MULTI-RESOLUTION ANALYSIS OF NON-UNIFORM DATA WITH JUMP DISCONTINUITIES AND IMPULSIVE NOISE USING ROBUST LOCAL POLYNOMIAL REGRESSION

机译：使用稳健的局部多项式回归的跳转不连续性的非统一数据的多分辨率分析和脉冲噪声

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This paper proposes a new method for performing multiresolution analysis (MRA) of non-uniform data with jump discontinuities and impulsive noise using robust M-estimator-based local polynomial regression (LPR). The basic idea is to interpolate the smoothed estimate, after performing the robust LPR, on a uniform grid in order to perform the MRA using the ordinary wavelet transform. Simulation results show that the new approach performs better than traditional LS-based LPR in preserving jump discontinuities and suppressing isolated impulses when the intersection confident intervals (ICI) bandwidth selection is employed.

机译：本文提出了一种使用鲁棒M估计的本地多项式回归（LPR）进行跳跃不连续性和脉冲噪声的非统一数据的多分辨率分析（MRA）的新方法。基本思想是在执行稳健的LPR之后在统一网格上进行平滑估计，以便使用普通小波变换来执行MRA。仿真结果表明，当采用交叉路口（ICI）带宽选择时，新方法比在保存跳转不连续性的基于传统LS的LPR方面表现优于传统的LS的LPR。

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《IEEE International Conference on Acoustics, Speech, and Signal Processing》|2004年||共4页
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Shing-Chow Chan; Zhiguo Zhang;
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中图分类 TN912-53;
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1. On Bandwidth Selection in Local Polynomial Regression Analysis and Its Application to Multi-resolution Analysis of Non-uniform Data [J] . Z. G. Zhang, S. C. Chan, K. L. Ho, Journal of VLSI signal processing systems for signal, image, and video technology . 2008,第3期

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3. Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises [J] . Zhang Yu, Wang Cheng International journal of systems science . 2015,第9a12期

机译：具离散噪声的不确定离散脉冲马尔可夫跳跃时滞系统的鲁棒随机稳定性
4. MULTI-RESOLUTION ANALYSIS OF NON-UNIFORM DATA WITH JUMP DISCONTINUITIES AND IMPULSIVE NOISE USING ROBUST LOCAL POLYNOMIAL REGRESSION [C] . Shing-Chow Chan, Zhiguo Zhang IEEE International Conference on Acoustics, Speech, and Signal Processing . 2004

机译：使用稳健的局部多项式回归的跳转不连续性的非统一数据的多分辨率分析和脉冲噪声
5. On nonparametric estimation and inference with censored data, bandwidth selection for local polynomial regression, and subset selection in explanatory regression analyses [D] . Peterson, Derick Randall. 1998

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机译：使用鲁棒局部多项式回归对具有跳跃不连续性和脉冲噪声的非均匀数据进行多分辨率分析

MULTI-RESOLUTION ANALYSIS OF NON-UNIFORM DATA WITH JUMP DISCONTINUITIES AND IMPULSIVE NOISE USING ROBUST LOCAL POLYNOMIAL REGRESSION

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