Skip to main content

Novel FPGA-Based Hardware Design of Canonical Signed Digit Matrix Multiplier and Its Comparative Analysis with Other Multipliers

  • Conference paper
  • First Online:
International Conference on Artificial Intelligence: Advances and Applications 2019

Part of the book series: Algorithms for Intelligent Systems ((AIS))

Abstract

Matrix multiplication is one of the crucial operations in most of the digital signal processing applications. The number of additions and multiplications required in this operation may become quite large as the order of the matrix increases. In this paper, the design and simulation of matrix multiplication architecture using canonical signed digit representation of binary numbers have been presented. Real-time implementation of various signal processing applications like dynamic time warping (DTW) is hindered because of the speed constraints posed by the delay in multiplication operations. The speed of multiplication operation can be increased using canonical signed digit (CSD) representation of numbers instead of 2’s complement representation. In this work, comparative analysis of various binary multipliers along with CSD multiplier based on field-programmable gate array (FPGA) in Verilog Hardware Description Language has been done followed with the simulation of matrix multiplier using the proposed technique. The target device used in the work for synthesis purpose is xa6slx4-3-csg225 in Xilinx. Simulation has been performed in ModelSim.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Sharma DH, Ramesh AP (2016) Floating point multiplier using canonical signed digit. Int J Adv Res Electron Commun Eng (IJARECE) 2(11) (F: Article title. J 2(5):99–110)

    Google Scholar 

  2. Sharma B, Bakshi A Comparison of 24 × 24 bit multipliers for various performance parameters. Int J Res Advent Technol (E-ISSN: 2321–9637)

    Google Scholar 

  3. Momeni A, Montuschi P (2015) Design and analysis of approximate compressors for multiplication. IEEE Trans Comput 64(4):984–994

    Article  MathSciNet  Google Scholar 

  4. Bhattacharjee A, Sen A (2017) Compare efficiency of different multipliers using Verilog simulation & modify an efficient multiplier. Int J Latest Technol in Eng Manag Appl Sci (IJLTEMAS) 6(3), ISSN 2278–2540

    Google Scholar 

  5. Goyal N, Gupta K, Singla R (2014) Study of combinational and booth multiplier. Int J Sci Res Publ 4(5):1 ISSN 2250–3153

    Google Scholar 

  6. Yogendri, Gupta AK (2016) Design of high performance 8-bit Vedic multiplier. In: 2016 international conference on advances in computing, communication, & automation (ICACCA) (Spring), Dehradun, pp 1–6

    Google Scholar 

  7. Vishwanath BR, Theerthesha TS (2015) Multiplier using canonical signed digit code. Int J Res Appl Sci Eng Technol (IJRASET) 3(5)

    Google Scholar 

  8. Suneja K, Bansal M (2015) Hardware design of dynamic time warping algorithm based on FPGA in Verilog. Int J Adv Res Electron Commun Eng (IJARECE) 4(2):165–168

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Koul, R., Yadav, M., Suneja, K. (2020). Novel FPGA-Based Hardware Design of Canonical Signed Digit Matrix Multiplier and Its Comparative Analysis with Other Multipliers. In: Mathur, G., Sharma, H., Bundele, M., Dey, N., Paprzycki, M. (eds) International Conference on Artificial Intelligence: Advances and Applications 2019. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-15-1059-5_8

Download citation

Publish with us

Policies and ethics