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Abstract An electrocardiogram records activity of cardiac which is collected through the electrodes positioned on specific locations on the human body. These signals are required for cardiac‐related issues. Electrocardiogram signals are quasi‐stable signals and are often contaminated by artefacts. The magnitude and frequency of these artefacts are different, and thus their effect on electrocardiogram is also variable. These artefacts must reduce to a significantly optimum level to make them interpretable. This paper proposes an algorithm to estimate electrocardiogram signals from the MIT‐BIH database signal using Lagrange interpolation through Chebyshev nodes. The performance evaluation of the proposed method has been assessed through standard estimation tools. Performance parameters revealed that the algorithm is suitable for signal estimation irrespective of the characteristic of artefact introduced to the signal.