A lower error antilogarithmic converter using novel four-region piecewise-linear approximation

In this paper, a novel antilogarithmic converter using four-region piecewise-linear approximation is proposed. The proposed technique provides a lower error and area-efficient hardware implementation for antilogarithmic converter with 0.5681% of percent error range, which can outperform previously proposed methods with four-region and six-region schemes. The delay and area of the hardware implementation is 10ns and 6,639 μm2, respectively using 0.18 μm TSMC process.

[1]  Hoi-Jun Yoo,et al.  A 231-MHz, 2.18-mW 32-bit Logarithmic Arithmetic Unit for Fixed-Point 3-D Graphics System , 2005, IEEE Journal of Solid-State Circuits.

[2]  Tso-Bing Juang,et al.  A Lower Error and ROM-Free Logarithmic Converter for Digital Signal Processing Applications , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[3]  Khalid H. Abed,et al.  CMOS VLSI Implementation of a Low-Power Logarithmic Converter , 2003, IEEE Trans. Computers.

[4]  Yu Zhang,et al.  A new decimal antilogarithmic converter , 2009, 2009 IEEE International Symposium on Circuits and Systems.

[5]  Khalid H. Abed,et al.  VLSI Implementation of a Low-Power Antilogarithmic Converter , 2003, IEEE Trans. Computers.

[6]  Sunil P. Khatri,et al.  A Fast Hardware Approach for Approximate, Efficient Logarithm and Antilogarithm Computations , 2009, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[7]  John N. Mitchell,et al.  Computer Multiplication and Division Using Binary Logarithms , 1962, IRE Trans. Electron. Comput..

[8]  ERNEST L. HALL,et al.  Generation of Products and Quotients Using Approximate Binary Logarithms for Digital Filtering Applications , 1970, IEEE Transactions on Computers.