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VLSI Design
Volume 2014 (2014), Article ID 451310, 9 pages
Research Article

Improved Quantization Error Compensation Method for Fixed-Width Booth Multipliers

School of Electronics and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China

Received 13 September 2013; Accepted 22 December 2013; Published 6 February 2014

Academic Editor: M. Renovell

Copyright © 2014 Xiaolong Ma et al. 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.


A novel quantization error (QE) compensation method is proposed in design of high accuracy fixed-width radix-4 Booth multipliers, which will effectively reduce the QE and save the area of multipliers when they are employed in cognitive radio (CR) detector and digital signal processor (DSP). The truncated partial-products of the proposed multipliers are finely divided into three sections: reserved section, adaptive compensation section, and constant compensation section. The QE compensation carries of the multipliers are generated by applying probability estimation based on a shrunken minor truncated section which is a combination of the constant compensation and adaptive compensation. The proposed compensation method not only reduces the QE of the fixed-width Booth multipliers, but also avoids the exhaustive computing resources (time and memory) during getting the compensation carries by statistical simulation. The proposed method can achieve higher accuracy than the existing works under the same area and power budgets. Simulation and experiment results show that the improved compensation method has the minimum power-delay products compared with the existing methods under the same area and can save up to 30% area for realization of full-width radix-4 Booth multipliers.