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IEICE Transactions on Information and Systems 2007 E90-D(3):621-626; doi:10.1093/ietisy/e90-d.3.621
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Copyright © 2007 The Institute of Electronics, Information and Communication Engineers

Regular Section -- Papers -- Computer Components

Adaptive Error Compensation for Low Error Fixed-Width Squarers*

Kyung-Ju CHO1 and Jin-Gyun CHUNG1

1 The authors are with the Dept. of Electronics & Information Engr., Chonbuk National University, Jeonju, Korea. E-mail: kjcho{at}chonbuk.ac.kr, jgchung{at}chonbuk.ac.kr


  Abstract

In this paper, we present a design method for fixed-width squarer that receives an n-bit input and produces an n-bit squared product. To efficiently compensate for the truncation error, modified Booth-folding encoder signals are used for the generation of error compensation bias. The truncated bits are divided into two groups (major and minor) depending upon their effects on the truncation error. Then, different error compensation methods are applied to each group. By simulations, it is shown that the proposed fixed-width squarers have lower error than other fixed-width squarers and are cost-effective.

Key Words: fixed-width, squarer, Booth-folding, truncation error, error compensation

Manuscript received February 22, 2006. Manuscript revised September 5, 2006.

* This research was supported by the MIC (Ministry of Information and Communication), Korea, under the ITRC (Information Technology Research Center) support program supervised by the IITA (Institute of Information Technology Assessment) (IITA-2006-C1090-0603-0024).


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