This work introduces and investigates a highly efficient eye diagram model,called the periodic eye diagram(PED),for assessing the performance of ultra-broadband transmission lines from the perspective of signal integr...This work introduces and investigates a highly efficient eye diagram model,called the periodic eye diagram(PED),for assessing the performance of ultra-broadband transmission lines from the perspective of signal integrity.The PED model is based on the theory of periodic sequence,a novel approach for representing the propagation of time-periodic electromagnetic(EM)waves.Leveraging the parallel nature of EM periodic sequences,the full-wave response of high-speed channels can be rapidly obtained using one-batch multiprocessing.The computational scale remains small due to the inherent frequency-independent property of periodic sequences.Consequently,the PED and its corresponding eye parameters can be derived with both high speed and accuracy.This proposed method holds significant potential for enhancing the analysis and design of emerging ultra-broadband transmission lines with matched loads and manageable discontinuity.展开更多
Time-periodic form or expression is commonly observed in both natural and man-made phenomena across a wide range of scientific and engineering disciplines.In this article,we propose the theory of periodic sequence(TPS...Time-periodic form or expression is commonly observed in both natural and man-made phenomena across a wide range of scientific and engineering disciplines.In this article,we propose the theory of periodic sequence(TPS),marking the first effort to mathematically formalize Maxwell’s equations in the discrete transform domain(corresponding to time domain)and to legitimize the application of the discrete Fourier transform to the temporal aspect of Maxwell’s equation.TPS is intended to serve as a comprehensive theory to depict the physical behavior of electromagnetic(EM)periodic sequential fields and waves.Within the TPS framework,periodic-sequential Maxwell’s curl equations are decomposed and decoupled to independent and paralleled instances via designated mappings.The fundamental solutions of EM periodic sequential excitation are elucidated and corroborated by radio-frequency(RF)/microwave measurements.This involves potential applications in the analysis of broadband RF transmission and the design of high-speed RF devices.展开更多
In this paper, a constrained genetic algorithm (CGA) is proposed to solve the single machine total weighted tardiness problem. The proposed CGA incorporates dominance rules for the problem under consideration into the...In this paper, a constrained genetic algorithm (CGA) is proposed to solve the single machine total weighted tardiness problem. The proposed CGA incorporates dominance rules for the problem under consideration into the GA operators. This incorporation should enable the proposed CGA to obtain close to optimal solutions with much less deviation and much less computational effort than the conventional GA (UGA). Several experiments were performed to compare the quality of solutions obtained by the three versions of both the CGA and the UGA with the results obtained by a dynamic programming approach. The computational results showed that the CGA was better than the UGA in both quality of solutions obtained and the CPU time needed to obtain the close to optimal solutions. The three versions of the CGA reduced the percentage deviation by 15.6%, 61.95%, and 25% respectively and obtained close to optimal solutions with 59% lower CPU time than what the three versions of the UGA demanded. The CGA performed better than the UGA in terms of quality of solutions and computational effort when the population size and the number of generations are smaller.展开更多
文摘This work introduces and investigates a highly efficient eye diagram model,called the periodic eye diagram(PED),for assessing the performance of ultra-broadband transmission lines from the perspective of signal integrity.The PED model is based on the theory of periodic sequence,a novel approach for representing the propagation of time-periodic electromagnetic(EM)waves.Leveraging the parallel nature of EM periodic sequences,the full-wave response of high-speed channels can be rapidly obtained using one-batch multiprocessing.The computational scale remains small due to the inherent frequency-independent property of periodic sequences.Consequently,the PED and its corresponding eye parameters can be derived with both high speed and accuracy.This proposed method holds significant potential for enhancing the analysis and design of emerging ultra-broadband transmission lines with matched loads and manageable discontinuity.
文摘Time-periodic form or expression is commonly observed in both natural and man-made phenomena across a wide range of scientific and engineering disciplines.In this article,we propose the theory of periodic sequence(TPS),marking the first effort to mathematically formalize Maxwell’s equations in the discrete transform domain(corresponding to time domain)and to legitimize the application of the discrete Fourier transform to the temporal aspect of Maxwell’s equation.TPS is intended to serve as a comprehensive theory to depict the physical behavior of electromagnetic(EM)periodic sequential fields and waves.Within the TPS framework,periodic-sequential Maxwell’s curl equations are decomposed and decoupled to independent and paralleled instances via designated mappings.The fundamental solutions of EM periodic sequential excitation are elucidated and corroborated by radio-frequency(RF)/microwave measurements.This involves potential applications in the analysis of broadband RF transmission and the design of high-speed RF devices.
文摘In this paper, a constrained genetic algorithm (CGA) is proposed to solve the single machine total weighted tardiness problem. The proposed CGA incorporates dominance rules for the problem under consideration into the GA operators. This incorporation should enable the proposed CGA to obtain close to optimal solutions with much less deviation and much less computational effort than the conventional GA (UGA). Several experiments were performed to compare the quality of solutions obtained by the three versions of both the CGA and the UGA with the results obtained by a dynamic programming approach. The computational results showed that the CGA was better than the UGA in both quality of solutions obtained and the CPU time needed to obtain the close to optimal solutions. The three versions of the CGA reduced the percentage deviation by 15.6%, 61.95%, and 25% respectively and obtained close to optimal solutions with 59% lower CPU time than what the three versions of the UGA demanded. The CGA performed better than the UGA in terms of quality of solutions and computational effort when the population size and the number of generations are smaller.
