High accuracy binary logarithmic conversion using range mapping for DSP applications

Author

Low, Joshua Yung Lih ; Jong, Ching Chuen

Author_Institution

Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore

fYear

2010

fDate

6-9 Dec. 2010

Firstpage

332

Lastpage

335

Abstract

This paper presents a high accuracy Mitchell-based logarithmic conversion algorithm suitable for integrated circuit implementation. A novel technique named range mapping is proposed to compress the range of approximation to one-quarter of that of the Mitchell´s fraction, m. A 3-region piecewise linear approximation is then applied on the compressed range. Simulation results show that the proposed algorithm achieves both low absolute error and percentage error of 0.0037999 and 0.064002% respectively.

Keywords

digital signal processing chips; piecewise linear techniques; DSP applications; Mitchell-based logarithmic conversion algorithm; binary logarithmic conversion; integrated circuit implementation; piecewise linear approximation; range mapping; Accuracy; Approximation algorithms; Digital signal processing; Linear approximation; Piecewise linear approximation; Signal processing algorithms; ASIC for DSP; Binary logarithm; Logarithmic number system (LNS); Mitchell algorithm; Range mapping;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems (APCCAS), 2010 IEEE Asia Pacific Conference on

Conference_Location

Kuala Lumpur

Print_ISBN

978-1-4244-7454-7

Type

conf

DOI

10.1109/APCCAS.2010.5774862

Filename

5774862