Mathematical Approach for Enhancing Audio Signal Quality: Theory, Insights, and Applications

Abstract

In real-life audio signal transmission, noise significantly diminishes signal quality. This paper explains a technique to mitigate noise in audio signals. The proposed technique leverages the Fast Fourier Transform (FFT) to filter noisy signals, with a focus on White noise (AWGN) as the noise source. The underlying mathematical theory is comprehensively explored, accompanied by practical insights derived from a selected sample frequency. The significance of noise reduction in enhancing audio signal quality within communication systems is underscored. This study contributes to the understanding of the mathematics behind noise reduction techniques and their application in real-world scenarios.