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Performance Evaluation of High Speed Radix 8 Tree Based Multiplier


Affiliations
1 Department of Electronics and Communication Engineering, Sathyabama University, Chennai – 600119, Tamil Nadu, India
2 School of Electronics, Vellore Institute of Technology, Chennai - 600127, Tamil Nadu, India
 

Multipliers are the basic building blocks of signal processing and arithmetic based systems. The objective of this paper is to design a high speed multiplier that significantly improves the performance of many high performance DSP, multimedia and communications systems. This paper proposes a high speed radix 8 Booth multiplier employing signed digit representation for recoding and radix 8 modified Booth algorithm that reduces the number of partial products to n/3. The design of the multiplier is based on Wallace tree architecture with considerable improvement in performance. This paper compares the performance of conventional multiplier with radix 4 tree based Booth multiplier and radix 8 tree based Booth multiplier. The radix 8 tree based Booth multiplier is synthesized using Quartus II simulation tool. The proposed radix 8 tree based multiplier exhibits better performance with respect to area and operating frequency when compared to conventional multiplier.

Keywords

Higher Radix Booth Multiplier, Partial Product Reduction, Wallace Tree Multiplier
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  • Performance Evaluation of High Speed Radix 8 Tree Based Multiplier

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Authors

Sharmila Hemanandh
Department of Electronics and Communication Engineering, Sathyabama University, Chennai – 600119, Tamil Nadu, India
Siva Subramanium
School of Electronics, Vellore Institute of Technology, Chennai - 600127, Tamil Nadu, India

Abstract


Multipliers are the basic building blocks of signal processing and arithmetic based systems. The objective of this paper is to design a high speed multiplier that significantly improves the performance of many high performance DSP, multimedia and communications systems. This paper proposes a high speed radix 8 Booth multiplier employing signed digit representation for recoding and radix 8 modified Booth algorithm that reduces the number of partial products to n/3. The design of the multiplier is based on Wallace tree architecture with considerable improvement in performance. This paper compares the performance of conventional multiplier with radix 4 tree based Booth multiplier and radix 8 tree based Booth multiplier. The radix 8 tree based Booth multiplier is synthesized using Quartus II simulation tool. The proposed radix 8 tree based multiplier exhibits better performance with respect to area and operating frequency when compared to conventional multiplier.

Keywords


Higher Radix Booth Multiplier, Partial Product Reduction, Wallace Tree Multiplier



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i33%2F123353