Phase Estimation of a Single Quasi-periodic Signal
Phase Estimation of a Single Quasi-periodic Signal
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单个准周期信号的相位估计
DOI：
10.1109/tsp.2014.2306174
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
and Y. Yagi,
中科院分区：
文献类型：
--
作者：
Y. Makihara;M.R. Aqmar;T.T. Ngo;H. Nagahara;R. Sagawa;Y. Mukaigawa;and Y. Yagi,
我们提出了一种用于单个非参数准周期信号的相位估计的方法。假设同一相位的样本之间的信号强度应该相等，则通过准周期信号和应用了多周期移位的信号之间的自动态时间扭曲来获得这样的对应样本。然后使用优化框架以子采样顺序估计相序列，该优化框架结合了 1) 从对应关系导出的数据项和 2) 3) 相位单调递增约束下的局部相位演化的平滑项。然而，由于相位演化和归一化周期信号之间的组合模糊性，这种相位估计是不适定的，因此可能导致有偏差的解。因此，我们在优化框架 4) 中引入了偏差校正项，它对线性相位演化施加零偏差。对模拟数据和实际数据的准周期信号的分析表明了该方法的有效性和潜在应用。
We propose a method for phase estimation of a single non-parametric quasi-periodic signal. Assuming signal intensities should be equal among samples of the same phase, such corresponding samples are obtained by self-dynamic time warping between a quasi-periodic signal and a signal with multiple-period shifts applied. A phase sequence is then estimated in a sub-sampling order using an optimization framework incorporating 1) a data term derived from the correspondences and 2) a smoothness term of the local phase evolution under 3) a monotonic-increasing constraint on the phase. Such a phase estimation is, however, ill-posed because of combination ambiguity between the phase evolution and the normalized periodic signal, and hence can result in a biased solution. Therefore, we introduce into the optimization framework 4) a bias correction term, which imposes zero-bias from the linear phase evolution. Analysis of the quasi-periodic signals from both simulated and real data indicate the effectiveness and also potential applications of the proposed method.