Minimization of Exclusive Sums of Multi-Valued Complex Terms for Logic Cell Arrays
نویسندگان
چکیده
| The paper proposes a new layout-driven multi-level logic factorization methodology for regular arrays of two-input cells, that can nd practical applications in ne-grain FPGA design, standard cell, gate matrix layout and sub-micron technologies. A new factorization algorithm for AND/OR/EXOR logic with multi-valued literals is introduced, that has application to minimization of Logic Cell Arrays, and improves on previous results 1, 2]. It is shown that an extended cube representation and eecient minimization rules can be used, that generalize the ESOP minimization approach from 3]. Results of program MINICT demonstrate big area savings for several functions.
منابع مشابه
EXORCISM-MV-2: Minimization of Exclusive Sum of Products Expressions for Multiple-Valued Input Incompletely Specified Functions
A new cube operation, exorlink, is presented, as well as its application to the minimization of multiple-valued input, multi-output Exclusive Sums Of Products (ESOPs) for incompletely specified Boolean functions. Exorlink generalizes all cube operations such as crosslink. unlink or X-merge introduced by Helliwell, Perkowski, Sasao and other authors. Our program, EXORCISM-MV-2, gives efficient r...
متن کاملFast Heuristic Minimization of Exclusive-Sums-of-Products
Exclusive-Sums-Of-Products (ESOPs) play an important role in logic synthesis and design-for-test. This paper presents an improved version of the heuristic ESOP minimization procedure proposed in [1,2]. The improvements concern three aspects of the procedure: (1) computation of the starting ESOP cover; (2) increase of the search space for solutions by applying a larger set of cube transformation...
متن کاملAnalytical D’Alembert Series Solution for Multi-Layered One-Dimensional Elastic Wave Propagation with the Use of General Dirichlet Series
A general initial-boundary value problem of one-dimensional transient wave propagation in a multi-layered elastic medium due to arbitrary boundary or interface excitations (either prescribed tractions or displacements) is considered. Laplace transformation technique is utilised and the Laplace transform inversion is facilitated via an unconventional method, where the expansion of complex-valued...
متن کاملAOXMIN-MV: A Heuristic Algorithm for AND-OR-XOR Minimization
Three-level logic is shown to have a potential for reduction of the area over twolevel implementations, as well as for a gain in speed over multi-level implementations. In this paper we present an heuristic algorithm, AOXMIN-MV, targeting a three-level logic expression which is an XOR of two sum-of-products. For some practical functions, such an AND-OR-XOR expression may have up to 27 times les...
متن کاملMulti-valued fixed point theorems in complex valued $b$-metric spaces
The aim of this paper is to establish and prove some results on common fixed point for a pair of multi-valued mappings in complex valued $b$-metric spaces. Our results generalize and extend a few results in the literature.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998