The Noise-Robust Multi-Modal Coupling Signal Estimation (NMCSE) method introduces a novel approach for cardiovascular disease detection by effectively linking electrocardiogram (ECG) and phonocardiogram (PCG) signals. Utilizing optimal transport techniques, NMCSE enhances the understanding of the relationship between the heart's electrical and mechanical functions. This coupling of multi-modal signals aims to improve diagnostic accuracy by providing a more comprehensive analysis of cardiac activity. The method's robustness to noise further supports its practical application in clinical settings. By integrating these complementary signals, NMCSE holds potential to advance cardiovascular diagnostics and contribute to earlier and more reliable disease detection. Current evaluations suggest positive effectiveness and diagnostic improvements, indicating promising benefits for healthcare. This development aligns with ongoing efforts to leverage multi-modal data and advanced computational methods in medical diagnostics.