Real-time isolation of physiological tremor using recursive singular spectrum analysis and random vector functional link for surgical robotics.

Asad Rasheed, Jeonghong Kim, Wei Tech Ang, Kalyana C Veluvolu
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Abstract

Hand-held robotic instruments enhance precision in microsurgery by mitigating physiological tremor in real time. Current tremor filtering algorithms in these instruments often employ nonlinear phase prefilters to isolate the tremor signal. However, these filters introduce phase distortion in the filtered tremor, compromising accuracy. Although improved variants of recursive singular spectrum analysis (RSSA) have addressed the issue of phase distortion, they still face challenges such as reduced generalization performance, large sample delays, and longer computational times. To address these issues, we integrate an accurate and fast random vector functional link (RVFL) with RSSA, referred to as RSSA-RVFL. The proposed approach consists of two main steps: estimation using RSSA and prediction with RVFL. Additionally, we introduce two moving window variants of RSSA-RVFL for real-time implementation. These variants significantly reduce computational costs while delivering the same performance. Experimental results on real tremor data show that our proposed approach achieves an average accuracy of 79.03%, surpassing the benchmark of 70.40%, with a nine-sample delay.

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基于递归奇异谱分析和随机矢量功能链接的外科机器人生理性震颤实时隔离。
手持式机器人仪器通过实时减轻生理震颤来提高显微手术的精度。目前这些仪器中的地震滤波算法通常采用非线性相位预滤波器来隔离地震信号。然而,这些滤波器在滤波后的震动中引入相位畸变,影响精度。尽管改进的递归奇异谱分析(RSSA)已经解决了相位失真问题,但它们仍然面临着诸如泛化性能降低、样本延迟大和计算时间长等挑战。为了解决这些问题,我们将精确快速的随机向量功能链接(RVFL)与RSSA集成,称为RSSA-RVFL。该方法包括两个主要步骤:RSSA估计和RVFL预测。此外,我们还介绍了RSSA-RVFL的两种移动窗口变体,用于实时实现。这些变体在提供相同性能的同时显著降低了计算成本。在真实地震数据上的实验结果表明,该方法的平均准确率为79.03%,超过了基准的70.40%,延迟为9个样本。
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