Paper Info
Title
Function approximation on decimal operands
Abstract
CORDIC is a well-known method to approximate mathematical functions. It basically works as an iterative algorithm for approximating rotation of a two-dimensional vector using only shift and add operations. The method has been widely applied in the design of digital signal processors and in the computation of typical signal processing functions. It was specifically developed to process data expressed in radix-2. On the other hand, decimal computation has been gaining renewed interest over the last few years, and high performance decimal computation systems are being required on different scopes. In this paper, an improved CORDIC-based method so as to approximate functions on decimal operands is proposed. The algorithm will work with BCD operands, so no conversion to/from radix-2 is needed. An important reduction in the number of iterations in comparison to other CORDIC methods is achieved. The new algorithm is implemented on an FPGA so as to obtain results on delay and hardware resources. The experiments showing the advantages of the new method, with regard to both delay and precision, are described.
Year
DOI
Venue
2011
10.1016/j.dsp.2010.06.013
Digital Signal Processing
Keywords
Field
DocType
well-known method,decimal computation,bcd operands,decimal operands,new algorithm,decimal arithmetic,function approximation,cordic method,improved cordic-based method,cordic,new method,iterative algorithm,high performance decimal computation,signal processing,digital signal processor,arithmetic function
Signal processing,Function approximation,Iterative method,Operand,Arithmetic,CORDIC,Decimal floating point,Decimal,Mathematics,Computation
Journal
Volume
Issue
ISSN
21
2
Digital Signal Processing
Citations 
PageRank 
References 
1
0.37
21
Authors
4
Name
Order
Citations
PageRank
Jose Luis Sánchez-Romero1357.57
Higinio Mora-Mora2414.45
Jerónimo Mora Pascual3557.95
Antonio Jimeno-morenilla44711.14