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Validation coverage analysis for complex digital designs 复杂数字设计的验证覆盖率分析
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.569537
R. Ho, M. Horowitz
The functional validation of a state-of-the-art digital design is usually performed by simulation of a register-transfer-level model. The degree to which the test vector suite covers the important tests is known as the coverage of the suite. Previous coverage metrics have relied on measures such as the number of simulated cycles or number of toggles on a circuit node, which are indirect metrics at best. This paper proposes a new method of analyzing coverage based on projecting a minimized control finite-state graph onto control signals for the datapath part of the design to yield a meaningful metric and provide detailed feedback about missing tests. The largest hurdle is state-space explosion. We describe two methods of dealing with this in a practical manner and give results of applying this coverage analysis to parts of the node controller of the Stanford FLASH multiprocessor.
最先进的数字设计的功能验证通常通过对寄存器-传输级模型的仿真来执行。测试向量套件覆盖重要测试的程度称为套件的覆盖率。以前的覆盖率指标依赖于模拟周期的数量或电路节点上的开关数量等度量,这些充其量是间接度量。本文提出了一种新的覆盖分析方法,该方法基于将最小化控制有限状态图投影到设计数据路径部分的控制信号上,以产生有意义的度量并提供关于缺失测试的详细反馈。最大的障碍是国家空间爆炸。我们以一种实用的方式描述了处理这种情况的两种方法,并给出了将这种覆盖分析应用于斯坦福FLASH多处理器的部分节点控制器的结果。
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引用次数: 60
Optimization of custom MOS circuits by transistor sizing 通过晶体管尺寸优化定制MOS电路
Pub Date : 1996-11-10 DOI: 10.1007/978-1-4615-0292-0_28
A. Conn, P. Coulman, R. Haring, Gregory L. Morrill, C. Visweswariah
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引用次数: 76
Efficient solution of systems of Boolean equations 布尔方程组的有效解
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.569908
Scott Woods, G. Casinovi
This paper describes an algorithm for the efficient solution of large systems of Boolean equations. The algorithm exploits the fact that, in some cases, the composition operation of Boolean functions represented by BDD's can be performed in a very efficient manner. Thus, the algorithm tries to eliminate as many variables and equations as possible through function composition. When the system can no longer be reduced in this way, the elimination process is continued through the use of Shannon decomposition. Numerical results show that the performance of this algorithm is significantly superior to that of a previous algorithm proposed by the authors.
本文描述了一种求解大型布尔方程组的有效算法。该算法利用了这样一个事实,即在某些情况下,BDD表示的布尔函数的组合操作可以以非常有效的方式执行。因此,该算法试图通过函数组合来消除尽可能多的变量和方程。当系统不能再以这种方式还原时,通过使用香农分解继续消除过程。数值结果表明,该算法的性能明显优于作者先前提出的算法。
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引用次数: 11
Efficient time-domain simulation of frequency-dependent elements 频率相关元素的有效时域仿真
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.569912
S. Kapur, D. Long, J. Roychowdhury
We describe an efficient algorithm for time-domain simulation of elements described by causal impulse responses. The computational bottleneck in the simulation of such elements is the need to compute convolutions at each time point. Hence, direct approaches for the simulation of such elements require time O(N/sup 2/), where N is the length of the simulation. We apply ideas from approximation theory to reduce this complexity to O(N log N) while maintaining double-precision accuracy. The only restriction imposed by our method is that the impulse response h(t) gets "smoother" as t goes to infinity. Essentially all physically reasonable impulse responses have this characteristic. The ideas presented can also be applied to time-domain simulation of elements described in the frequency domain, including those characterized by measured data. In this paper, we demonstrate the efficiency of the algorithm by applying it to the simulation of lossy transmission lines.
我们描述了一种有效的由因果脉冲响应描述的单元时域模拟算法。模拟这些元素的计算瓶颈是需要在每个时间点计算卷积。因此,模拟这些元素的直接方法需要时间O(N/sup 2/),其中N是模拟的长度。我们应用近似理论的思想,在保持双精度精度的同时,将这种复杂性降低到O(N log N)。我们的方法所施加的唯一限制是当t趋于无穷时,脉冲响应h(t)变得“平滑”。基本上所有物理上合理的脉冲响应都有这个特性。所提出的思想也可以应用于在频域中描述的元素的时域模拟,包括那些由测量数据表征的元素。在本文中,我们通过将该算法应用于有损耗传输线的仿真,证明了该算法的有效性。
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引用次数: 16
Clock tree synthesis for multi-chip modules 多芯片模块时钟树合成
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.568939
D. Lehther, S. Sapatnekar
While designing interconnect for MCMs, one must take into consideration the distributed RLC effects, due to which signals may display nonmonotonic behavior and substantial ringing. This paper considers the problem of designing clock trees for MCMs. A fully distributed RLC model is utilized for AWE-based analysis and synthesis, and appropriate measures are taken to ensure adequate signal damping and for buffer insertion to satisfy constraints on the clock signal slew rate. Experimental results, verified by SPICE simulations, show that this method can be used to build clock trees with near-zero skews.
在设计mcm互连时,必须考虑分布式RLC效应,这可能导致信号表现出非单调行为和大量振铃。本文研究了单片机时钟树的设计问题。采用全分布式RLC模型进行基于awe的分析与综合,并采取适当措施保证足够的信号阻尼和缓冲器插入,以满足时钟信号摆率的约束。SPICE仿真验证了该方法的有效性,结果表明该方法可用于构建接近零偏差的时钟树。
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引用次数: 3
Hybrid floorplanning based on partial clustering and module restructuring 基于局部集群和模块重组的混合平面规划
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.569866
T. Yamanouchi, Kazuo Tamakashi, T. Kambe
In this paper, we propose a hybrid floorplanning methodology. Two hierarchical strategies for avoiding local optima during iterative improvement are proposed: (1) Partial Clustering, and (2) Module Restructuring. These strategies work for localizing nets connecting small modules in small regions, and conceal such small modules and their nets during the iterative improvement phase. This method is successful in reducing both area and wire length in addition to reducing the computational time required for optimization. Although our method only searches slicing floorplans, the results are superior to the results obtained even with non-slicing floorplans. We applied our method to the largest MCNC floorplan benchmark example, ami49, and industrial data. For the ami49 benchmark, we obtained results superior to any published results for both estimated area and routing results.
在本文中,我们提出了一种混合地板规划方法。在迭代改进过程中,提出了两种避免局部最优的分层策略:(1)部分聚类和(2)模块重构。这些策略用于定位连接小区域小模块的网络,并在迭代改进阶段隐藏这些小模块及其网络。这种方法除了减少优化所需的计算时间外,还成功地减少了面积和导线长度。虽然我们的方法只搜索切片平面,但结果优于非切片平面。我们将我们的方法应用于最大的MCNC平面图基准示例ami49和工业数据。对于ami49基准测试,我们获得的结果在估计面积和路由结果方面优于任何已发布的结果。
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引用次数: 33
GRASP-A new search algorithm for satisfiability 一种新的满意度搜索算法
Pub Date : 1996-11-10 DOI: 10.1007/978-1-4615-0292-0_7
Joao Marques-Silva, K. Sakallah
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引用次数: 1227
Partitioned ROBDDs-a compact, canonical and efficiently manipulable representation for Boolean functions 分区robds——布尔函数的一种紧凑、规范且可有效操作的表示
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.569909
A. Narayan, J. Jain, M. Fujita, A. Sangiovanni-Vincentelli
We present a new representation for Boolean functions called Partitioned ROBDDs. In this representation we divide the Boolean space into 'k' partitions and represent a function over each partition as a separate ROBDD. We show that partitioned-ROBDDs are canonical and can be efficiently manipulated. Further they can be exponentially more compact than monolithic ROBDDs and even free BDDs. Moreover, at any given time, only one partition needs to be manipulated which further increases the space efficiency. In addition to showing the utility of partitioned-ROBDDs on special classes of functions, we provide automatic techniques for their construction. We show that for large circuits our techniques are more efficient in space as well as time over monolithic ROBDDs. Using these techniques, some complex industrial circuits could be verified for the first time.
我们提出了一种布尔函数的新表示,称为Partitioned robdd。在这种表示中,我们将布尔空间划分为“k”个分区,并将每个分区上的函数表示为一个单独的ROBDD。我们证明了分区的robdd是规范的,可以有效地操纵。此外,它们可以比单片bdd甚至自由bdd更加紧凑。此外,在任何给定的时间,只需要操作一个分区,这进一步提高了空间效率。除了展示分区robdd在特殊函数类上的效用之外,我们还提供了用于构造它们的自动技术。我们表明,对于大型电路,我们的技术在空间和时间上都比单片robdd更有效。利用这些技术,可以首次验证一些复杂的工业电路。
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引用次数: 119
Reduced-order modeling of large passive linear circuits by means of the SyPVL algorithm 基于SyPVL算法的大型无源线性电路降阶建模
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.569707
R. Freund, P. Feldmann
This paper discusses the analysis of large linear electrical networks consisting of passive components, such as resistors, capacitors, inductors, and transformers. Such networks admit a symmetric formulation of their circuit equations. We introduce SyPVL, an efficient and numerically stable algorithm for the computation of reduced-order models of large, linear, passive networks. SyPVL represents the specialization of the more general PVL algorithm, to symmetric problems. Besides the gain in efficiency over PVL, SyPVL also preserves the symmetry of the problem, and, as a consequence, can often guarantee the stability of the resulting reduced-order models. Moreover, these reduced-order models can be synthesized as actual physical circuits, thus facilitating compatibility with existing analysis tools. The application of SyPVL is illustrated with two interconnect-analysis examples.
本文讨论了由电阻、电容、电感和变压器等无源元件组成的大型线性电网的分析。这种网络允许其电路方程的对称形式。我们介绍了一种高效且数值稳定的算法SyPVL,用于计算大型线性无源网络的降阶模型。SyPVL代表了更通用的PVL算法对对称问题的专门化。除了比PVL效率更高之外,SyPVL还保留了问题的对称性,因此,通常可以保证所得到的降阶模型的稳定性。此外,这些降阶模型可以合成为实际的物理电路,从而促进与现有分析工具的兼容性。通过两个互连分析实例说明了SyPVL的应用。
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引用次数: 111
Post global routing crosstalk risk estimation and reduction 后全球路由串扰风险估计与降低
Pub Date : 1996-11-10 DOI: 10.1109/ICCAD.1996.569714
T. Xue, E. Kuh, Dongsheng Wang
Previous approaches for crosstalk synthesis often fail to achieve satisfactory results due to limited routing flexibility. Furthermore, the risk tolerance bounds partitioning problem critical for constrained optimization has not been adequately addressed. This paper presents the first approach for crosstalk risk estimation and reduction at the global (instead of detailed) routing level. It quantitatively defines and estimates the risk of each routing region using a graph-based optimization approach and globally adjusts routes of nets for risk reduction. At the end of the entire optimization process, a risk-free global routing solution is obtained together with partitions of nets' risk tolerance bounds which reflect the crosstalk situation of the chip. The proposed approach has been implemented and tested on CBL/NCSU benchmarks and the experimental results are very promising.
由于路由灵活性有限,以往的串扰合成方法往往不能达到令人满意的结果。此外,对约束优化至关重要的风险容忍度边界划分问题还没有得到充分的解决。本文提出了在全局(而不是详细)路由级别上进行串扰风险估计和降低的第一种方法。它使用基于图的优化方法定量定义和估计每个路由区域的风险,并全局调整网络路线以降低风险。在整个优化过程的最后,得到了一个无风险的全局路由解,并划分了反映芯片串扰情况的网络风险容忍度边界。所提出的方法已经在CBL/NCSU基准上实现和测试,实验结果很有希望。
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引用次数: 70
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Proceedings of International Conference on Computer Aided Design
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