Multiplication is the fundamental process in many image processing systems that undertake more computational assets. As many DSP and image applications are tolerable to inaccurate results, approximate multiplication is preferred for energy efficiency. Here in this paper, two types of approximate compressors are proposed by exploring the relationship between the sum and carry from the truth table to utilize them to design energy-saving multipliers. The proposed compressor circuits are synthesized using a 45nm library. The proposed circuits produce better Energy and Energy Delay Product (EDP) percentages when compared with the previously presented approximate compressors. Using the proposed approximate multiplier designs, the application to image processing is also presented in this paper. Image quality parameters like error rate, Normalized Relative Error Distance (NRED), and Average Relative Error Distance (ARED) are evaluated. New parameter Power and Exactness Product (PEP) is introduced, and it explicitly shows that the proposed designs are 35\(\%\) and 47\(\%\) efficient in terms of structural and quality aspects.

乘法是许多承担更多计算资产的图像处理系统中的基本过程。由于许多 DSP 和图像应用程序可以容忍不准确的结果，因此为了提高能效，首选近似乘法。在本文中，通过探索真值表中的和与进位之间的关系，提出了两种近似压缩器，并利用它们来设计节能乘法器。建议的压缩器电路是使用 45nm 库合成的。与之前提出的近似压缩机相比，建议的电路产生更好的能量和能量延迟积 (EDP) 百分比。使用所提出的近似乘法器设计，本文还介绍了在图像处理中的应用。图像质量参数，如错误率，评估归一化相对误差距离 (NRED) 和平均相对误差距离 (ARED)。引入了新参数功率和精确度乘积 (PEP)，它明确表明建议的设计是 35\(\%\)和 47 \(\%\)在结构和质量方面有效。