This article presents a study on ECG signal filtering algorithms to denoise signals corrupted by various types of noise sources. The study also examines the effect of Kronecker tensor product values on ECG rates. The study is conducted in a Matlab environment, and the results demonstrate that a constant number for the respective codes can effectively denoise ECG signals without any trouble. These findings have significant implications for diagnosing abnormal heart rhythms and investigating chest pains. The present study is novel in that it explores the relationship between ECG rate and Kronecker delta values across different age groups, which has not been extensively studied in previous literature. The study's unique contribution is the determination of age-specific values of the constant K required to represent this relationship accurately in different populations, which could inform the development of more effective algorithms for denoising ECG signals in clinical settings. Additionally, this study's finding of an inverse relationship between ECG rate and Kronecker delta values could have broader implications for understanding the physiological factors that contribute to variability in ECG measurements. The study provides valuable insights into ECG signal processing and suggests that the implemented techniques can improve the accuracy of ECG signal analysis in real-time clinical settings. Overall, the manuscript is a valuable contribution to the field of biomedical signal processing and provides important information for researchers and healthcare professionals.

This paper describes a unique study that uses multiple FIR adaptive filter algorithms to denoise adult electrocardiogram (ECG) data. The study looks at how power line interference, external electromagnetic fields, random body motions, and breathing impact ECG measurement accuracy. The article takes a fresh look at Savitzky-Golay filtering techniques by implementing and evaluating them inside the FIR adaptive filter architecture. Matlab is used to evaluate the performance of the Affine projection FIR adaptive filter (AP), Direct-form Normalized least-mean-square FIR adaptive filter (NLMS), and Sliding-window Recursive least-squares FIR adaptive filter (SWRLS). The results show how different strategies compare in terms of performance and their influence on recorded waveform quality. The study extends to our understanding of the efficiency of FIR adaptive filter algorithms in decreasing ECG signal noise and helps us better understand their potential uses in ECG signal processing. Based on reliable ECG data, the research findings assist the development of new approaches for diagnosing aberrant cardiac rhythms and examining the origins of chest discomfort. The originality of this work comes in its thorough assessment, comparison, and unique use of Savitzky-Golay filtering techniques inside FIR adaptive filter algorithms, which contributes to the area of ECG signal denoising. According to a comparative investigation, the SWRLS FIR adaptive filter method improves ECG signal denoising by 91.53% noise reduction.