A new noise-reduction filter with sliding mode and low-pass filtering

This paper presents two contributions in the development of filters for removing high frequency noise. First, three variants of Jin et al.'s (2012) parabolic sliding mode filter (J-PSMF) are derived and their frequency-response characteristics are investigated. Second, a new filter was proposed by combining a second order low-pass filter and one of the variants of J-PSMF. The effectiveness of the proposed filter is validated by using a sample signal of angular velocity obtained with an optical encoder. In particular, it is suggested that the proposed filter has better balance between the noise attenuation and signal preservation than linear low-pass filters and J-PSMF.