The signal-to-noise ratio (SNR) is a fundamental metric used across various scientific and technological disciplines to quantify the quality of a signal relative to the background interference. It is mathematically defined as the ratio of the mean power of the desired signal to the mean power of the inherent noise contaminating that signal. A high SNR indicates that the useful signal component dominates the background noise, allowing for accurate detection and extraction of information. Conversely, a low SNR suggests that the system is limited by excessive noise, potentially leading to corrupted or unusable data. Understanding and maximizing SNR is critical in fields ranging from telecommunications, where it dictates data transmission reliability, to medical imaging, where it determines the clarity of captured biological data, and in radio astronomy, where it governs the detection limits of faint cosmic signals.