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J. Zakrzewski
THE ANALOG SIGNAL PROCESSING IN MEASURING SYSTEMS WITH A SINGLE PASSIVE SENSOR

The quality of a measuring system depends more and more on the first stages of the measuring chain i.e. the sensor and the primary signal conditioning circuit. The use of a high resolution A/D converter at the very beginning of that chain is generally correct. In practice however, sensors are mainly analogue and they need some analogue signal conditioning circuits. The paper deals with the analogue signal processing in the circuits with a single passive sensor. Uncertainty, error elimination and a nonlinearity of some essential structures have been analysed. The general conclusions may be formulated as follows: Extremely simple methods of analogue signal processing lead to quite good results but some limitations have to be respected. The passive sensor parameter which determines almost all limitations is the ratio ÄRX / R0.

M. Woloszyk, M.T. Galewski
NOISE ERROR OF PARTICULAR SAMPLING METHOD

The paper presents one of errors of particular sampling method. The method basis on taking samples at particular time moments which enables us to calculate the value of chosen harmonic component in vector form. Additive and multiplicative noises have been analysed and averaging influence on the final result as well.

T. Szafranski, P. Sprzeczak, R.Z. Morawski
AN ALGORITHM FOR SPECTROMETRIC DATA CORRECTION WITH BUILT-IN ESTIMATION OF UNCERTAINTY

Practical usefulness of the result of spectrometric data correction depends considerably on how precise its uncertainty is assessed. If the algorithm used for correction is linear with respect to the data and all intermediate results of computation, and if it does not use the data or intermediate results of computation more than once, then the linear propagation of uncertainties represented by intervals, executed step by step for each operation, yields a satisfactory estimate of the measurement uncertainty. Otherwise, a tendency to overestimate the uncertainty appears. An effective interval-based method for dealing with this problem in weakly non-linear algorithms has been recently proposed by the authors. In this paper, it is implemented in a new algorithm for spectrometric data correction. Computational efficiency of this algorithm is demonstrated using synthetic spectrometric data.

K.-D. Sommer, M. Kochsiek, W. Schulz
ERROR LIMITS AND MEASUREMENT UNCERTAINTY IN LEGAL METROLOGY

Quality statements for calibrated measuring instruments give the systematic error and the uncertainty of measurement at the moment of calibration. In contrast to this, the statement of conformity for verified measuring instruments indicates whether or not the error limits on verification specified by law are exceeded. The conformity assessment is based on the result of a previous calibration. The calibration uncertainty thus becomes an uncertainty of conformity decision. There is, therefore, a certain risk for the manufacturer that acceptable instruments might be rejected. The probability of this is calculated from the uncertainty of measurement and the spread of the errors of measurement of the measuring instrument population to be tested. For the instrument user the maximum permissible error in service applies. There is, therefore, practically no risk, in the sense that no measured value – even allowing for the measurement uncertainty – will be outside this tolerance band.

G. Smolalski
KNOWLEDGE - BASED EVALUATION OF THE SIGNAL PARAMETER

The main problems related with taking into account the a priori knowledge about the measured signal have been outlined. Then two examples have been presented, showing how the knowledge about one signal parameter narrows down the uncertainty about the other one. Firstly, bounding curves for the meansquare value when the mean value is known have been examined and some practical conclusions concerning single and multiple signal rectification have been presented. Then the mean value uncertainty for a given signal bandwidth has been studied.

G. B. Rossi, F. Crenna
METROLOGY SOFTWARE FOR EXPRESSING UNCERTAINTY BY PROBABILITY DENSITIES

The paper addresses development of metrology software for the evaluation and expression of measurement uncertainty. It is based on representing measurement results as a probability density over allowable values of the measurand. The architecture of a general code aiming at the treatment of any kind of measurement transformation is discussed and a first core module is presented, concerning linear time invariant processes. The output of the program is a probability density, which is calculated on the basis of available information, without using simulation. Standard and expanded uncertainty may be calculated at any required coverage level. Results are more accurate than provided by the Welch-Satterwaite method suggested in the GUM.

R. Palencar, M. Halaj, V. Chudy
CALIBRATION OF MATRIX SENSOR ARRAYS

The contribution deals with evaluation of uncertainties in the process of calibration of multicomponent sensors with special aim to force matrix sensor arrays. Matrix sensors are designed for simultaneous measurement of acting forces. It is used in applications in which sensing of varying forces acting in an area is needed (e.g. in robotics, telemanipulating devices, medical applications). Model for calibration of matrix sensor arrays and the methodology for uncertainties and covariances calculation is submitted. The base is regress polynomial model of calibration. The result is estimation of model parameters and covariance matrix of those estimators. Considered are all uncertainties and covariances, resulting from measuring standard device, transmission of values from measuring standard to sensor, repeating of values by calibrating sensor. The most important characteristics of current stateof- art in this field is absence of unique procedures used for objective matrix sensor arrays evaluation and testing.

R. Palencar, E. Kurekova
ESTIMATION OF UNCERTAINTIES IN THE DISTANCE SENSOR CALIBRATION

Calibration of the ultrasonic distance sensor is described in the paper. Measuring range of the sensor is 100 - 600 mm. Design scheme of the calibrating device is presented. The calibrating device utilises gauge blocks as a standard. Nonlinear mathematical model of the calibration is presented. Matrix method for the unknown parameters estimation is described. Analysis of the type A and type B sources of the uncertainties is given as well as their evaluation.

K. Nozdrzykowski, B. KuŸniewski
ESTIMATION OF ERRORS FOR THE GEOMETRIC DEVIATIONS

In the article there has been presented the methodology of working out results of mutually coupled measurements of shape deviations and axis location of large engine elements carried out by non-referential methods. There has also been presented a way of estimating measurement errors of shape deviations and axis location deviations of cylindrical outer and inner area complexes.

K. Nahrstedt, J. Bajcsy
UNCERTAINTIES OF SCHEDULING SYSTEM FOR MULTIMEDIA

Processing of multimedia applications in digital computing environments requires support of qualities, such as low jitter between video frames, known from current television or radio. This is especially difficult in these environments due to various noises coming from the hardware and software.
In this paper we present (1) a novel scheduling software system for multimedia applications, (2) the measurement of quality parameters (e.g., skews, jitters) that are important for multimedia applications; and (3) evaluation of these measurements using uncertainties.
Our Dynamic Soft Real Time scheduling software system(DSRT) allows us to minimize the noises and to guarantee desired quality of service (QoS) for multimedia applications. We measure the quality of multimedia applications running under the classical time sharing scheduling system and the DSRT system. Evaluation of these measurements is performed using metrological evaluation methods. These methods allow us to quantify the improvements of the DSRT system using uncertainties and to optimize its performance.

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