@Article{makihara:tsp:2014,
  author    = {Makihara, Yasushi and Aqmar, Muhammad, Rasyid and Ngo, Trung, Thanh and Nagahara, Hajime and Sagawa, Ryusuke and Mukaigawa, Yasuhiro and Yagi, Yasushi},
  title     = {Phase Estimation of a Single Quasi-Periodic Signal},
  journal   = {IEEE Transactions on Signal Processing},
  year      = {2014},
  volume    = {62},
  number    = {8},
  pages     = {2066--2079},
  month     = {April},
  doi       = {10.1109/TSP.2014.2306174},
  url       = {http://www.am.sanken.osaka-u.ac.jp/\textasciitilde makihara/pdf/tsp\_2014Apr.pdf},
  keywords  = {phase registration, single quasi-periodic signal, dynamic time, short-term period, quasi-periodic signal, regularization term, data term, phase sequence, corresponding sam-ples, normalized autocorrelation, real data, self dtw, sin-gle non-parametric quasi-periodic signal, multiple-period shift, self dy-namic time warping, optimization framework},
  abstract  = {This paper proposes a method for phase registration of a single non-parametric quasi-periodic signal. After a short-term period has been detected for each sample by normalized autocorrelation, Self Dynamic Time Warping (Self DTW) between a quasi-periodic signal and that with multiple-period shifts is applied to obtain corresponding samples of the same phase. A phase sequence is finally estimated by the optimization framework including the data term derived from the correspondences, the regularization term derived from short-term periods, and a monotonic increasing constraint of the phase. Experiments on quasiperiodic signals from both simulated and real data show the effectiveness of the proposed method.},
  publisher = {IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC},
  address   = {445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA}
}