@inproceedings{4ab66ae63adc46b487b9a06c80209e15,
title = "The quaternion least mean magnitude phase adaptive filtering algorithm",
abstract = "Quaternion-valued adaptive filters based on the mean square error (MSE) criterion have been extensively studied in recent years. However, the MSE cost function has only one degree of freedom, and to circumvent this problem, we propose another criterion which enables separate control of the magnitude and phase. Next, a quaternion least mean magnitude phase (QLMMP) filtering algorithm is introduced and is shown to provide a unified form for the quaternion least mean square (QLMS) algorithm, a magnitude-only filtering algorithm, and a phase filtering algorithm. The convergence analysis of the normalised version of the QLMMP employs a connection to the normalised QLMS with a quaternion-valued stepsize. The proposed algorithms are validated over case studies of the identification in three-phase power systems.",
keywords = "Quaternions, adaptive filtering, convergence analysis, magnitude, phase",
author = "Min Xiang and Douglas, \{Scott C.\} and Mandic, \{Danilo P.\}",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 22nd International Conference on Digital Signal Processing, DSP 2017 ; Conference date: 23-08-2017 Through 25-08-2017",
year = "2017",
month = nov,
day = "3",
doi = "10.1109/ICDSP.2017.8096079",
language = "英语",
series = "International Conference on Digital Signal Processing, DSP",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2017 22nd International Conference on Digital Signal Processing, DSP 2017",
address = "美国",
}