This study presents an advanced method for effectively mitigating noise in periodic and quasi-periodic signals. The approach combines spectral histogram thresholding and sinc restoration filtering to significantly enhance signal quality. Spectral histogram analysis aids in identifying noise components, allowing for precise thresholding and removal. Subsequently, sinc restoration filtering is applied to recover signal integrity while preserving essential frequency components. Experimental results demonstrate the method's proficiency in reducing noise while preserving the fidelity of periodic and quasi-periodic signals. This approach holds promise for applications in various domains, including telecommunications, audio processing, and scientific instrumentation.