Title
Adaptive Low-Error Fixed-Width Booth Multipliers
Abstract
In this paper, we propose two 2's-complement fixed-width Booth multipliers that can generate an n-bit product from an n-bit multiplicand and an n-bit multiplier. Compared with previous designs, our multipliers have smaller truncation error, less area, and smaller time delay in the critical paths. A four-step approach is adopted to search for the best error-compensation bias in designing a multiplier suitable for VLSI implementation. Last but not least, we show the superior capability of our designs by inscribing it in a speech signal processor. Simulation results indicate that this novel design surpasses the previous fixed-width Booth multiplier in the precision of the product. An average error reduction of 65–84% compared with a direct-truncation fixed-width multiplier is achieved by adding only a few logic gates.
Year
DOI
Venue
2007
10.1093/ietfec/e90-a.6.1180
IEICE Transactions
Keywords
Field
DocType
n-bit product,previous fixed-width booth multiplier,average error reduction,n-bit multiplier,fixed-width booth multiplier,smaller truncation error,smaller time delay,adaptive low-error fixed-width booth,direct-truncation fixed-width multiplier,digital signal processing,previous design,vlsi,n-bit multiplicand,logic gate,critical path,truncation error
Truncation error,Digital signal processing,Logic gate,Digital signal processor,Algorithm,Multiplier (economics),Multiplication,Very-large-scale integration,Mathematics,Booth's multiplication algorithm
Journal
Volume
Issue
ISSN
E90-A
6
1745-1337
Citations 
PageRank 
References 
9
0.77
3
Authors
3
Name
Order
Citations
PageRank
Min-An Song1152.44
Lan-Da Van217931.46
Sy-Yen Kuo32304245.46