CAJ | 학술논문

在余数系统的设计中，模加法器和模乘法器的设计处于核心地位，尤其是模乘法器的性能，是衡量余数系统系能的主要标志之一。文中先推导出Booth编码下的模2 n+1乘法器设计的算法，然后针对Booth编码模乘法器设计中译码电路复杂的问题，提出了一种基于Booth/CSD混合编码的模乘法器设计方法，基于Booth/CSD编码的模乘法器部分积的位宽相对传统的Booth编码乘法器而言，减少了50%；经试验证明，与传统的基-Booth编码的模乘法器相比这种混合编码的模乘法器的速度提高了5%，面积减少24.7%。
재여수계통적설계중，모가법기화모승법기적설계처우핵심지위，우기시모승법기적성능，시형량여수계통계능적주요표지지일。문중선추도출Booth편마하적모2 n+1승법기설계적산법，연후침대Booth편마모승법기설계중역마전로복잡적문제，제출료일충기우Booth/CSD혼합편마적모승법기설계방법，기우Booth/CSD편마적모승법기부분적적위관상대전통적Booth편마승법기이언，감소료50%；경시험증명，여전통적기-Booth편마적모승법기상비저충혼합편마적모승법기적속도제고료5%，면적감소24.7%。
In the design of RNS system the designs of,the modulo multiplier and adder are in a core position,espically the performance of the modulo mulitipliers,which is the main mark of a successfully RNS system. In this paper,we deduce the arithmetic used in the design of the Booth-based modulo multiplier first,and then in order to solve the problem of complex decoding circuit in design,we put forward a new method,in which we bring the efficient CSD enconding technology and radix-booth encoding techniques together, the partial product of Booth/CSD encoding module multiplier has a decrease of fifty percent compared with traditional Booth based module multiplier;the test results demonstrate that,in comparision with the traditional Booth based module multiplier the speed which we take Booth/CSD encoding method has an increase of five percent and the area has a decrease of twenty four point seven.