基于多阈值处理的信号 多尺度估计算法
AMultiscale EstimationMethod of Signal Based onMultiple Threshold Processing
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摘要: 给出了一种基于多阈值处理的信号多尺度估计算法。首先对原始测量进行多尺度小波分解,得出各尺 度上的平滑信号和细节信号。对各尺度上的细节信号再作进一步的小波分解,对分解出的次平滑信号和次细节 信号进行不同的阈值处理,然后重构,作为相应尺度上的细节信号。最后对最粗尺度上的平滑信号作卡尔曼滤 波,再依次与各尺度上的细节信号进行重构,最后得到原始尺度上的信号估计值。Abstract: A multiscale estimation method of signal based on multiple threshold processing is presented. First, the original measurement signal is decomposed with multiscale wavelet transform. Then the detail signals on each scale are further decomposed into sub-detail signals and sub-smoothing signals which are processedwith different thresholds respectively. The smoothing signals on the coarsest scale are processed with Kalman filtering and reconstructed with the detail signal on each scale. At last, the signal estimate value on the original scale is obtained.
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Key words:
- signals /
- estimations /
- multiscale analysis /
- discrete wavelet transform
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