Extension and Analysis of the ARG algorithm to 2D



Adaptive Filter, 2D, Noise Cancellation, 2DARγ, TD, TWD.


Two-dimensional (2D) adaptive filtering is a technique that has been used for denoising in applications such as biomedical image processing in recent years. In this paper, we design the extension of the 1D-ARG adaptive filtering schemes to form new 2D-ARG adaptive filters. To compare the performance of the proposed algorithm in noise reduction in digital images, three images of different sizes from the Matlab library, Moon, Pout, and Cameraman, are taken as reference. This reduction is compared with two other gradient algorithms least mean squares (LMS) and normalized least mean squares (NLMS) for 2D adaptive filter design. Based on the simulation results and the established metrics, we demonstrate that the proposed method achieves a noise reduction eventually superior to the other 2D gradient algorithms.


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Author Biographies

Jhonatan Collazos Ramirez, Universidad del Cauca, Popayán-Colombia

Mathematician from the University of Cauca, Colombia (2016). He is currently pursuing a Doctor in science of Electronic of the Universidad del Cauca, Colombia. He is currently a professor in the construction Department of the Faculty of civil Engineering of the Universidad del Cauca. His main research interests includethe His research areas include signal processing and adaptive systems.

Pablo Emilio Jojoa Gomez, Universidad del Cauca, Popayán-Colombia

Electronic Engineer from the Universidad del Cauca, Colombia (1993), Magister (1999) and Doctor (2003) in Electrical Engineering in the area of concentration of Electronic Systems from the Escola Politécnica of the Universidade de São Paulo, Brazil. He is currently a professor in the Telecommunications Department of the Faculty of Electronic Engineering and Telecommunications of the Universidad del Cauca.
His research areas include signal processing and adaptive systems.

Juan Pablo Hoyos Sanchez, Universidad Nacional de Colombia, sede De La Paz

Received the Engineer, Magister in Electronics and Telecommunications and Doctor in Electronic Sciences degrees from Universidad del Cauca, Popayan, Colombia, in 2010, 2016, and 2018 respectively. From 2019 to 2021, he was a Postdoctoral fellow at the GNTT of the of the Universidad del Cauca, and from 2020 to 2022 he was a Postdoctoral Researcher at the Center for Mathematical Modeling (CMM) at Universidad de Chile. He is currently an assistant professor at the Universidad Nacional de Colombia, sede De La Paz. His research interest are in signal processing, machine learning, wavelet theory, and compressed sensing.


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How to Cite

Collazos Ramirez, J., Jojoa Gomez, P. E., & Hoyos Sanchez, J. P. (2022). Extension and Analysis of the ARG algorithm to 2D. IEEE Latin America Transactions, 20(12), 2448–2454. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/6654