MODELS OF BIAS OF MEAN SQUARE VALUE DIGITAL ESTIMATOR FOR SELECTED DETERMINISTIC AND RANDOM SIGNALS
Journal Title: Metrology and Measurement Systems - Year 2008, Vol 15, Issue 1
Abstract
The article presents the probability density functions as well as characteristic functions of selected periodic and random signals. On their basis, original models of the bias of the mean square value digital estimator have been designed. These models were employed in investigating estimation errors caused by analog to digital conversion and analog to digital conversion with a dither signal. Selected graphical model representations and their analyses are demonstrated. It has been shown that for a triangular probability density function random signal with the amplitude At = kq, k∈N {0}, mean square value reconstruction occurs on the basis of a signal quantized with the accuracy of Sheppard's correction. Whereas for periodic signals as well as for the sum of periodic and random signals, the δ component of bias due to the nonsatisfaction of the reconstruction condition is a suppressed oscillating function of the quotient of the amplitude A and the quantization step size q. It has been proved that by adding, prior to quantization, a triangular distribution random signal with zero mean and the amplitude At = kq (k = 1, 2, ...) in the mean square value measurement of any periodic signal, this bias component can be brought to zero.
Authors and Affiliations
JADWIGA LAL-JADZIAK, SERGIUSZ SIENKOWSKI
Keywords
Related Articles
- EP ID EP118656
- DOI -
- Views 88
- Downloads 0
IMAGE PROCESSING SYSTEM PROPOSED TO BE APPLIED IN A GASTROSCOPIC LABORATORY
The article presents a way to integrate an endoscope with computer equipment. Software has been proposed to archive and access results of endoscopic tests. The data can be accessed at the hospital area and from outside i...
SPECIFIC MASS FLOW RATE MEASUREMENTS IN A PULSATING FLOW OF GAS
The method of measurement of the specific mass flow rate in a pulsating flow by means of the Constant Temperature Anemometer (CTA) has been described. Special attention has been paid to the probe calibration problem. Dif...
METHOD OF PROCESSING ACCURACY ENHANCEMENT OF PHOTOELECTRIC POSITION TRANSDUCER SIGNALS
A method and the system for accuracy enhancement and motion direction discrimination of the photoelectric position transducer have been presented in the paper. In the system sinusoidal phase voltages, with the assumed ph...
CONDUCTANCE QUANTIZATION IN FERROMAGNETIC CO NANOWIRES
Room temperature electronic transport properties of ferromagnetic quantum wires have not been yet fully understood, and the role of electronic structure of magnetic atoms in the conductance quantization is still under di...
NANO-POROUS ALUMINA HUMIDITY SENSORS
In this paper the details of porous alumina humidity sensors fabricated using anodic aluminium oxidation are presented. The main aim of this study is to establish relations between technological process parameters and el...