Denoising MEMS accelerometer sensors based on L2-norm total variation algorithm

A method for denoising accelerometer data based on the L2-norm total variation (LTV) algorithm is presented. In order to collect accelerometer data, a wireless accelerometer sensor was developed that is directly connected to a central node. By benefiting from the LTV algorithm, the obtained signals from the accelerometer are denoised. The proposed method is tested by denoising in different accelerometer signals and the results are evaluated by signal-to-noise ratio and power spectral density functions of the signals. The obtained results reveal that noise reduction has been implemented satisfactorily. Hence, the measurement accuracy of accelerometer signals for the proposed method have improved ~4-10% than other the three low-pass filters including Savitzky-Golay, equiripple-pass-band and Butterworth.

[1]  Wu-Sheng Lu Design of stable IIR digital filters with equiripple passbands and peak-constrained least-squares stopbands , 1999 .

[2]  Tony F. Chan,et al.  Aspects of Total Variation Regularized L[sup 1] Function Approximation , 2005, SIAM J. Appl. Math..

[3]  Minli Yao,et al.  De-noising MEMS inertial sensors for low-cost vehicular attitude estimation based on singular spectrum analysis and independent component analysis , 2013 .

[4]  Ronald W. Schafer,et al.  What Is a Savitzky-Golay Filter? [Lecture Notes] , 2011, IEEE Signal Processing Magazine.

[5]  Jiankang Wu,et al.  Multi-model adaptation for thigh movement estimation using accelerometers , 2011 .

[6]  Yin Zhang,et al.  An efficient augmented Lagrangian method with applications to total variation minimization , 2013, Computational Optimization and Applications.

[7]  Li Zhongshen The Design of Butterworth Lowpass Filter Based on MATLAB , 2003 .

[8]  Hamidreza Memarzadeh-Tehran,et al.  A Patient-Centric Sensory System for In-Home Rehabilitation , 2017, IEEE Sensors Journal.

[9]  Cezary Kownacki,et al.  Optimization approach to adapt Kalman filters for the real-time application of accelerometer and gyroscope signals' filtering , 2011, Digit. Signal Process..

[10]  Andrea Manes,et al.  Digital filtering of acceleration data acquired during the intervention of a lift safety gears , 2010 .

[11]  A. Nikfarjam,et al.  A mini wearable wireless sensor for rehabilitation applications , 2015, 2015 3rd RSI International Conference on Robotics and Mechatronics (ICROM).

[12]  Jyoti K. Sinha,et al.  A typical filter design to improve the measured signals from MEMS accelerometer , 2010 .