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  • 學位論文

新型平方器的設計與實現

New Design and Implementation of a Digital Squarer

指導教授 : 趙燿庚

摘要


平方器電路被廣泛的應用於無線通訊系統與電子偵測設備。本篇論文,以一種新的平方演算法為基礎,設計且實現全新的數位平方器。全新的平方器不僅擁有更快的運算速度,而且節省了晶片使用面積。為了驗證平方器的性能,我們使用Altera的FPGA平台和Verilog實現平方器,並模擬其速度。與現有的Booth演算法平方器比較,新的平方器依據不同輸入的位元數可以更快10~20%以上的速度。

並列摘要


Square circuit (or squarer) is widely used in wireless communication systems and electronic measurement equipments. In this thesis, based on a novel square algorithm, a new all-digital squarer is designed and implemented. The new squarer not only has a faster operation speed and but also saves the chip area. To validate the performance of the squarer, the Altera FPGA platform and Verilog are used to realize the squarer and simulate its speed. Compared to existing squarer based on Booth algorithm, the new squarer can achieve as much as a 10% ~20% higher speed depending on the total bits used to represent the input.

並列關鍵字

exclusive OR squarer Booth algorithm Wallace tree speed

參考文獻


[9] James E. Stine, “Digtal Computer Arithmetic Datapath Desing. ”
[2] J.Fadavi-Ardekani, “M x N Booth Encoded Multiplier Generator Using Optimized Wallace Trees,”IEEE Trans. On VLSI Systems,Vol. 1, NO. 2, June 1993.
[3] C. C. Wang,P. M. Lee,C. J. Hung,“Improved design of CPL 3-2 mpressors with less transistor count,”Proceedings of The ISCAS 2000 Geneva,May 2000,pp. 61-64.
[6] Antonio G.M. Strollo,Davide De Caro, “Booth Folding for High Performance Squarer Circuits, ”IEEE Trans. On Circuits and Systems,Vol. 50,No. 5,MAY 2003.
[7] D.De Caro and A.G.M. Strollo, “Parallel squarer using Booth encoding Technique,” Electronics Letters, Vol. 37,pp. 346-347, March 2001.

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