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Power Grid Analysis in VLSI Designs - SERC

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• Degradation <strong>in</strong> switch<strong>in</strong>g speeds• Reduction <strong>in</strong> Noise Marg<strong>in</strong> and Driv<strong>in</strong>g Capability of the gatesAccord<strong>in</strong>g to a study on Pentium®4 [26], power supply noise can reduce clock frequency by6.5% on 130 nm node and can reduce clock frequency by 8% on 90 nm node. All these arehandled through various marg<strong>in</strong>s <strong>in</strong> design flow as there are no efficient solutions available toaddress dynamic V drop problem <strong>in</strong> design flow.There is some work done to estimate peak power as well as decoupl<strong>in</strong>g capacitor <strong>in</strong> this regard.In [27], a pattern-<strong>in</strong>dependent, l<strong>in</strong>ear time algorithm is described that estimates the maximumcurrent waveforms at various contact po<strong>in</strong>ts <strong>in</strong> the circuit. The algorithm is first demonstratedfor simple gate delay and current models. The expression for model<strong>in</strong>g the delays and currentwaveforms for a general gate is derived and the way to extend the algorithm under moregeneral models is also described. The authors improved the work <strong>in</strong> [28]. In [29] measures ofpeak power are proposed <strong>in</strong> the context of sequential circuits, and a procedure is presented toobta<strong>in</strong> lower bounds on these measures, as well as provid<strong>in</strong>g the actual <strong>in</strong>put vectors that atta<strong>in</strong>such bounds. Automatic generation of a functional vector loop for near-worst case powerconsumption is atta<strong>in</strong>ed.Paper [30] presents a statistical method for estimat<strong>in</strong>g the peakpower dissipation <strong>in</strong> <strong>VLSI</strong> circuits. The method is based on the theory of extreme orderstatistics and its application to the probabilistic distributions of the cycle-by-cycle powerconsumption, the maximum-likelihood estimation, and the Monte-Carlo simulation. It can beused to predict the maximum power of a <strong>VLSI</strong> circuit <strong>in</strong> the set of constra<strong>in</strong>ed <strong>in</strong>put vectorpairs as well as the complete set of all possible <strong>in</strong>put vector pairs. The simulation-based natureof the method avoids the limitations of a gate-level delay model and a gate-level circuitstructure. Also, the method produces maximum power estimates to satisfy user-specified error19

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