Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TSP.2014.2306174 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
dynamic time warping,optimization,frequency modulation,phase | Linear phase,Periodic function,Mathematical optimization,Normalization (statistics),Dynamic time warping,Group delay and phase delay,Phase distortion,Smoothness,Ambiguity,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 8 | 1053-587X |
Citations | PageRank | References |
2 | 0.36 | 0 |
Authors | ||
7 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yasushi Makihara | 1 | 1012 | 70.67 |
| Muhammad Rasyid Aqmar | 2 | 26 | 1.83 |
| Trung Ngo Thanh | 3 | 107 | 10.57 |
| Nagahara Hajime | 4 | 445 | 50.66 |
| Ryusuke Sagawa | 5 | 631 | 52.61 |
| Yasuhiro Mukaigawa | 6 | 478 | 53.31 |
| Yasushi Yagi | 7 | 1752 | 186.22 |