We describe an optimization strategy for minimizing total power consumption using dual threshold voltage (Vth) technology. Significant power savings are possible by simultaneous assignment of Vth with gate sizing. We propose an efficient algorithm based on linear programming that jointly performs Vth assignment and gate sizing to minimize total power under delay constraints. First, linear programming assigns the optimal amounts of slack to gates based on power-delay sensitivity. Then, an optimal gate configuration, in terms of Vth and transistor sizes, is selected by an exhaustive local search. Benchmark results for the algorithm show 32% reduction in power consumption on average, compared to sizing only power minimization. There is up to a 57% reduction for some circuits. The flow can be extended to dual supply voltage libraries to yield further power savings.
Most circuit sizing tools calculate the tradeoff between each gate's delay and power or area, and then greedily change the gate with the best tradeoff. We show this is suboptimal. Instead we use a linear program to minimize circuit power. The linear program provides a fast and simultaneous analysis of how each gate affects gates it has a path to. Our approach reduces power by up to 30% compared to commercial software, with a 0.13um library. The runtime for posing and solving the linear program scales linearly with circuit size.
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