This research focuses on achieving real-time radio frequency interference (RFI) mitigation in astronomy signals. The study explores the use of Modified-LMS and Wavelet transformation for adaptive filtering across L to S frequency bands. Our aim is to develop a mathematical model that assesses the impact of algorithmic changes while detecting transient interference events with
a low mean square error (MSE) and a high signal-to-noise ratio (SNR). The effect of algorithmic variations on the estimation of spectral coefficients is evaluated in digital backend data processing, with special focus on the recognition of transient interfering events and monitoring of low-power spectral density scenarios in radio astronomy receivers. Hardware validation will be performed on a processing system with a radio frequency system-on-chip (RFSoC) and a graphics processing unit (GPU) as hardware accelerators.