerful Tool for Transient

AnalysisM. N. Sabry and M. S. Tawfik and H. Eltahawy and S. Garcia-Sabiro and

J. Besnard 1103

35.6 A Generalized Approach for Merging Nets in Gate-Matrix Layout

Chi-Yu Mao and Yu Hen Hu 1109

36 CMOS and Bipolar Integrated Circuits 1113

36.1 Principles of Compensation of Thermal Power Feedback in RF-Amplifierswith Bipolar Transistors

Eduard Schurack and Alfons Gottwald 1113

36.2 BICMOS High Frequency Linear Bandpass-Based Current-Mode Oscillator

for 3V Supply OperationJaime Ramirez-Angulo and E. Sanchez-Sinencio 1119

36.3 Low Area Accurate CMOS Current Schmitt TriggerGuiseppe Di Cataldo and G. Palmisano and G. Palumbo 1123

36.4 Analog BiCMOS Continuous-Time Delay-Line with Adjustable Delay-TimeAndrea Baschirotto and R. Alini and R. Castello and F, Montecchi ....

1129

36.5 A CMOS Four-Quadrant Analog Multiplier and its Application to Nonlin¬

ear Functions Generation

Fuji Yang and Patrick Loumeau 1135

36.6 A Monolithic High-Speed Bipolar Charge Sensitive Preamplifier for Calorime¬

ters ApplicationsAndrea Baschirotto and M. Bosetti and R. Castello and A. Gola and G,

Pessina and P, Rancoita and M. Rattagi and M. Redaelli and G. Terzi. .

1111

37 Linear Circuits 1147

37.1 Pole-Zero Cancellation and State/Output EquationsS. Atadan 1147

37.2 Waveform Relaxation as a Bounding Algorithm for RC Linear Circuits

Corneliu A. Marinov and Jukka-Pekka Santanen 1153

37.3 Application of LC One-Ports in Phase Load Symmetrization in N-Phase

Systems with Nonsinusoidal Periodical Waveforms

Marian Pasko 1159

37.4 A New Method for Solving Broadband Matching Problems

Graham Rhodes and Herve Dedieu 1165

37.5 Broadband Matching of a Passive Lowpass Load by Automatic Determi¬

nation of the Equal Minima Gain Function

Catherine Dehollain and Herve Dedieu 1171

CONTENTS xxv

38 Special Session: Periodically Switched Networks with Internally Con¬

trolled Switches 1 1177

38.1 Realization of a Switched-Capacitor AC-AC Converter

F. Ueno and T. Inoue and I. Oota and I. Harada 1177

38.2 Novel Type DC-AC Converter Using a Switched Capacitor Transformer

F. Ueno and T. Inoue and I. Oota and I. Harada 1181

38.3 Computer-Aided Analysis of Class E Cyclically Switching Circuits

A. Ioinovici 1185

38.4 Analysis and Modelling of Periodically-Switched Networks by Systematic

Decomposition of Their Circuit GraphsC. K. Tse and Y. S. Lee 1189

39 Electronic Circuits 1193

39.1 Sampling of Sinusoidal Signals for Analog-to-Digital Converter Testing

P. Carbone and D. Petri 1193

39.2 Simulation of Op-Amp Nonlinearities in Switched Capacitor S A Convert¬

ers

Dominique Morche and Freddy Balestro and Patrice Senn 1199

39.3 Realization of a Resonant AC-AC Converter Equipped with a Field-Controlled

ThyristorAdrian Zuckerberger and A. Alexandrovitz 1205

39.4 Even Harmonic Resonant ZVS-Class E Tuned Power Amplifier without RF

Choke

Minoru Iwadare and Shinsaku Mori and Kazunaga Ikeda 1211

39.5 Wide Range Single Resistor Tunable RC Current-Mode Oscillator

Dan Stiurca 1217

39.6 Measurements on an Active Resonant Circuit Using GaAs MESFETs for

Microwave Filter ApplicationsDavid Haigh 1223

40 Special Session: Image Sequence Coding 1229

40.1 A Coding Algorithm for the 3-D Hierarchical Subband Representations of

the Sequences of Images

Laurian Margarit and Radu Zaciu 1229

40.2 Generic Coding of Video Using Packet Wavelets and Adaptive Motion Es¬

timation

Frederic Dufaux and Touradj Ebrahimi and Murat Kunt 1235

40.3 Architectural Analysis of Region-Based Motion Estimation Algorithms for

Image Sequence Coding

F. Charot and C. Labit and P. Lemonnier and H. Nicolas 1241

40.4 Morphological Segmentation-Based Coding of Image Sequences

P. Salembier and L. Torres and M. Pardas and F. Marques and P. Hierro

and A. Gasull1245

xxvi CONTENTS

40.5 Vector Entropy Coding for Waveform Image Compression

B. Macq and P. Delogne 1251

40.6 Noiseless Vector Coding of DCT-Quantized Video Signals: a Modified

Pyramid Vector Coder

R. Sannino 1257

41 Nonlinear Circuits 1 1263

41.1 A Note on Hidden Modes

Liviu Gora§ 1263

41.2 New Analytical Approach for Predicting Nonlinear Performance of Continuous-

Time OTA-C Bandpass Filters

Andrzej Czarniak and Stanislaw Szczepanski 1267

41.3 Comparison of Nonlinear Behavior in Selected CMOS Transconductors Us¬

ing Differential Pairs

Andrzej Czarniak and Stanislaw Szczepanski 1271

41.4 Optimum Design of Nonlinear Microwave Circuits. Application to Fre¬

quency MultipliersM. C. E. Yagoub and H. Baudrand 1275

41.5 An Interval Approach To Finding All Equilibrium Points of Some Nonlinear

Resistive Circuits

Zygmunt Garczarczyk 1281

41.6 Relating Pseudorandom Signal Generators to Chaos in Non-linear DynamicSystems

Anthony C. Davies 1287

i

42 Design Tools 1 1293

42.1 Computer Design and Optimization of Switched-Capacitor Ladder Filters

Using Simple Performance Measures

Arnold Muralt and George S. Moschytz 1293

42.2 Transient Analysis of Circuits Including Frequency-DependentComponents

Using Transgyrator and Convolution

Per Stenius and Pauli Heikkild and Martti Valtonen 1299

42.3 BiCMOS Circuits for an Analog Fuzzy Processor

Ion E. Opris and F. Balteanu and G. Kovacs 1305

42.4 Circuit Optimization with Dynamically Controlled Transient AnalysisDidier Martin and C. Pinatel and H. Wang and A. Konczykowska .... 1311

42.5 Computer Oriented Steady-State Analysis of Frequency Modulated DC-

DC Switching ConvertersTadashx Suestugu and Shinsaku Mori 1317

42.6 Spicepipe - A Case Study of Flexible Circuit OptimizationR, M, Biemacki and John W. Bandler and S. H. Chen and P, A. Grobelny 1323

CONTENTS xxvii

43 Integrated Circuits 1 1329

43.1 Geometrical Synthesis of Inductively Peaked Multistage Wideband Ampli¬fiers

Peter Static 1329

43.2 Reconfigurable Digital Signal ProcessingHomer W. Wong and Neil W. Bergmann 1337

43.3 The Use of a lst-Order IIR Lowpass Filter to Reduce the Length of Sigma-Delta Modulator-Based Analog Adaptive Transversal Filters

Huang Qiuting 1343

43.4 Inherent Harmonic Distortion and Practical Dithering of Second-Order E-

A Modulators

Huang Qiuting and Paul T. Maguire 1349

43.5 Quantiser Gain and the Degrees of Freedom in S-A Modulator Linear

Models

Huang Qiuting and Paul T. Maguire 1355

43.6 New Modeling Method for 1-Bit Delta-Sigma Modulators

Nianxiong Tan and Sven Eriksson 1361

44 Analog and Digital Filters 1367

44.1 Analog Interpolated Finite Impulse Response Filters

Zygmunt Ciota and Andrzej Napieralski and Jean-Louis Noullet 1367

44.2 Current Mode Wave Active Simulation of a Linear Phase LC Filter Usinga Lattice Section

J. Tingleff and C. Toumazou- 1373

44.3 Lattice Structures for Orthogonal Wavelet Packet ImplementationsAndrzej Drygajlo and Benito Carnero 1379

44.4 A High Performance Bit-Serial Lattice Wave Digital Intermediate Fre¬

quency Filter ChipPeter Nilsson and Mats Torkelson and Mark Vesterbacka and Lars Wan-

hammar 1385

44.5 Construction of Low-Pass Ladder Networks with Mixed Lumped and Dis¬

tributed Elements

Ahmet Aksen and Siddik Yarman 1389

44.6 Block Lattice Digital Filters

Y. B. Jang and S. P. Kim 1395

45 Special Session: Periodically Switched Networks with Internally Con¬

trolled Switches 2 14°1

45.1 Amplifier Non-Linearity Effects in Sigma-Delta Modulators

Victor F. Dias and G. Palmisano 1401

45.2 Precise Small Signal Modelling of Current Mode Programmed DC-DC Con¬

verters

J. Kunze I405

xxviii CONTENTS

45.3 Unity Power Factor in ZVS HF Resonant Converter

D. Zadravec and F. Milhalic and M. Milanovic and K. Jezernik and R.

Filipitsch and K. Krischan and M. Rentmeister 1413

45.4 Large Signal Control of a Buck Converter Based on Time Optimal Control

B. Jammes and J.C- Marpinard and L. Martinez 1419

45.5 Lie Algebras Modeling of Bidirectional Switching Converters

L. Martinez and A. Poveda and J. Majo and L. Garcia-de-Vicuna and F.

Guinjoan and J. C. Marpinard and M. Valentin 1425

46 Special Session: Nonlinear Digital Filters 1 1431

46.1 Image Sharpening Using a Polynomial OperatorGiovanni Ramponi and Giovanni L. Sicuranza 1431

46.2 New Types of Adaptive L-Filters

^4fct'ra Taguchi and Hironori Takashima and Yutaka Murata 1437

46.3 Fast Nonlinear Algorithms for Superresolution in Geometric Feature Ex¬

traction

Vasile Buzuloiu and Dinu Colfac , 1441

46.4 Domino Logic for Stack Filter ImplementationOlli Vainio 1447

46.5 Image Restoration by One-Dimensional Adaptive Center Weighted Median

Filters

Tong Sun and Moncef Gabbouj and Yrjo Neuvo 1453

46.6 Image Enhancement Using Coupled Anisotropic Diffusion EquationsE. J. Pauwels and M. Proesmans and L. J. Van Gool and T. Moons and

A. Oosterlinck 1459

47 Special Session: Circuit Theoretic Models and Methods in Signal Pro¬

cessing 1465

47.1 Analog Systems Performing the Karhunen-Loeve Transform

Knut Hiiper 1465

47.2 Learning with Matrix Flows, Implementable on a Network Structure

J, Dehaene and J. Vandewalle 1471

47.3 Solving Partial Differential Equations by CNN

T, Roskaand T. Kozek and D. Wolf and L.O. Chua 1477

47.4 Alternative WDF Method for Numerical Integration of PDEs with Space-Varying Parameters

A. Fettweis 1483

47.5 In-Place Rank Determination by Analog Sorting Networks

Steffen Paul 1485

CONTENTS xix

48 Nonlinear Circuits 2 1491

48.1 DC Analysis of Circuits Containing Idealized Diodes Using Parametric De¬

scriptionMichal Tadeusiewicz 1491

48.2 Extension of the Lienard Theorem to the Asymmetric Case

Tosiro Koga 1497

48.3 Algebraic from Volterra Series of Non-Linear Multi-Port Networks

Torben Larsen 1503

48.4 Systematic Generation of Canonic RC-Active Oscillators Using CCII

Santiago Celma and Alfonso Carlosena and Pedro Martinez 1509

48.5 An Efficient Algorithm for Finding Multiple DC Solutions of a Broad Class

of Piecewise-Linear Electronic Circuits

M. Tadeusiewicz and K. Glowienka 1515

48.6 Step-Response Bounds for a Certain Class of Discrete-Time Systems

Mark N. Seidel and J. L. Wyatt Jr 1521

49 Design Tools 2 1527

49.1 Hierarchical Circuit Representation for Automated Analog IC Design

Krzysztof Wawryn1527

49.2 Design of a CMOS Bias Stage for Low Supply Voltage with a New Method

for Worst-Case Analysis and Design Centering

Claudia Wteser and Helmut Graeb and Kurt Antreich 1531

49.3 RAVI: A New Fast Multi-Layer Area Routing Algorithm for Analog Cell

LayoutN. D. Goharand Peter Y. K. Cheung 1537

49.4 Timing-Driven System Partitioning by Generalized Burkard's Heuristic

Minshine Shih and Ernest S. Kuh 1543

49.5 Fast and Accurate Simulation of Large Lossy Interconnect Networks Using

Circuit Partition and Recursive Convolution

Shen Lin and Ernest S. Kuh1549

49.6 A Network-Based Parallel Matrix Solver with Pipelining Gauss-Seidel Method

Naohiko Shimizu and Shuuji Hayakawa and Mamoru Tanaka 1555

50 Integrated Circuits 2!561

50.1 Complementary Translinear Circuit Techniques Yielding Cascadable Zero

Voltage in Zero Voltage Out Circuits

Luis Magram and Arie F. Arbel1561

50.2 Comparison between the Noise Performance of Current-Mode and Voltage-

Mode PostamplifiersArie F. Arbel

1565

50.3 Conditions for Frequency Insensitivity to Op-Amp Gain-Bandwidth Prod¬

uct in RC Oscillators

A. Borys and R, Wojtyna1569

XXX CONTENTS

50.4 On the Synthesis of Transconductor/Multiplier Functions Using FETs

David G. Haigh and Paul M. Radmore 1573

50.5 GIC-JFET Voltage-Controlled ImpedancesLiviu Goras and Adrian Leuciuc 1579

50.6 An Inverting Transimpedance Amplifier for Current- and Voltage-ModeApplicationsKimmo Koli and Kali Halonen 1583

51 Special Session: Recent Advances in Sigma-Delta Converters 1589

51.1 High-Order 1-Bit Sigma-Delta Converters

Tapani Ritoniemi, 1589

51.2 Low Power Oversampled A/D Converters

0. Nys and E. Dijkstra 1595

51.3 Continuous-Time Implementation of Sigma-Delta Converters for High Fre¬

quency OperationB. Hallgren 1601

51.4 Design Considerations for a Fourth-Order Switched-Capacitor S-A Modu¬

lator

F. Medeiroand B. Perez-Verdu and A. Rodriguez-Vazquez and J. L, Huer-

tas 1607

51.5 E-A Data Converter Architectures with Multibit Internal QuantizersG. Temes and B. Leung . 1613

51.6 A Monolithic ADC for Instrumentation Applications using Sigma-DeltaTechniquesA. Bertland H. Leopold and P. O'Leary and G. Winkler 1619

52 Special Session: Nonlinear Digital Filters 2 1625

52.1 Performance Analysis of Decision Based Directional Edge Detector

Emin Ananm and Haluk Aydmoijlu and I. C. Goknar 1625

52.2 Morpholograms for Abrupt Change Detection in Nonstationary SignalsMohsine Karrakchou 1629

52.3 Signal-Adaptive Maximum Likelihood Filtering of Ultrasonic SpeckleC. Kotropoulos and X. Magnisalis and I. Pitas and M.G. Strintzis

....1635

52.4 Nonlinear Multiresolution Relaxation for AlertingSylvia Gil and Thierry Pun 1639

52.5 Vector Directional Filters for Color Image ProcessingP. E, Trahanias and A. N. Venetsanopoulos 1645

53 Nonlinear Circuits 3 1651

53.1 A New Approach for Calculating the Starting-Up Process of Harmonic

Bipolar Transistor Oscillators

S. Bayer and W. Mathis 1651

CONTENTSXXXI

53.2 A Singular Bifurcation in a Piecewise-Linear Circuit

Naohiko Inaba and Masafumi Ohnishi 1655

53.3 Necessary and Sufficient Conditions for Nonlinear Resistive Circuits Con¬

taining Ideal Diodes to Have a Unique Solution

T. Nishi and Y. Kawane 1661

53.4 On Convex Hulls of polynomialsJifi Gregor 1667

53.5 A New Numerical Method for Steady State Circuit AnalysisAngelo Brambilla and Enrico Dallago and Dario D'Amore 1671

53.6 Optimally Robust Observer Design for Failure Isolation In Nonlinear Un¬

certain SystemsA. Ye. Shumsky 1677

54 Special Session: Symbolic Methods and Applications in Analog Circuit

Design 1681

54.1 Symbolic Method for Circuit Testability and Fault Diagnosis in Time Do¬

main

S. Manetti and M. C. Piccirilli 1681

54.2 A Mixed Symbolic and Numeric Method for Closed-Form Transient Anal¬

ysisBruce A. Alspaugh and Marwan M. Hassoun 1687

54.3 Symbolic Analysis on Parallel ComputersErich Wehrhahn 1693

54.4 Nested Format Symbolic Expression ApproximationF. V. Fernandez and A. Rodriguez-Vazquez and J. D. Martin and J. L.

Huertas 1699

54.5 A Computer-Aided Tool for the Automatic Generation of Design Equations

of Switched Capacitor Circuits

Maria Helena Martins and Jose E. Franca and A. S. Gargao 1705