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PL
Artykuł przedstawia nową metodę wykrywania zmian w położeniu ludzkiego ciała, w szczególności upadków, na podstawie sygnałów odczytywanych z czujników umieszczonych na monitorowanej osobie. Przekształcenie sekwencji danych zebranych z czujników pozwala odróżnić upadek od normalnego ruchu. Opracowana metoda może być stosowana w domowych systemach nadzoru i opieki telemedycznej.
EN
This paper presents new method to detect abrupt changes in the position of the human body, in particular falling, based on the signals acquired from sensors placed on the monitored person. The transformation of data sequence collected from sensors allows to distinguish between fall and normal movement. The method can be used in domestic telemedic systems.
EN
The kinematic orbit is a time series of position vectors generally obtained from GPS observations. Velocity vector is required for satellite gravimetry application. It cannot directly be observed and should be numerically determined from position vectors. Numerical differentiation is usually employed for a satellite’s velocity, and acceleration determination. However, noise amplification is the single obstacle to the numerical differentiation. As an alternative, velocity vector is considered as a part of the state vector and is determined using the Kalman filter method. In this study, velocity vector is computed using the numerical differentiation (e.g., 9-point Newton interpolation scheme) and Kalman filtering for the GRACE twin satellites. The numerical results show that Kalman filtering yields more accurate results than numerical differentiation when they are compared with the intersatellite range-rate measurements.
EN
This paper presents a new method for detection of changes in alignment of the human body, particularly the fall, on the basis of signals acquired from the position sensors placed on the body of the monitored person. The sensors are located on the cuffs, waist and chest. Transformation of data sequence collected from sensors is proposed in order to best distinguish between the collapse from the normal movement. It is based on nonlinear combination of the first two derivatives of the signals being read. Because data from the sensors is sent asynchronously, a numerical algorithm for unevenly sampled data differentiation is proposed. Derivative values are calculated in equidistant nodes through differentiation of a polynomial, which is adjusted by minimizing the mean square error. The developed method can be used in home care telemedicine systems, where it is necessary to long term monitor of multiple vital parameters of people under care.
4
EN
Zinc (II) removal using low-cost sorbents requires a proper process parametric study to determine its optimal performance characteristics. In this respect, the present study proposes a new modeling and simulation procedure for heavy metal removal system and is carried out to optimize input variables such as initial pH, adsorbent dosage, and contact time for biosorption of Zinc (II) by using bentonite. The proposed experimental system is cost-effective and requires less calculation for determining optimal values, i.e., input variables and their related removal capacity, R_em%. To optimize the adsorption process, cubic spline curve fitting and numerical differentiation techniques are used for required calculations. According to the proposed calculations, the removal capacity is calculated as 98.66%, while the optimal values are calculated as initial pH – 6.76, adsorbent dosage – 1.14 g L-1, contact time – 13 minutes. To evaluate the results, full factor experimental design and 3 way ANOVA test are used for comparison.
PL
Przedstawiono sposób obliczania strumienia permeatu w badaniach kinetyki inikrofiltriicji z zastosowaniem metody Wiechowskiego do różniczkowania numerycznego z jednoczesnym wygładzaniem. Otrzymane wyniki porównano z rezultatami uzyskanymi z wykorzystaniem wzorów interpolacyjnych Lagrange'a oraz metody Savitzky'ego-Golay 'a.
EN
Calculations of permeate flux during investigations of microfiltration kinetics by applying Wieckowski's method of numerical differentiation with simultaneous, smoothing is presented in the paper. The results obtained were compared with those calculated using the Lagrange interpolation formula and Savitzky-Golay method.
6
Content available remote A Numerical Algorithm for Filtering and State Observation
EN
This paper deals with a numerical method for data fitting and estimation of continuous higher-order derivatives of a given signal from its non-exactsampled data. The proposed algorithm is a generalization of the algorithm proposed by Reinsch (1967). This algorithm is conceived as a key element in the structure of the numerical observer discussed in our recent papers. Satisfactory results are obtained which prove the efficiency of the proposed approach.
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