Vajargah Kianoush Fathi, Benis Sara Ghaniyari, Golshan Hamid Mottaghi
Department of Statistics, Tehran North Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Shahriar Branch, Islamic Azad University, Shahriar, Iran.
Health Inf Sci Syst. 2021 Jul 1;9(1):26. doi: 10.1007/s13755-021-00157-5. eCollection 2021 Dec.
Vital signal renovation plays an important role in a wide range of applications, including signal analysis and diagnosing diseases through it. Therefore, it is salient to get the main content of the vital signal. In this research, a new approach to the problem of noise removal from vital signals is presented based on random optimization through Monte Carlo Markov Chain (MCMC) sampling. For this purpose, the problem of noise omission from the vital signal is described as a Bayesian squared minimization problem, and considering a non-parametric random approach to solve this problem, the Monte Carlo Markov Chain noise omission approach is flexibly adapted to the noise detection domain in vital signals. To test the performance of the proposed method, four types of vital signals have been used: Medical images, ECG electrocardiogram signals, EEG brain signals as well as ENG nerve and muscle signals. The results of the experiments show that the use of sampling technique based on Gaussian distribution and, retrieving the signal based on the weighted average in the selected samples allows a more accurate estimate of the ideal signal. This more accurate estimation minimizes the difference between the actual and the retrieved signals. As a result, in addition to reducing the mean error squares, the signal-to-noise ratio increases.
生命信号重建在广泛的应用中起着重要作用,包括信号分析以及通过它来诊断疾病。因此,获取生命信号的主要内容非常重要。在本研究中,提出了一种基于蒙特卡罗马尔可夫链(MCMC)采样的随机优化方法来解决生命信号的去噪问题。为此,将生命信号的去噪问题描述为贝叶斯平方最小化问题,并考虑采用非参数随机方法来解决该问题,将蒙特卡罗马尔可夫链去噪方法灵活地应用于生命信号的噪声检测领域。为了测试所提方法的性能,使用了四种类型的生命信号:医学图像、心电图(ECG)信号、脑电图(EEG)脑信号以及眼震电图(ENG)神经和肌肉信号。实验结果表明,使用基于高斯分布的采样技术,并在所选样本中基于加权平均来恢复信号,可以更准确地估计理想信号。这种更准确的估计使实际信号与恢复信号之间的差异最小化。结果,除了降低均方误差外,信噪比也提高了。