Open AccessResolving phase measurement ambiguity in presence of coloured noise
Author(s) -
Li Wenchao,
Wang Xuezhi,
Wang Xinmin,
Moran Bill
Publication year - 2013
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2013.1209
Subject(s) - ambiguity , algorithm , phase noise , noise measurement , noise (video) , lattice (music) , scalar (mathematics) , phase (matter) , computer science , mathematics , acoustics , optics , physics , noise reduction , artificial intelligence , geometry , quantum mechanics , image (mathematics) , programming language
Recovering a distance from ambiguous phase measurements observed at multiple signal frequencies involves the estimation of both integer and scalar quantities simultaneously. The problem is optimally addressed by existing methods only when the measurement noise is IID. A noise ‘whitening’ procedure is derived with a least‐square estimation structure inherent to the Lattice method proposed previously which thus extends this Lattice‐based algorithm to cope with coloured phase measurement noise in an optimal manner demonstrated via simulation.