In the Synthetic Aperture Radar (SAR) research environment Imaging concept plays a very important role. However, many challenges and complexities to forming an image, and many algorithms were developed accordingly. Most of the algorithms were developed by approaching the conventional SAR imaging algorithms like Delay and Sum algorithm (DAS) and Back Projection Algorithm (BPA). This paper presents an overview of these two significant SAR imaging algorithms. The preliminary objective of this paper is to summarize the fundamentals, challenges, and latest advancements in SAR imaging by providing their mathematical framework. We briefly presented the state of the art of SAR imaging and implementations. Also, we compared the algorithms in metrics of noisy environments, execution time, and image resolution for the different algorithms used.