Emerging applications widely use field-programmable gate array(FPGA)prototypes as a tool to verify modern very-large-scale integration(VLSI)circuits,imposing many problems,including routing failure caused by the limited number of connections among blocks of FPGAs therein.Such a shortage of connections can be alleviated through time-division multiplexing(TDM),by which multiple signals sharing an identical routing channel can be transmitted.In this context,the routing quality dominantly decides the performance of such systems,proposing the requirement of minimizing the signal delay between FPGA pairs.This paper proposes algorithms for the routing problem in a multi-FPGA system with TDM support,aiming to minimize the maximum TDM ratio.The algorithm consists of two major stages:(1)A method is proposed to set the weight of an edge according to how many times it is shared by the routing requirements and consequently to compute a set of approximate minimum Steiner trees.(2)A ratio assignment method based on the edge-demand framework is devised for assigning ratios to the edges respecting the TDM ratio constraints.Experiments were conducted against the public benchmarks to evaluate our proposed approach as compared with all published works,and the results manifest that our method achieves a better TDM ratio in comparison.

Peihuang Huang;Longkun Guo;Long Sun;Xiaoyan Zhang

College of Mathematics and Data Science,Minjiang University,Fuzhou 350116,China;School of Mathematics Science,Nanjing Normal University,Nanjing 210024,China;College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China;College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350116,China;School of Mathematics Science and Institute of Mathematics, Nanjing Normal University, Nanjing 210024, China

清华大学学报自然科学版（英文版）

[1]Peihuang Huang;Longkun Guo;Long Sun;Xiaoyan Zhang-.A Two-Stage Method for Routing in Field-Programmable Gate Arrays with Time-Division Multiplexing)[J].清华大学学报自然科学版（英文版）,2022(06):902-911

FPGAs

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