Theoretical Evaluation of the Probability Density Function of Color Coordinates in On-Board Indication Equipment

I. O. Zharinov, Associate Professor, e-mail: igor_rabota@pisem.net, Chief of Department, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (University ITMO), Chief of Learning-Scientists Center, SPb Scientific Design Bureau "Electroavtomatica" n. a. P. A. Efimov, O. O. Zharinov, Associate Professor, Saint-Petersburg State University of Aerospace Equipment

The problem of evaluation of the probability density function of color coordinates that are used to display an image on on-board indication equipment is considered. A statistical approach for characterization of color coordinates distribution is necessary because of existing technological variations of the LCD-panels parameters. It is shown that the probability density function of color coordinates depends upon values of RGB codes, used in the color palette, and in particular cases refers to: uniform distribution, trapezoid-like function, triangle function and piecewise parabolic function. The analytical expressions for the probability density function of color coordinates for each particular type of mathematical models of technological variations and values of the LCD-panel profile coefficients are presented. The theoretical expressions for probability density function of color coordinates are confirmed by mathematical simulation, and the histograms representing the distributions of chromaticity coordinates were obtained during simulation. The result of the research establishes some technical requirements for technological variations of the values of LCD-panel profile coefficients, in order to ensure repeatability of color coordinates in serial manufacturing of LCD-panels.

Keywords: color coordinates, indication systems, probability density function, sum of uniformly distributed random values, Irvin-Hall distibution

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