
EFFICIENT 3-PARALLEL POLYPHASE ODD LENGTH FIR FILTER USING KNOWLES ADDER AND COMPRESSOR BASED DADDA MULTIPLIER FOR VLSI APPLICATIONS | IJET – Volume 11 Issue 6 | IJET-V11I6P31

Table of Contents
ToggleInternational Journal of Engineering and Techniques (IJET)
Open Access • Peer Reviewed • High Citation & Impact Factor • ISSN: 2395-1303
Volume 11, Issue 6 | Published: December 2025
Author:Tharigoppula Sushmitha, DR.T. Madhavi Kumari
DOI: https://doi.org/{{doi}} • PDF: Download
Abstract
The demand for high-speed, low-power, and area-efficient hardware architectures has become essential in modern digital signal processing (DSP) systems and contemporary communication technologies. Finite Impulse Response (FIR) filters play a crucial role in these applications by ensuring stable and accurate signal manipulation, but their conventional designs often suffer from large hardware complexity, high propagation delay, and excessive power consumption. To address the drawbacks observed in earlier designs, this work proposes a high-performance 3-parallel polyphase FIR filter structure tailored specifically for odd-length filters. that integrates a Knowles adder and a compressor-based Dadda multiplier for optimized performance in Very Large Scale Integration (VLSI) applications. The design leverages a parallel polyphase structure to enhance throughput and computational speed, while the Dadda multiplier with compressor logic reduces the total count of intermediate partial-product compression levels, minimizing delay and switching power. The Knowles adder, with its balanced prefix tree structure, further improves speed and reduces interconnection complexity compared to conventional adders. The architecture introduced in this work is modeled in Verilog HDL, simulated and synthesized using Xilinx Vivado, and implemented on the Basys 3 FPGA board to validate its performance. Experimental results demonstrate that the developed FIR filter design achieves significant improvements in speed, area utilization, and power efficiency when evaluated against conventional FIR implementations that rely solely on basic multiplier–adder arrangements. The obtained outputs confirm accurate filtering operation, while synthesis results show reduced logic utilization and achieves a noticeably shorter critical path. Because of its improved computational performance, making the architecture highly appropriate for real-time DSP, biomedical processing, wireless communication, and other embedded VLSI applications.
Keywords
FIR Filter, Knowles Adder, Dadda Multiplier, Compressor, FPGA, VLSI Optimization, Parallel Processing.
Conclusion
The proposed Efficient 3-Parallel Polyphase Odd-Length FIR Filter utilizing a Knowles Adder and Compressor-Based Dadda Multiplier has been effectively designed and implemented to achieve enhanced performance in terms of speed, power, and area. Through simulation and FPGA realization on the Basys 3 board, the system demonstrated accurate functional behavior and stable hardware operation. The optimized combination of the Dadda multiplier and 4:2 compressor greatly minimized the number of intermediate partial-product compression levels, minimizing propagation delay. Meanwhile, the Knowles adder provided faster carry computation with reduced wiring complexity, contributing to a more area-efficient and high-speed filter architecture.
The experimental analysis revealed notable improvements over existing FIR filter designs. The proposed architecture demonstrates notable improvements across all performance metrics. It requires only 41 LUTs, leading to a smaller hardware footprint and using a low power of 0.093 W and achieving a minimized delay of 7.46 ns. These results show superior efficiency compared with conventional FIR filters and those based on Brent–Kung and Booth multipliers. Such enhancements make the design highly suitable for real-time DSP applications where rapid computation and low-energy operation are essential. The architecture may be further extended in the future to support higher-order filters, adaptive systems, or reconfigurable FPGA-based DSP platforms, offering broader scalability and enhanced functionality.
References
[1]S.-F. Hsiao, M.-R. Chen, and C.-T. Hong, “High-speed and low-power 3-2 counter and 4-2 compressor for fast multipliers” Electronics Letters, volume 34, number 4, pp. 341–343, 1998.
[2]Gu. J and Chang C. H. “Ultra low-voltage and low-power 4–2 compressor architecture for high-speed arithmetic operations,” IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, volume 54, Issue 5, pages 412–416, published in May 2003.
[3]B. Reddy and V. Kumar, “Design of high-speed Wallace tree multiplier using 4-2 compressor and Kogge-Stone adder” International Journal of Engineering Research & Technology, volume 8, number 5, pp. 205–210, May 2019.
[4]P. Singh and R. Kumar, “High-speed multiplier design using 5-2 compressors,” International Conference on Communication and Signal Processing, Pages 654–659, released in the year 2020.
[5]N. Mishra, P. Patel, and M. Chauhan, “Hybrid multiplier using 5:2 compressor and Brent-Kung adder for efficient VLSI implementation” IEEE Access, volume 9, pp. 15847–15856, 2021.
[6]J. Patel and H. Shah, “Design of high-speed Han-Carlson adder integrated with Wallace tree structure,” International Journal of Innovative Academic research Journal of Computer and Communication Engineering, Volume 9, no. 7, pp. 1211–1218, July 2022.
[7]S. Chanda, K. Guha, S. Patra, A. Karmakar, L. M. Singh, and K. L. Baishnab, “Design of an energy-efficient exact 32-bit Dadda multiplier,” presented at the IEEE Fifth International Conference on Convergence at the I2CT conference held in Mumbai, India, in 2019, spanning pages 1–4.
[8]K. A. Rao, A. Kumar, and N. Purohit, “Efficient implementation for 3-parallel linear-phase FIR digital odd length filters,” 2020 IEEE 4th Information and Communication Technology Conference (CICT), held in Chennai, India, 2020, pp. 1–6.
[9]Rao, K. A., and Pandit, M, and N. Purohit, “A 3-parallel polyphase odd-length FIR filter employing Brent–Kung adders and Booth multipliers for VLSI systems,” in the proceedings of the Ninth IEEE Uttar Pradesh Section Conference on Electrical Engineering, Electronics and Computer Engineering (UPCON), Prayagraj, India, 2022, pp. 1–5.
[10]S. T. Bala, M. K. Bansal, and P. Saini introduced an approximate Wallace tree multiplier that incorporates a 4:2 compressor-driven reduction structure. Their work appeared in the International Journal of Engineering and Advanced Technology (IJEAT), Volume 8, Issue 5, pages 1543–1548, published in 2019.
[11]P. D. H. Knowles, “A family of adders,” Published in the IEEE Symposium proceedings on Computer Arithmetic, pp. 277–281, published in the year 1991.
[12]Wallace, C. S, “Design of a high-performance multiplier framework,” reported in IEEE Transactions on Electronic Computers, Volume EC-13, Issue 1, pages 14 through 17, issued in February 1964.
[13]L. Dadda, “Some schemes for parallel multipliers,” Alta Frequenza, volume 34, pages 349–356, published in 1965.
[14]B. Parhami, Computer Arithmetic: Algorithms and Hardware Designs, 2nd edition, Oxford University Press, 2010.
[15]Mitra, S. K., Digital Signal Processing: A Computational Perspective, Fourth Edition, McGraw-Hill, 2010.
[16]D. S. Prasad and P. R. Kumar, “FPGA implementation of high-performance FIR filter using parallel processing” Procedia Computer Science, volume 143, pp. 573–580, 2018.
[17]A. R. Akula and S. B. P., “FPGA-based implementation of 3-parallel polyphase FIR filter using Dadda multiplier,” International Journal of Advanced Scholarly studies in Electronics and Communication Engineering, volume 10, number 4, pp. 445–451, 2021.
[18]R. B. Choudhary and N. Patel, “High-speed digital filter design using compressor and hybrid adder,” IEEE International Conference on Communication and Signal Processing (ICCSP), pp. pages 654 through 659, April 2022.
[19]S. R. Prakash and G. Srinivas, “Hardware optimization of FIR filter using parallel and polyphase structures” IEEE Transactions on Circuits & Systems, Series II volume 69, number 8, pp. 3241–3250, August 2022.
[20]V. K. Sharma, “Low-power design of DSP processors using compressor-based Dadda multipliers,” Volume 15 of the “International Journal of Electronics and Communication Engineering”, number 5, pp. 305–312, 2023.
Cite this article
APA
Tharigoppula Sushmitha, DR.T. Madhavi Kumari (December 2025). EFFICIENT 3-PARALLEL POLYPHASE ODD LENGTH FIR FILTER USING KNOWLES ADDER AND COMPRESSOR BASED DADDA MULTIPLIER FOR VLSI APPLICATIONS. International Journal of Engineering and Techniques (IJET), 11({6). https://doi.org/{{doi}}
Tharigoppula Sushmitha, DR.T. Madhavi Kumari, “EFFICIENT 3-PARALLEL POLYPHASE ODD LENGTH FIR FILTER USING KNOWLES ADDER AND COMPRESSOR BASED DADDA MULTIPLIER FOR VLSI APPLICATIONS,” International Journal of Engineering and Techniques (IJET), vol. 11, no. 6, December 2025, doi: {{doi}}.
