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A Polynomial Time Optimal Diode Insertion/Routing Algorithm for Fixing Antenna Problem

机译:解决天线问题的多项式时间最优二极管插入/路由算法

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Antenna problem is a phenomenon of plasma induced gateoxide degradation. It directly affects manufacturability of VLSIcircuits, especially in deep-submicron technology using high density plasma. Diode insertion is a very effective way to solve thisproblem. Ideally diodes are inserted directly under the wires thatviolate antenna rules. But in today's high-density VLSI layouts,there is simply not enough room for iounder-the-wirel. diode insertion for all wires. Thus it is necessary to insert many diodesat legal ieoff-wirel- locations and extend the antenna-rule violating wires to connect to their respective diodes. Previously onlysimple heuristic algorithms were available for this diode insertionand routing problem. In this paper, we show that the diode insertion and routing problem for an arbitrary given number of routinglayers can be optimally solved in polynomial time. Our algorithmguarantees to find a feasible diode insertion and routing solutionwhenever one exists. Moreover, we can guarantee tofind a feasible solution to minimize a cost function of the form lphacdot L + etacdot Nwhere cdot L is the total length of extension wires andcdot N is the total number of vias on the extension wires. Experimental results showthat our algorithm is very efficient.
机译:天线问题是等离子体引起的栅氧化降解的现象。它直接影响VLSI电路的可制造性,尤其是在使用高密度等离子体的深亚微米技术中。二极管插入是解决此问题的一种非常有效的方法。理想情况下,将二极管直接插入违反天线规则的电线下。但是在当今的高密度VLSI布局中,根本没有足够的空间容纳无线网络。所有导线的二极管插入。因此,有必要在合法的即离线位置插入许多二极管,并延伸违反天线规则的导线以连接到它们各自的二极管。以前,只有简单的启发式算法可用于此二极管的插入和布线问题。在本文中,我们表明可以在多项式时间内最佳解决任意给定数目的布线层的二极管插入和布线问题。我们的算法可保证找到可行的二极管插入和布线解决方案。此外,我们可以保证找到一种可行的解决方案,以最小化形式为\ alpha \ cdot L + \ beta \ cdot N的成本函数,其中\ cdot L是延伸线的总长度,\ cdot N是引线上的通孔总数。延长线。实验结果表明,该算法是非常有效的。

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