Multiplier-free structures for exact generation of natural powers of integers

被引:1
作者
Samadi, S [1 ]
Ahmad, MO [1 ]
Swamy, MNS [1 ]
机构
[1] Concordia Univ, Dept Elect & Comp Engn, Montreal, PQ H3G 1M8, Canada
来源
2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年
关键词
D O I
10.1109/ISCAS.2005.1464796
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
It is shown that the sequence of an arbitrary natural power of consecutive integers can be generated without any multiplications as the impulse response of a multirate recursive structure. This multistage structure has a regular configuration consisting of multirate building blocks and accumulators. A nonrecursive structure is also developed for the generation of the power sequence for a prescribed finite length. This feedforward structure consists of layers of summation nodes interconnected in a regular manner. The two types of multiplier-free discrete-time structures generate the exact values of natural kth powers of consecutive integers in a simple, regular and scalable manner.
引用
收藏
页码:1146 / 1149
页数:4
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