Ring Oscillator based on Integer Dynamic Programming

Siyuan Cheng, Xiafei Yang, Congrui Bai, Honglei Zhou, Junshuo Ai
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Abstract

As electronic products are updated, chips need to be constantly optimized for design, and the ring oscillator is one of the essential structures. By studying the oscillator area, power consumption and other elements, the best design solution to meet the relevant performance is investigated. It plays a role in promoting the development of chip industry. In this paper, we first model the frequency and area of the ring oscillator to design it. The optimal size is obtained, and then the power consumption is optimized for the design. The relationship between the energy consumption of the ring oscillator and the size and number of inverters is first analyzed by the energy consumption principle, and then an integer programming dynamic model is further developed. Finally, the concept of multiple wafers is introduced to optimize the chip stitching. This allows more ring oscillators to be placed on the last chip position with minimum power consumption. In this paper, the optimization is performed using the Condor algorithm to obtain the optimal design solution in terms of area and power consumption. The results show that the optimal design solution is 3 inverters with 101 nm gate length, 115 nm NMOS gate width, 120 nm PMOS gate width, and 3406018 number of ring oscillators on the last chip. CCS Concepts:Hardware∼ Integrated circuits∼ Semiconductor memory∼ Static memory
基于整数动态规划的环形振荡器
随着电子产品的更新换代,芯片需要不断优化设计,环形振荡器是必不可少的结构之一。通过对振荡器面积、功耗等因素的研究,探讨满足相关性能的最佳设计方案。它对芯片产业的发展起到了促进作用。本文首先对环形振荡器的频率和面积进行建模,并对其进行设计。得到了最优尺寸,并对设计的功耗进行了优化。首先根据能量消耗原理分析了环形振荡器的能量消耗与逆变器的大小和数量之间的关系,然后进一步建立了整数规划动态模型。最后,引入多晶片的概念,优化芯片拼接。这使得更多的环形振荡器以最小的功耗放置在最后的芯片位置。本文采用Condor算法进行优化,得到面积和功耗两方面的最优设计解。结果表明,最优设计方案为3个逆变器,栅极长101 nm, NMOS栅极宽115 nm, PMOS栅极宽120 nm,最后一块芯片上环振数为3406018个。CCS概念:硬件~集成电路~半导体存储器~静态存储器
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