Theoretical principles for dynamic errors measurement

Dynamic measuring methods: a review

“…This approach is useful for the analysis of dynamic errors when signals of the known form are measured. [7] presents the expressions of the dynamic errors of the measuring system used when periodic square impulse and trapezoidal wave signals are measured. The transition function ℎ( ) is used here as a characteristic of the dynamic properties of the measuring system.…”

Radial Basis Functions Intended to Determine the Upper Bound of Absolute Dynamic Error at the Output of Voltage-Mode Accelerometers

“…For those quantities, no explicit comparative criterion [9] has been developed so far, as is the case with the accuracy class of the instruments intended for static measurements [10,11]. When measuring acceleration, as is the case with other dynamic quantities [12,13,14,15], it is convenient to use the two best-known quality factors: The integral-square error [9,16,17] and the absolute error [12]. The first factor, for the assumed time of testing, allows one to determine the value of signal energy at the output of the sensor, while the second factor measures the maximum value of magnitude of this signal.…”

“…The first factor, for the assumed time of testing, allows one to determine the value of signal energy at the output of the sensor, while the second factor measures the maximum value of magnitude of this signal. However, both of these factors allow the determination of the numerical values of dynamic error for any measurement signal [9,12,13,14,15,17,18,19]. After the time corresponding to the time of the steady state of the sensor impulse response, the time characteristic of the integral-square error is linear [16,19], while the absolute error takes a constant value in time [12,18].…”

“…Since the set of dynamic signals at the sensor input is infinite [9], in order to determine the upper bound of dynamic error [9,12,13,14] for the considered quality factor, the critical case of the input signal with limitations [20] should be determined. It can be carried out using the dedicated calculation algorithm intended for this purpose [12,13,14,15,18,19]. For the needs of such an algorithm, it is necessary to know the parameters of the mathematical model [2,3,4] of the considered sensor.…”

“…For the needs of such an algorithm, it is necessary to know the parameters of the mathematical model [2,3,4] of the considered sensor. Taking into account that from a practical point of view, only the error for the sensor’s operating band is of interest for the purposes of implementing such an algorithm, it is necessary to use the special standard as a reference to determine the error [9,12,21].…”