Hardware-oriented m-D CORDIC-like Algorithms and Their Applications

The most popular device used for a solution of plenty of DSP problems is CORDIC processor for orthogonal transformation of a plane rotation by Volder’s algorithm. This algorithm have been employed in a number of special purpose processor arrays due to efficient realization of various types of linear transformations using simple hardware components. The dimensionality of CORDIC-algorithms is equal to two. This is the major disadvantage. A long sequence of these macro-operations is required for practical problem solving. Taking into account that very fast growth of modern VLSI technology offers a hardware realization of an ever-growing share of mathematical means it seems reasonable to speed up matrix computations by expressing them in terms of higher dimensional transformations. The present book is a short survey of research results which were published by author in this area for resent years.

Evgueni Doukhnitch received MSc., PhD. and D.Sc. from Taganrog Radio-Eng. Univ., Russia. During 1987-1999, he served as Chairman of the Comp. Eng. Dep. of Volgograd Technical Univ., Russia.In 1999-2010, he has been with Comp. Eng. Dep. at Eastern Mediterranean Univ., Cyprus. Now he is a Prof. at the Novorossiysk Maritime Univ., Russia.