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Power Grid Analysis in VLSI Designs - SERC

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1.1.1 <strong>Power</strong> EstimationOne of the challenges <strong>in</strong> <strong>Power</strong> Integrity analysis is to predict accurate power dissipation – bothaverage as well as peak - of design. <strong>Power</strong> Estimation is required for package thermal analysis,power m<strong>in</strong>imization, and <strong>Power</strong> <strong>Grid</strong> design.The earliest proposed techniques of estimat<strong>in</strong>g power dissipation were strongly patterndependentcircuit simulation based e.g. SPICE or fast SPICE simulators [3-6]. Besides be<strong>in</strong>gstrongly pattern-dependent, these techniques are too slow to be used on modern very largescale<strong>in</strong>tegrated (<strong>VLSI</strong>) circuits for which high power dissipation is a major problem.In order to improve computational efficiency, other simulation-based techniques were proposedus<strong>in</strong>g various k<strong>in</strong>ds of tim<strong>in</strong>g, switch-level, and logic simulation [7-9]. In these approaches,lookup tables are obta<strong>in</strong>ed by electrical simulation of the basic library elements, and thecollected data are then used dur<strong>in</strong>g gate level simulation. These techniques generally assumethat the power supply and ground voltages are fixed, and only the supply current waveform isestimated. While they are <strong>in</strong>deed more efficient than traditional circuit simulation at the cost ofsome loss <strong>in</strong> accuracy, they rema<strong>in</strong> strongly pattern-dependent and they are still slow formodern multi-million gate designs where whole chip can not be simulated together.In order to overcome the shortcom<strong>in</strong>gs of simulation-based techniques, research has beenfocused on probabilistic and statistical techniques for toggle estimation. The use ofprobabilities to estimate power was first proposed <strong>in</strong> [11]. In this work, a zero-delay model wasmade so that the transition probabilities could be estimated us<strong>in</strong>g signal probabilities. Aprobabilistic power estimation approach that does compute the toggle power and does not makethe zero-delay or temporal <strong>in</strong>dependence assumptions, called probabilistic simulation was16

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