Properties of Savitzky–Golay digital differentiators

Luo, Jianwen; Kong, Ying; He, Ping; Bai, Jing

doi:10.1016/j.dsp.2004.09.008

Cited by 209 publications

(109 citation statements)

References 30 publications

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“…In each experiment, an initial velocity is applied to the platform and its displacement with respect to time is measured using a video-tracking technique, shown in Figure 5(a). The results were then used to obtain the mean velocity and acceleration information by calculating the first and second derivatives in which the Savitzky-Golay filters were applied to smooth the data [30]. Figure 5(b) illustrates the experimental data acceleration with respect to velocity.…”

Section: Footpad Drag Coefficient Measurement Resultsmentioning

confidence: 99%

STRIDE II: A Water Strider-inspired Miniature Robot with Circular Footpads

Özcan

Wang

Taylor

et al. 2014

International Journal of Advanced Robotic Systems

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Water strider insects have attracted the attention of many researchers due to their power-efficient and agile water surface locomotion. This study proposes a new water strider insect-inspired robot, called STRIDE II, which uses new circular footpads for high lift, stability and payload capability, and a new elliptical leg rotation mechanism for more efficient water surface propulsion. Using the advantage of scaling effects on surface tension versus buoyancy, similar to water strider insects, this robot uses the repulsive surface tension force on its footpads as the dominant lift principle instead of creating buoyancy by using very skinny (1 mm diameter) circular footpads coated with a superhydrophobic material. The robot and the insect propel quickly and power efficiently on the water surface by the sculling motion of their two side-legs, which never break the water surface completely. This paper proposes models for the lift, drag and propulsion forces and the energy efficiency of the proposed legged robot, and experiments are conducted to verify these models. After optimizing the robot design using the lift models, a maximum lift capacity of 55 grams is achieved using 12 footpads with a 4.2 cm outer diameter, while the robot itself weighs 21.75 grams. For this robot, a propulsion efficiency of 22.3% was measured. The maximum forward and turning speeds of the robot were measured as 71.5 mm/sec and 0.21 rad/sec, respectively. These water strider robots could be used in water surface monitoring, cleaning and analysis in lakes, dams, rivers and the sea.

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Section: Footpad Drag Coefficient Measurement Resultsmentioning

confidence: 99%

STRIDE II: A Water Strider-inspired Miniature Robot with Circular Footpads

Özcan

Wang

Taylor

et al. 2014

International Journal of Advanced Robotic Systems

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“…(7). In other words, a low-pass differentiator is wanted, i.e., a differentiator with a frequency response like H (1)L and that can be thought as a cascade of a low-pass filter H L and the ideal derivative H (1) (Luo et al, 2005;Zuo et al, 2013):…”

Section: Low-pass Filter and First Derivativementioning

confidence: 99%

“…The degree of flatness in the pass band associated with the corresponding low-pass filter (see Sect. 2.1) has to be assessed accordingly (Luo et al, 2005). …”

Section: Appendix A: the Savitzky-golay Filtermentioning

confidence: 99%

Effective resolution concepts for lidar observations

et al. 2015

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Abstract. Since its establishment in 2000, EARLINET (European Aerosol Research Lidar NETwork) has provided, through its database, quantitative aerosol properties, such as aerosol backscatter and aerosol extinction coefficients, the latter only for stations able to retrieve it independently (from Raman or high-spectral-resolution lidars). These coefficients are stored in terms of vertical profiles, and the EARLINET database also includes the details of the range resolution of the vertical profiles. In fact, the algorithms used in the lidar data analysis often alter the spectral content of the data, mainly acting as low-pass filters to reduce the high-frequency noise. Data filtering is described by the digital signal processing (DSP) theory as a convolution sum: each filtered signal output at a given range is the result of a linear combination of several signal input data samples (relative to different ranges from the lidar receiver), and this could be seen as a loss of range resolution of the output signal. Low-pass filtering always introduces distortions in the lidar profile shape. Thus, both the removal of high frequency, i.e., the removal of details up to a certain spatial extension, and the spatial distortion produce a reduction of the range resolution.This paper discusses the determination of the effective resolution (ERes) of the vertical profiles of aerosol properties retrieved from lidar data. Large attention has been dedicated to providing an assessment of the impact of low-pass filtering on the effective range resolution in the retrieval procedure.

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“…We use SavitzkyGolay (SG) filter to smooth the trajectories [13]. The main advantage of this approach is that it tends to preserve features of the distribution such as relative maxima, minima and width, which are usually "flattened" by other averaging techniques (for example, moving average filter) [13].…”

Section: A Trajectory Pre-processing and Features Extractionmentioning

confidence: 99%

Towards Generic Detection of Unusual Events in Video Surveillance

Ivanov

Dufaux

et al. 2009

2009 Sixth IEEE International Conference on Advanced Video and Signal Based Surveillance

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Abstract-In this paper, we consider the challenging problem of unusual event detection in video surveillance systems. The proposed approach makes a step toward generic and automatic detection of unusual events in terms of velocity and acceleration. At first, the moving objects in the scene are detected and tracked. A better representation of moving objects trajectories is then achieved by means of appropriate pre-processing techniques. A supervised Support Vector Machine method is then used to train the system with one or more typical sequences, and the resulting model is then used for testing the proposed method with other typical sequences (different scenes and scenarios). Experimental results are shown to be promising. The presented approach is capable of determining similar unusual events as in the training sequences.

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Properties of Savitzky–Golay digital differentiators

Cited by 209 publications

References 30 publications

STRIDE II: A Water Strider-inspired Miniature Robot with Circular Footpads

STRIDE II: A Water Strider-inspired Miniature Robot with Circular Footpads

Effective resolution concepts for lidar observations

Towards Generic Detection of Unusual Events in Video Surveillance

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