Abstract
Novel realizations of concurrent computations utilizing three-dimensional lattice networks and their corresponding carbon-based field emission controlled switching is introduced in this article. The formalistic ternary nano-based implementation utilizes recent findings in field emission and nano applications which include carbon-based nanotubes and nanotips for three-valued lattice computing via field-emission methods. The presented work implements multi-valued Galois functions by utilizing concurrent nano-based lattice systems, which use two-to-one controlled switching via carbon-based field emission devices by using nano-apex carbon fibers and carbon nanotubes that were presented in the first part of the article. The introduced computational extension utilizing many-to-one carbon field-emission devices will be further utilized in implementing congestion-free architectures within the third part of the article. The emerging nano-based technologies form important directions in low-power compact-size regular lattice realizations, in which carbon-based devices switch less-costly and more-reliably using much less power than silicon-based devices. Applications include low-power design of VLSI circuits for signal processing and control of autonomous robots.
Highlights
In general VLSI system design, regular interconnects usually lead to cheap implementations and high densities, where higher density implies both higher performance and lower overhead for support components
Regular circuit topologies that involve the realization of functions in three-dimensions can be very important, as it shows that the best way is to synthesize functions in three-dimensions where all regular local interconnects are of the same length and global interconnects are only inputs on parallel oblique planes [2]-[4]
Since more power consumption occurs whenever more global interconnects are used instead of local interconnects in circuit design [35], lattice networks offer a good solution for the problem of the increase in using global interconnects since lattice networks use internally only local interconnects [2]
Summary
In general VLSI system design, regular interconnects usually lead to cheap implementations and high densities, where higher density implies both higher performance and lower overhead for support components. In the second part of the article, the utilization of carbon field emission – based devices that implement one fundamental building block in modern logic synthesis known as the controlled switch [33] is introduced, and the use of the presented carbon field emission-based devices in many-valued computations is shown for the important case of ternary Galois logic. The research findings and implementations in this article are new and original, and are performed for the first time to implement ternary Galois functions using concurrent nano three-dimensional lattice systems that utilize carbon-based field emission devices which are based on field-emission from nano-apex carbon fibers and nanotubes.
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