We consider a separation problem where the observation consists of the sum of a high amplitude smooth signal and a low amplitude transient signal. We propose a method for decomposition that relies on solving instances of a ‘constrained filtering problem,’ which is posed as a convex minimization problem. We provide a fast algorithm for solving the minimization problem, and demonstrate the potential of the scheme on a vital signs monitoring experiment using radar.

中文翻译：

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一种平滑/瞬态分解的探索性方法

我们考虑分离问题，其中观测值由高振幅平滑信号和低振幅瞬态信号的总和组成。我们提出了一种分解方法，该方法依赖于解决“约束过滤问题”的实例，该问题被视为凸最小化问题。我们提供了一种解决最小化问题的快速算法，并在使用雷达的生命体征监测实验中证明了该方案的潜力。