IC interconnect analysis / Mustafa Celik, Lawrence Pileggi, Altan Odabasioglu.

Format:

Book

Author/Creator:

Celik, Mustafa, 1966-

Contributor:

Pileggi, Lawrence, 1962-

Odabasioglu, Altan, 1973-

Language:

English

Subjects (All):

Interconnects (Integrated circuit technology)--Computer simulation.

Interconnects (Integrated circuit technology).

Computer simulation.

Integrated circuits--Ultra large scale integration--Computer simulation.

Integrated circuits.

Integrated circuits--Ultra large scale integration.

Physical Description:

vii, 310 pages : illustrations ; 25 cm

Place of Publication:

Boston : Kluwer Academic Publishers, [2002]

Contents:

1.1 Interconnect Trends 1

1.2 Interconnect Models 6

1.3 Interconnect Analysis Via Moments 12

1.4 Interconnect Metrics 13

1.5 Moment Matching and Model Order Reduction 17

2 The Elmore Delay 25

2.1 Delay of a Transfer Function 25

2.2 RC Interconnect Delay 31

2.3 The Elmore Delay 33

2.4 Moments 39

2.5 Extending Elmore's Distribution Theory Analogy 44

2.6 The Elmore Delay as a Bound 46

2.7 The Elmore Delay for General Input Signals 49

2.8 The Elmore Delay as a Bound for Phase Delay In RC Trees 54

3 Higher-Order RC(L) Delay Metrics 67

3.1 Gamma Distribution Model 67

3.2 h-gamma: Gamma Fitting of Homogeneous Response 73

3.3 Double Exponential Impulse Response Distribution 80

3.4 Closed Form RC Delay Metrics 94

3.5 Noise Metrics 95

3.6 RLC Interconnect 100

3.7 Signal Attenuation and Phase Delay in RLC Trees 105

4 Asymptotic Waveform Evaluation 119

4.1 State Equations and Circuit-Response Functions 119

4.2 Moments 121

4.3 Moment Matching 126

4.4 Practical Considerations 129

4.5 Pade Approximation 132

4.6 Moment-Matching Issues 137

4.7 Multi-point AWE Methods 149

5 Moment Generation 153

5.1 Calculating Moments in Tree-Like Circuits 153

5.2 Calculating Moments Using MNA 170

5.3 Calculating Moments in Transmission Line Circuits 177

6 Passive Reduced-Order Multiport Models 181

6.1 Multiport Modeling 181

6.2 Macromodeling Using AWE 189

6.3 Krylov Subspaces 191

6.4 Projection Methods for Order Reduction 194

6.5 Stability and Passivity 202

6.6 PRIMA 204

6.8 Special Cases in Multiport Modeling 228

6.A Appendix

Proofs of the Lemmas 234

6.B Appendix

Error Estimation in PRIMA 236

7 Interfacing with SPICE 243

7.1 Multiport Interconnect Models 243

7.2 Post Processing of the PRIMA Models 245

7.3 State-Space Realization from Poles and Residues 251

7.4 Synthesis of State-Space Realizations 256

7.5 Recursive Convolution 258

8 Interfacing Interconnect and Gate-Delay Models 271

8.1 Logic Stage Delay Calculation 271

8.2 Gate Characterization 272

8.3 Effective Capacitance Concept 275

8.4 Two-Step Delay Approximation 276

8.5 Thevenin Delay Modeling 277

8.6 Thevenin Delay Model Computation Details 282

8.7 Gate Models for General RLC Loading 289

8.8 Interconnect Coupling 292.

Notes:

Includes bibliographical references and index.

ISBN:

1402070756

OCLC:

49649388