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Reduction of Effects of Noise on the Inverse Problem of Electrocardiography with Bayesian Estimation

机译:减少噪音影响对贝叶斯估计的心电图逆问题

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To overcome the ill-posed nature of the inverse problem of electrocardiography (ECG) and stabilize the solutions, regularization is used. Despite several studies on noise, effect of prefiltering of ECG signals on the regularized inverse solutions has not been explored. We used Bayesian estimation for solving the inverse ECG problem with and without applying various prefiltering methods, and evaluated our results using experimental data that came from a Langendorff-perfused pig heart suspended in a human-shaped torso-tank. Epicardial electrograms were recorded during RV pacing using a 108-electrode array, simultaneously with ECGs from 128 electrodes embedded in the tank surface. Leave-one-beat-out protocol was used to obtain the prior probability density function (pdf) of electrograms and noise statistics. Noise pdf was assumed to be zero mean-Gaussian, with covariance assumptions: a) independent and identically distributed (noi-iid), b) correlated (noi-corr). Reconstructed electrograms and activation times were compared to those directly recorded by the sock for 3 beats selected from the recording. Noi-corr is superior to noi-iid when the training set is a good match to data, but for applications requiring activation time derivation, careful selection of preprocessing methods, in particular to adequately remove high-frequency noise, and an appropriate noise model is needed.
机译:为了克服心电图(ECG)的逆问题并稳定溶液的不良问题,使用正则化。尽管有几项研究噪音,但尚未探讨预热心电图信号对正规化反应解决方案的影响。我们使用贝叶斯估计来解决逆心电图问题,而不应用各种预过滤方法,并使用从悬浮在人形躯干箱中的Langendorff-灌注的猪心脏的实验数据评估我们的结果。使用108电极阵列在RV起搏期间记录外心电图,同时与嵌入在罐表面中的128个电极的ECG。留下一次拍摄协议用于获得电子图和噪声统计的现有概率密度函数(PDF)。假设噪声PDF为零平均值,具有协方差假设:a)独立且相同分布(NOI-IID),b)相关(NOI-COR)。将重建的电视图和激活时间进行比较,与袜子直接记录的那些从录像中选择的3个节拍。 NOI-COR优于NOI-IID,当训练集是良好的数据匹配,但对于需要激活时间推导的应用,仔细选择预处理方法,特别是充分地去除高频噪声,以及适当的噪声模型需要。

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