The abstract presents a novel approach for achieving side lobe suppression and low peak-to-average power ratio (PAPR) in pulse compression-based radar systems using Gaussian filter-based Costas coding. Pulse compression radar relies on coded waveforms to achieve high range resolution and accurate target detection. However, conventional Costas coding techniques may exhibit undesired range side lobes and high PAPR, which can degrade radar performance. To address these issues, we propose the integration of a Gaussian filter into the pulse compression process. The Gaussian filters act as a windowing function, shaping the transmitted pulse waveform to achieve improved side lobe suppression and reduced PAPR. By convolving the modulated pulse with a Gaussian filter, the transmitted waveform exhibits enhanced autocorrelation properties and minimized side lobes. This leads to accurate target range estimation while maintaining a lower PAPR, enhancing power efficiency and mitigating interference effects. Simulation and optimization techniques can be employed to determine the optimal design parameters of the Gaussian filter for specific radar system requirements. The proposed approach offers a promising solution for achieving superior radar performance with minimized side lobes and reduced PAPR in pulse compression-based radar systems.