Analysis and Design of a High Performance Radix-4 Booth Scheme in CMOS Technology
الموضوعات : Majlesi Journal of Telecommunication Devices
1 - Department of Electrical Engineering, Ardabil Branch, Islamic Azad University, Ardabil, Iran.
الکلمات المفتاحية: Partial Product, High-Speed, Parallel multiplier, Low power, Radix-4 Booth Algorithm,
ملخص المقالة :
In this paper, a novel high performance structure has been demonstrated which can be widely used for circuit-level realization of radix-4 Booth scheme. The notable privilege of proposed scheme is its higher speed for generation of Partial Products (PPs) compared to the previous designs. The objective has been achieved by means of the modified truth table of Booth algorithm. Moreover, Pass-Transistor Logic (PTL) has been employed to reduce the middle stage capacitances which has considerably enhanced the operating frequency of the designed architecture. The thorough analysis over previously reported works has also been provided to help the authors for optimized implementation of the Booth circuitry. Simulation results for TSMC 0.18µm CMOS technology and 1.8V power supply using HSPICE indicate the correct operation of the proposed scheme. In addition, the best-reported works have been redesigned and simulated on the same conditions to provide a fair comparative environment with our designed scheme. The results demonstrate the superiority of our circuit over the selected structures.
[1] Adam Osborne, “An Introduction to Microcomputers, Volume 1: Basic Concepts (2nd ed.),” Berkeley, California: Osborne-McGraw Hill, 1980, ISBN 0-931988-34-9.
[2] Ross Basset, “When is a Microprocessor not a Microprocessor? The Industrial Construction of Semiconductor Innovation,” In Finn, Bernard, Exposing Electronics, Michigan State University Press, p. 121, 2003, ISBN 0-87013-658-5.
[3] Jeffrey Shallit, “A Very Brief History of Computer Science,” CS 134, University of Waterloo, summer of 1995.
[4] M. Rafiquzzaman, “Fundamentals of Digital Logic and Microcomputer Design,” John Wiley & Sons, pp 251, 2005, ISBN 9780471733492.
[5] D. Naresh and G. Babu Kande, “High Speed Signed multiplier for Digital Signal Processing Applications,” IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE), Vol. 8, Issue 2, pp. 57-61.
[6] Andrew D. Booth, “A signed binary multiplication technique,” The Quarterly Journal of Mechanics and Applied Mathematics, Volume IV, Pt. 2, 1951.
[7] C. S. Wallace, “A suggestion for a fast multiplier,” IEEE Trans. on Electronic Comp. EC-13(1): 14-17, 1964.
[8] L. Dadda, “Some schemes for parallel multipliers,” Alta Frequenza. 34: 349–356, 1965.
[9] Parhami, Behrooz, “Computer Arithmetic: Algorithms and Hardware Designs,” Oxford University Press, New York, 2000, ISBN 0-19-512583-5.
[10] Shiann-Rong Kuang, Jiun-Ping Wang, and Cang-Yuan Guo, “Modified Booth Multipliers With a Regular Partial Product Array,” IEEE Transactions on Circuits and Systems—II: Express Briefs, Vol. 56, No. 5, pp. 404-408, 2009.
[11] Ravindra P. Rajput, M.N. Shanmukha Swamy, “High speed Modified Booth Encoder multiplier for signed and unsigned numbers,” 14th International Conference on Modelling and Simulation, pp. 649-654, 2012.
[12] A. Fathi, S. Azizian, R. Fathi, H.G. Tamar, “Low latency, glitch-free booth encoder-decoder for high speed multipliers,” IEICE Electronics Express, Vol. 9, No. 16, pp. 1335-1341, 2012.
[13] A. Fathi, S. Azizian, Kh. Hadidi, A. Khoei, “Ultra High Speed Modified Booth Encoding Architecture for High Speed Parallel Accumulations,” IEICE transactions on electronics, Vol. 95, No. 4, pp. 706-709, 2012.
[14] Honglan Jiang, Jie Han, Fei Qiao, and Fabrizio Lombardi, “Approximate Radix-8 Booth Multipliers for Low-Power and High-Performance Operation,” IEEE Transactions on Computers, Vol. 65, No. 8, pp. 2638-2644, Aug 2016.
[15] Saurabh Katariya, and Manish Singhal, “A Hybrid 4-bit Radix-4 Low Power Booth Multiplier With High Performance,” IEEE International Conference on Recent Advances and Innovation in Engineering (ICRAIE -2016), Dec 23-25, 2016.
[16] A N Nagamani, R Nikhil, Manish Nagaraj, and Vinod Kumar Agrawal, “Reversible Radix-4 Booth Multiplier for DSP Applications,” International Conference on Signal Processing and Communications (SPCOM), 2016.
[17] Alberto A. Del Barrio, and Rom´an Hermida, “A Slack-based Approach to Efficiently Deploy Radix 8 Booth Multipliers,” IEEE Design, Automation & Test in Europe Conference & Exhibition (DATE), 2017.
[18] Weiqiang Liu, Liangyu Qian, Chenghua Wang, Honglan Jiang, Jie Han, and Fabrizio Lombardi, “Design of Approximate Radix-4 Booth Multipliers for Error-Tolerant Computing,” IEEE Transactions on Computers, Vol. 66, No. 8, pp. 1435-1441, 2017.
[19] Ali Rahnamaei, Gholamreza Zare Fatin, and Abdollah Eskandarian, “High speed Radix-4 Booth scheme in CNTFET technology for high performance parallel multipliers,” Int. J. Nano Dimens., Vol.10, No. 3, pp. 281-290, 2019.
[20] Amir Fathi, Sarkis Azizian, Khayrollah Hadidi, Abdollah Khoei and Amin Chegeni, “CMOS Implementation of a Fast 4-2 Compressor for Parallel Accumulations,” 2012 IEEE International Symposium on Circuits and Systems (ISCAS), pp. 1476-1479, May 2012.
[21] Amir Fathi, Behbood Mashoufi, and Sarkis Azizian, “Very fast, high-performance 5-2 and 7-2 compressors in CMOS process for rapid parallel accumulations,” IEEE Transactions on Very Large Scale Integration Systems, Vol. 28, No. 6, pp. 1403-1412, 2020.
[22] Amir Fathi, Sarkis Azizian, Khayrollah Hadidi and Abdollah Khoei, “A Novel and Very Fast 4-2 Compressor for High Speed Arithmetic Operations,” IEICE transactions on electronics, Vol. 95, No. 4, pp. 710-712, April 2012.