scholarly journals Noise Reduction Algorithm Based on Complex Wavelet Transform of Digital Gamma Ray Spectroscopy

2015 ◽  
Author(s):  
Mohamed S. El_Tokhy ◽  
Imbaby I. Mahmoud
Keyword(s):  
Wavelet Transform ◽  
Noise Reduction ◽  
Gamma Ray ◽  
Reduction Algorithm ◽  
Complex Wavelet Transform ◽  
Gamma Ray Spectroscopy ◽  
Complex Wavelet ◽  
Noise Reduction Algorithm

A Novel Noise Reduction Algorithm of MEMS Gyroscope Based on Compressive Sensing and Lifting Wavelet Transform

2014 ◽  
Vol 609-610 ◽  
pp. 1138-1143 ◽  
Author(s):  
Wen Jie Zhu ◽  
Guang Long Wang ◽  
Zhong Tao Qiao ◽  
Feng Qi Gao
Keyword(s):  
Wavelet Transform ◽  
Compressive Sensing ◽  
Noise Reduction ◽  
Reduction Algorithm ◽  
Lifting Wavelet Transform ◽  
Mems Gyroscope ◽  
Time Frequency ◽  
Time Consumption ◽  
Lifting Wavelet ◽  
Noise Reduction Algorithm

A novel noise reduction algorithm combined with compressive sensing (CS) and lifting wavelet transform (LWT) is proposed in this paper. This algorithm can overcome the limitations of traditional noise reduction methods based on Kalman filtering and wavelet threshold filtering. The characteristics of wavelet time-frequency distribution of the microelectromechanical system (MEMS) gyroscope are discussed to illustrate the demerit of the classical filtering methods. Noise reduction algorithm of MEMS gyroscope signal is studied in detail by combining CS theory with lifting wavelet transform. De-noising effect, time-consumption of computation as well as traditional CS reconstruction algorithms are analyzed. The results show that the signal reconstruction algorithm of conventional matching pursuit (MP) greedy algorithms contains more glitches and computation time-consumption, the basis pursuit de-noising (BPDN) algorithm is better and it has advantages of high computational efficiency and ease of implementation.

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