tailieunhanh - Báo cáo hóa học: " Research Article Improving 2D-Log-Number-System Representations by Use of an Optimal Base"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Improving 2D-Log-Number-System Representations by Use of an Optimal Base | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2008 Article ID 710590 13 pages doi 2008 710590 Research Article Improving 2D-Log-Number-System Representations by Use of an Optimal Base Roberto Muscedere Electrical and Computer Engineering Department University of Windsor Windsor ON Canada N9B3P4 Correspondence should be addressed to Roberto Muscedere rmusced@ Received 10 April 2008 Accepted 20 June 2008 Recommended by Ulrich Heute The 2-dimensional logarithmic number system 2DLNS a subset of the multi-DLNS MDLNS which has similar properties to the classical Logarithmic Number System LNS provides more degrees of freedom than the LNS by virtue of having two orthogonal bases and has the ability to use multiple 2DLNS components or digits. The second base in 2DLNS can be adjusted to improve the representation space for particular applications the difficulty is selecting such a base. This paper demonstrates how an optimal second base can considerably reduce the complexity of the system while significantly improving the representation space for application specific designs. The method presented here maps a specific set of numbers into the 2DLNS domain as efficiently as possible a process that can be applied to any application. By moving from a two-bit sign to a one-bit sign the computation time of the optimal base is halved and the critical paths in existing architectures are reduced. Copyright 2008 Roberto Muscedere. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION The 2-dimensional logarithmic number system 2DLNS a subset of the multi-DLNS MDLNS 1 a generalization of the index calculus introduced into the double-base number system DBNS 2 3 uses 2 orthogonal bases of which the first is 2 and has similar properties to the logarithmic .