Main Article Content
Abstract
Image compression is a basic need for efficient storage and transmission of high-resolution visual information of modern imaging and sensing systems. Algorithmic-level approximation within biorthogonal discrete wavelet transforms (DWT)-based compression has become an effective means in reducing the computation cost while keeping the image perceptual quality. A convolution-based wavelet framework introduced at the multiplier level to control the approximation leads to lower power usage and silicon area in hardware implementations in a systematic manner. In this work, the Multiplier Leadership Optimization Algorithm (MLOA) is used to select exact or approximate multiplier configurations under PSNR and SSIM constraints for energy-efficient hardware implementation. Wallace tree, Dadda tree, Vedic, and Baugh-Wooley multiplier architectures are embedded into the wavelet transform for efficient computation. Simulating with image datasets such as Castle, Baboon, Cameraman, Woman, and Boat shows that the evaluated configurations maintain PSNR values above 30 dB, while SSIM is used as the primary feasibility constraint for structurally sensitive images. The FPGA synthesis results show that Dadda-based MLOA configuration achieves the lowest normalized power and delay among the evaluated multiplier architectures, while the Multiplier Leadership Optimization Algorithm-based Leader-Column Approximate Kogge-Stone Adder (MLOA-LC-AKSA) configuration achieves 145 LUTs, 3.6 ns delay, 52 mW power, 187.2 pJ power-delay product, and 277 MHz maximum frequency. Furthermore, the parallel execution of row-wise and column-wise wavelet convolutions yields a throughput improvement of up to 41%. These results validate the algorithmic-level approximation, HDL-based hardware feasibility, and the suggested framework's parallel-processing capacity as a scalable, energy-efficient, hardware-oriented high-resolution picture compression solution.
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References
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References
RiteshSur Chowdhury, Jhilam Jana, Sayan Tripathi, Jaydeb Bhaumik, “Improved DWT and IDWT Architectures for Image Compression,” Microprocessors and Microsystems, vol. 104, p. 104990, Feb. 2024, doi: 10.1016/j.micpro.2023.104990.
K. Prashanth and N. Kumar, “Area Efficient Approximate Multiplier Based on Novel 4:2 Compressors and Error Correction Logic,” Scientific Reports, vol. 16, Art. no. 1783, 2026
S. K. Sahoo, P. Goyal, and A. Kumar, “EOHEAA: Error-Optimized Hardware-Efficient Approximate Adder for Energy-Aware Error-Resilient Applications,” Integration, the VLSI Journal, vol. 108, p. 102660, May 2026, doi: 10.1016/j.vlsi.2026.102660.
S. Ghosh, A. Singh, and S. Kumar, “Multiplier leadership optimization algorithm (MLOA): Unconstrained global optimization approach for melanoma classification,” Discover Internet of Things, vol. 5, no. 1, p. 70, 2025, doi: 10.1007/s43926-025-00168-8.
P. Balasubramanian, R. Nayar, and D. L. Maskell, “Digital image compression using approximate addition,” Electronics, vol. 11, no. 9, p. 1361, 2022, doi: 10.3390/electronics11091361.
C. E. R. Urban, M. M. A. da Rosa, and E. A. C. da Costa, “Energy-efficient discrete Haar Wavelet Transform architectures exploring approximate adders for high-quality image compression and reconstruction,” Future Generation Computer Systems, p. 107999, 2025, doi: 10.1016/j.future.2025.107999.
A. Raha, H. Jayakumar, and V. Raghunathan, “Input-based dynamic reconfiguration of approximate arithmetic units for video encoding,” IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 24, no. 3, pp. 846–857, 2015, doi: 10.1109/TVLSI.2015.2424212.
Baviskar, S. Ashtekar, A. Chintawar, J. Baviskar, and A. Mulla, “Performance analysis of sub-band replacement DWT based image compression technique,” in 2014 Annual IEEE India Conference (INDICON), Dec. 2014, pp. 1–6, doi: 10.1109/INDICON.2014.7030693.
Vittoria Bruni, Mariantonia Cotronei, Francesca Pitolli “A Family of Level-Dependent Biorthogonal Wavelet Filters for Image Compression,” Journal of Computational and Applied Mathematics, vol. 367, p. 112467, Mar. 2020, doi: 10.1016/j.cam.2019.112467.
J. Jana, R. S. Chowdhury, S. Tripathi, and J. Bhaumik, “FPGA Implementation of Compact and Low-Power Multiplierless Architectures for DWT and IDWT,” Journal of Real-Time Image Processing, vol. 21, no. 1, Art. no. 19, 2024, doi: 10.1007/s11554-023-01396-3.
A. George, Jayakumar E. P, “Hardware-efficient DWT architecture for image processing in visual sensors networks,” IEEE Sensors Journal, vol. 23, no. 5, pp. 5382–5390, 2023, doi: 10.1109/JSEN.2023.3235371.
Pegah Zakian, Rahebeh Niaraki Asli, “An Efficient Approximate Multiplier: Design, Error Analysis and Application,” AEU - International Journal of Electronics and Communications, vol. 180, p. 155254, Jun. 2024, doi: 10.1016/j.aeue.2024.155254.
M. Banisharif Dehkordi and H. Ahmadifar, “A new approximate (8; 2) compressor for image processing applications,” IETE Journal of Research, vol. 70, no. 2, pp. 1352–1360, 2024, doi: 10.1080/03772063.2023.2171915.
Mohammad Ahmadinejad, Mohammad Hossein Moaiyer ,Farnaz Sabetzadeh, “Energy and Area Efficient Imprecise Compressors for Approximate Multiplication at Nanoscale,” AEU - International Journal of Electronics and Communications, vol. 110, p. 152859, Oct. 2019, doi: 10.1016/j.aeue.2019.152859.
Bahram Rashidi, “Efficient and Low-Cost Approximate Multipliers for Image Processing Applications,” Integration, the VLSI Journal, vol. 94, p. 102084, 2024, doi: 10.1016/j.vlsi.2023.102084.
V. Tammineni, S. K. Beura, M. B. Murthy, S. Majumdar, and P. Saha, “Optimized recursive approximate multipliers for edge detection and image smoothing applications,” Microsystem Technologies, vol. 31, no. 10, pp. 2771–2782, 2025, doi: 10.1007/s00542-024-05810-z.
Chinna V. Gowdar and M. C. Parameshwara, “Design of energy efficient approximate multipliers for image processing applications,” ICTACT Journal on Microelectronics, vol. 7, no. 1, pp. 1057–1061, 2021, doi: 10.21917/ijme.2021.0184.
A. Chakraborty, V. P. A. Kumar, A. K. Vruddhula, and J. Naidu, “Energy efficient approximate multiplier for image processing applications,” Results in Engineering, vol. 25, p. 103798, 2025, doi: 10.1016/j.rineng.2024.103798.
Kenny3s, “picture_material,” Kaggle, 2020. [Online]. Available: https://www.kaggle.com/datasets/kenny3s/picture-material. [Accessed: Feb. 2, 2026].
W. J. Townsend, E. E. Swartzlander Jr., and J. A. Abraham, “A comparison of Dadda and Wallace multiplier delays,” in Advanced Signal Processing Algorithms, Architectures, and Implementations XIII, Dec. 2003, vol. 5205, pp. 552–560, doi: 10.1117/12.507012.
Parthibaraj Anguraj, Thiruvenkadam Krishnan, “Design of area-efficient modified decoder-based imprecise multiplier for error-resilient applications,” Microelectronics Journal, vol. 141, p. 105957, Nov. 2023, doi: 10.1016/j.mejo.2023.105957
A. A. Rather, B. Khurshid, S. A. Banday, A. A. Algarni, and A. H. Alamri, “Design of high-performance, accurate, and approximate Dadda-tree multipliers for image processing applications,” Scientific Reports, vol. 15, Art. no. 41338, 2025, doi: 10.1038/s41598-025-25239-2
S. Chandaka and B. Narayanam, “Hardware Efficient Approximate Multiplier Architecture for Image Processing Applications,” Journal of Electronic Testing, vol. 38, no. 2, pp. 217–230, Apr. 2022, doi: 10.1007/s10836-022-06000-3.
L. Malathi, A. Bharathi, and A. N. Jayanthi, “FPGA design of FFT based intelligent accelerator with optimized Wallace tree multiplier for image super resolution and quality enhancement,” Biomedical Signal Processing and Control, vol. 88, p. 105599, 2024, doi: 10.1016/j.bspc.2023.105599.
P. Foroutan and K. Navi, “Energy efficient approximate compressor architectures for high performance image multiplication in CNTFET technology,” Scientific Reports, vol. 15, no. 1, p. 36269, 2025, doi: 10.1038/s41598-025-20281-6.