论文标题
具有ECG压缩中应用的广义合理变量投影
Generalized Rational Variable Projection With Application in ECG Compression
论文作者
论文摘要
在本文中，我们基于理性功能系统开发了一种自适应变换域技术。在信号理论的几个领域，包括滤波器设计，传输函数近似，系统识别，控制理论等都是一般重要的。在称为变量投影的一般数学模型的框架中，讨论了所提出方法的构建。首先，我们通过添加维度类型的免费参数来概括此方法。然后，我们处理免费参数的优化问题。根据该顺序，基于众所周知的粒子群优化（PSO）算法，我们开发了多维双曲线PSO算法。它专门为有关理性转换而设计。结果，该系统及其维度在此过程中被动态优化。主要动机是提高适应性，同时保持计算复杂性可管理。我们注意到，所提出的方法具有一般性质。作为案例研究，讨论了心电图（ECG）信号压缩的问题。通过对Physionet Mit-BIH心律失常数据库进行的比较测试，我们证明了我们的方法的表现优于其他转换技术。
In this paper we develop an adaptive transform-domain technique based on rational function systems. It is of general importance in several areas of signal theory, including filter design, transfer function approximation, system identification, control theory etc. The construction of the proposed method is discussed in the framework of a general mathematical model called variable projection. First we generalize this method by adding dimension type free parameters. Then we deal with the optimization problem of the free parameters. To this order, based on the well-known particle swarm optimization (PSO) algorithm, we develop the multi-dimensional hyperbolic PSO algorithm. It is designed especially for the rational transforms in question. As a result, the system along with its dimension is dynamically optimized during the process. The main motivation was to increase the adaptivity while keeping the computational complexity manageable. We note that the proposed method is of general nature. As a case study the problem of electrocardiogram (ECG) signal compression is discussed. By means of comparison tests performed on the PhysioNet MIT-BIH Arrhythmia database we demonstrate that our method outperforms other transformation techniques.
