Delay Analysis on-chip VLSI Interconnect using Gamma Distribution Function
ثبت نشده
چکیده
Moments of the impulse response are widely used for interconnect delay analysis, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans-impedance and transfer function approximations. However, the Elmore delay is fast becoming ineffective for deep submicron technologies, and reduced order transfer function delays are impractical for use as early-phase design metrics or as design optimization cost functions. This paper describes an approach for fitting moments of the impulse response to probability density functions so that delay can be estimated accurately at an early physical design stage. For RC trees it is demonstrated that the incomplete gamma function provides a provably stable approximation. The accuracy of our model is justified with the results compared with that of SPICE simulations.
منابع مشابه
Closed Form Expressions for Delay to Ramp Inputs for On-Chip VLSI RC Interconnect
In high speed digital integrated circuits, interconnects delay can be significant and should be included for accurate analysis. Delay analysis for interconnect has been done widely by using moments of the impulse response, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans impedance and transfer func...
متن کاملA Model for Slew Evaluation for On-Chip RC Interconnects using Gamma Distribution Function
As technology scales down, timing verification of digital integrated circuits becomes an extremely difficult task due to statistical variations in the gate and wire delays. Statistical timing analysis techniques are being developed to tackle this problem. The variations of critical dimensions in modern VLSI technologies lead to variability in interconnect performance that must be fully accounte...
متن کاملDelay Analysis on-chip VLSI Interconnect using Gamma Distribution Function
Moments of the impulse response are widely used for interconnect delay analysis, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans-impedance and transfer function approximations. However, the Elmore delay is fast becoming ineffective for deep submicron technologies, and reduced order transfer functi...
متن کاملANALYTICAL MODELING OF DELAY AND SLEW FOR On-Chip VLSI RC GLOBAL INTERCONNECT USING THREE CIRCUIT MOMENTS
In high speed digital integrated circuits, interconnects delay can be significant and should be included for accurate analysis. Delay analysis for interconnect has been done widely by using moments of the impulse response, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans impedance and transfer func...
متن کاملAn Explicit Model of Delay and Slew Metric for On-Chip VLSI RC Interconnects for Ramp Inputs using Gamma Distribution Function
Moments of the impulse response are widely used for interconnect delay analysis, from the explicit Elmore delay (the first moment of the impulse response) expression, to moment matching methods which creates reduced order trans-impedance and transfer function approximations. However, the Elmore delay is fast becoming ineffective for deep submicron technologies, and reduced order transfer functi...
متن کامل