Studentized filter of time-frequency analysis and synthesis of the signals

Bogdan Semenov, I. Shelevytsky
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Abstract

Non-linear filter with studentized coefficients of time-frequency decomposition and signal reconstruction is described. The main feature of time-frequency decomposition is least squares estimation of spline fragments of different scales. Filter performs selection of statistically significant components of time-frequency decomposition taking into account local variance of residuals. The main advantage is that it filters fragments of white noise from the signal.
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学生滤波器对信号进行时频分析与合成
描述了具有时频分解系数和信号重构系数的非线性滤波器。时频分解的主要特点是对不同尺度的样条片段进行最小二乘估计。滤波器考虑残差的局部方差,选择时频分解中具有统计意义的分量。它的主要优点是能过滤掉信号中的白噪声碎片。
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