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Radix-16 Booth流水线乘法器的设计

Design of Radix16 Booth Pipeline Multiplier

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【作者】 梁峰邵志标梁晋

【Author】 Liang Feng~1,Shao Zhibiao~1,Liang Jin~2(1.School of Electronics and Information Engineering, Xi′an Jiaotong University,Xi′an 710049,China;2.School of Mechanical Engineering, Xi′an Jiaotong University,Xi′an 710049,China)

【机构】 西安交通大学电子与信息工程学院西安交通大学机械工程学院 710049西安710049西安

【摘要】 设计了一种新颖的32×32位高速流水线乘法器结构.该结构所采用的新型Radix-16 Booth算法吸取了冗余Booth编码与改进Booth编码的优点,能简单、快速地产生复杂倍数.设计完成的乘法器只产生9个部分积,有效降低了部分积压缩阵列的规模与延时.通过对5级流水线关键路径中压缩阵列和64位超前进位(CLA)加法器的优化设计,减少了乘法器的延时和面积.经现场可编程逻辑器件仿真验证表明,与采用Radix-8 Booth算法的乘法器相比,该乘法器速度提高了11%,硬件资源减少了3%.

【Abstract】 A novel 32×32-b high-speed pipeline multiplier structure is designed.Taking advantages of the merits of redundant Booth encoding and modified Booth encoding,the novel Radix16 Booth algorithm of the structure can simply and quickly generate complicated multiples.The designed multiplier has only 9 partial products,which effectively reduces the size and delay of compression array.By optimizing the compression array and the 64-b CLA(carry-lookahead) adder in the critical path of pipeline,this multiplier can effectively reduce the delay and area,too.The field programmable gate array(FPGA) simulation shows that compared to the multiplier with Radix8 Booth algorithm,the speed of this multiplier is increased by 11% and its hardware resource is reduced by 3%.

【关键词】 乘法器Booth算法流水线压缩阵列
【Key words】 multiplierBooth algorithmpipelinecompression array
  • 【文献出处】 西安交通大学学报 ,Journal of Xi’an Jiaotong University , 编辑部邮箱 ,2006年10期
  • 【分类号】TP332.22
  • 【被引频次】19
  • 【下载频次】713
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