• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Indian Journal of Science and Technology

Year: 2024, Volume: 17, Issue: 14, Pages: 1381-1390

Original Article

Pipelined and Wave Pipelined Approach Based Comparative Analysis for 16x16 Vedic Multiplier

Received Date:31 December 2023, Accepted Date:09 March 2024, Published Date:30 March 2024

Abstract

Objectives: This work objective is to construct an FPGA-based 16x16 Vedic multiplier and assess the performance of the multiplier using three distinct architectures: pipeline, wave pipeline, and modified wave pipeline in terms of delay and clock skew. Methods: The 16 × 16 Vedic multiplier was constructed and designed through four numbers of an 8x8 Vedic multiplier. For the 16x16 Vedic multiplier, the 3-stage pipeline and wave pipeline techniques are applied, and the delay performances of the Vedic multiplier are compared. Delay optimization: In the wave pipeline Vedic multiplier architecture, the delay is decreased by inserting the known delay on the longest path delay between the multiplier and adder. Clock skew optimization: The clock skew issue of the wave pipeline Vedic multiplier architecture is minimized by adjusting the setup time violation of the clock signal that is connected to the input and output registers. Findings: The delay performance of the Vedic multiplier was evaluated by the synthesis tools Xilinx 12.1, Xilinx ISE 14.2, and Altera, and based on the synthesis report, the Xilinx synthesis tool offers 73.71% delay performance for the pipeline approach and 53.39% for the wave pipeline approach compared to the Altera tool. Further delay is reduced by the proposed modified wave pipeline approach, which saves 2.122 ns of delay compared to the wave pipeline architecture. The clock skew performance was analyzed using the Time Quest timing analyzer tool, and it was minimized to 0.035 from 0.048 compared to the wave pipeline approach. Novelty: In this work, the modified wave pipeline approach has been applied to the existing Vedic multiplier architecture, and it offers less delay as well as less clock skew compared to the existing method. Hence, the performance of the Vedic multiplier with a modified wave pipelined approach was evaluated through a 3-tap FIR filter by applying a vibroarthrography signal.

Keywords: Pipeline, Wave Pipeline, Vedic Multiplier, Clock skew, Set up violation, Altera quartex- II Time quest timing analyzer tool

References

  1. Savji A, Oza S. Design and Implementation of Vedic Multiplier. International Journal of Recent Technology and Engineering (IJRTE). 2020;8(6):3142–3145. Available from: https://www.ijrte.org/wp-content/uploads/papers/v8i6/F8808038620.pdf
  2. Jhamb M, Kumar M. Optimized vedic multiplier using low power 13T hybrid full adder. Journal of Information and Optimization Sciences. 2023;44(4):675–687. Available from: https://doi.org/10.47974/JIOS-1222
  3. Khubnani R, Sharma T, Subramanyam C. Applications of Vedic multiplier - A Review. In: Virtual National Conference on Materials for Electronics Applications 2021 , Journal of Physics: Conference Series. (Vol. 2225, pp. 1-10) IOP Publishing. 2022.
  4. Immareddy S, Sundaramoorthy A. A survey paper on design and implementation of multipliers for digital system applications. Artificial Intelligence Review. 2022;55(6):4575–4603. Available from: https://doi.org/10.1007/s10462-021-10113-0
  5. Łysiak A, Frońn A, Bączkowicz D, Szmajda M. Vibroarthrographic Signal Spectral Features in 5-Class Knee Joint Classification. Sensors . 2020;20(17):1–15. Available from: https://doi.org/10.3390/s20175015
  6. Algredo-Badillo I, Ramírez-Gutiérrez KA, Morales-Rosales LA, Bautista DP, Feregrino-Uribe C. Hybrid Pipeline Hardware Architecture Based on Error Detection and Correction for AES. Sensors . 2021;21(16):1–26. Available from: https://doi.org/10.3390/s21165655
  7. Christilda VD, Milton A. Speed, power and area efficient 2D fir digital filter using Vedic multiplier with predictor and reusable logic. Analog Integrated Circuits and Signal Processing. 2021;108:323–333. Available from: https://doi.org/10.1007/s10470-021-01853-8
  8. Krylov G, Friedman EG. Wave Pipelining in DSFQ Circuits. IEEE Transactions on Applied Superconductivity. 2022;32(8). Available from: https://doi.org/10.1109/TASC.2021.3135956
  9. Gorawski M, Grochla K, Marjasz R, Frankiewicz A. Energy Minimization Algorithm for Estimation of Clock Skew and Reception Window Selection in Wireless Networks. Sensors. 2021;21(5):1–17. Available from: https://doi.org/10.3390/s21051768
  10. Zhou J, Xie G, Yu S, Li R. Clock-Based Sender Identification and Attack Detection for Automotive CAN Network. IEEE Access. 2020;9:2665–2679. Available from: https://doi.org/10.1109/ACCESS.2020.3046862
  11. Najafi A, Najafi A, Garcia-Ortiz A. Stochastic Wave-Pipelined On-Chip Interconnect. IEEE Transactions on Circuits and Systems II: Express Briefs. 2020;67(5):841–845. Available from: https://doi.org/10.1109/TCSII.2020.2984194
  12. Quartus -II handbook version 9.0. (Vol. 3, pp. 1-92) Altera corporation. 2019.

Copyright

© 2024 Prasad et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)

DON'T MISS OUT!

Subscribe now for latest articles and news.