Modeling of failure probability and statistical design of SRAM array for yield enhancement in nanoscaled CMOS

In this paper, we have analyzed and modeled failure probabilities (access-time failure, read/write failure, and hold failure) of synchronous random-access memory (SRAM) cells due to process-parameter variations. A method to predict the yield of a memory chip based on the cell-failure probability is proposed. A methodology to statistically design the SRAM cell and the memory organization is proposed using the failure-probability and the yield-prediction models. The developed design strategy statistically sizes different transistors of the SRAM cell and optimizes the number of redundant columns to be used in the SRAM array, to minimize the failure probability of a memory chip under area and leakage constraints. The developed method can be used in an early stage of a design cycle to enhance memory yield in nanometer regime.

[1]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[2]  A. Chen Redundancy in LSI memory array , 1969 .

[3]  S. E. Schuster Multiple word/bit line redundancy for semiconductor memories , 1978 .

[4]  C. H. Stapper,et al.  Yield Model for Productivity Optimization of VLSI Memory Chips with Redundancy and Partially Good Product , 1980, IBM J. Res. Dev..

[5]  John Day A Fault-Driven, Comprehensive Redundancy Algorithm , 1985, IEEE Design & Test of Computers.

[6]  Fabrizio Lombardi,et al.  New approaches for the repairs of memories with redundancy by row/column deletion for yield enhancement , 1990, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  D. Burnett,et al.  Implications of fundamental threshold voltage variations for high-density SRAM and logic circuits , 1994, Proceedings of 1994 VLSI Technology Symposium.

[8]  O. Nelles,et al.  An Introduction to Optimization , 1996, IEEE Antennas and Propagation Magazine.

[9]  Vivek De,et al.  Intrinsic MOSFET parameter fluctuations due to random dopant placement , 1997, IEEE Trans. Very Large Scale Integr. Syst..

[10]  Yixin Chen,et al.  Constrained genetic algorithms and their applications in nonlinear constrained optimization , 2000, Proceedings 12th IEEE Internationals Conference on Tools with Artificial Intelligence. ICTAI 2000.

[11]  Sani R. Nassif,et al.  Modeling and analysis of manufacturing variations , 2001, Proceedings of the IEEE 2001 Custom Integrated Circuits Conference (Cat. No.01CH37169).

[12]  William J. Bowhill,et al.  Design of High-Performance Microprocessor Circuits , 2001 .

[13]  J. Meindl,et al.  The impact of intrinsic device fluctuations on CMOS SRAM cell stability , 2001, IEEE J. Solid State Circuits.

[14]  Athanasios Papoulis,et al.  Probability, random variables, and stochastic processes , 2002 .

[15]  Kaushik Roy,et al.  Accurate estimation of total leakage current in scaled CMOS logic circuits based on compact current modeling , 2003, Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451).

[16]  Chandu Visweswariah,et al.  Death, taxes and failing chips , 2003, Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451).

[17]  Kaushik Roy,et al.  A single-Vt low-leakage gated-ground cache for deep submicron , 2003, IEEE J. Solid State Circuits.

[18]  Jin-Fu Li,et al.  Built-in redundancy analysis for memory yield improvement , 2003, IEEE Trans. Reliab..

[19]  James Tschanz,et al.  Parameter variations and impact on circuits and microarchitecture , 2003, Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451).

[20]  Terence B. Hook,et al.  Ultralow-power SRAM technology , 2003, IBM J. Res. Dev..

[21]  Jan M. Rabaey,et al.  SRAM leakage suppression by minimizing standby supply voltage , 2004, International Symposium on Signals, Circuits and Systems. Proceedings, SCS 2003. (Cat. No.03EX720).

[22]  Statistical design and optimization of SRAM cell for yield enhancement , 2004, IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004..

[23]  K. Roy,et al.  Modeling and estimation of failure probability due to parameter variations in nano-scale SRAMs for yield enhancement , 2004, 2004 Symposium on VLSI Circuits. Digest of Technical Papers (IEEE Cat. No.04CH37525).

[24]  Kaushik Roy,et al.  Statistical design and optimization of SRAM cell for yield enhancement , 2004, ICCAD 2004.