LOCALLY MONOTONE ROBUST APPROXIMATION OF SEQUENCES

[摘要] The study of nonlinear smoothers for the removal of impulsive noise in a sequence leads to the problem of the unique and stable allocation of a particular root to a given noise-corrupted sequence. An established procedure is iteration of a median smoother till convergence. This process is neither well defined, nor well posed. Recursive smoothing, used to circumvent these intuitively perceived problems, is not satisfactory either. Simple equivalent smoothing operators exist that allocate a class of sequences that are roots of the median smoother, as well as a whole collection of equivalent smoothers. This class is an interval in the usual lattice on sequences. The allocation is well defined and well posed, and blends into the framework of interval arithmetic.

[发布日期] 1991-09-24

[关键词] NONLINEAR;SMOOTHERS;IMPULSIVE NOISE;MEDIANS;ROOTS;IDEMPOTENT