The Area-Time Complexity of Binary Multiplication
Journal of the ACM (JACM)
Introduction to VLSI Systems
STOC '79 Proceedings of the eleventh annual ACM symposium on Theory of computing
A combinatorial limit to the computing power of V.L.S.I. circuits
SFCS '80 Proceedings of the 21st Annual Symposium on Foundations of Computer Science
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A family of VLSI circuits is presented to perform open convolution, i.e., polynomial multiplication. The circuits are all based on a recursive construction and are therefore particularly well adapted to automated design. All the circuits presented are optimal with respect to the area-time2 tradeoff, and, depending on the degree of paralleism or pipeline, they range from a compact but slow convolver to a large but very fast convolver.