A. V. Bogoslovskiy, I. V. Zhigulina, V. A. Yakovlev

Double differences phase-power and power spectra allow confidently define an object motion even on noisy images. In this paper double differences models of phase-power and power spectra are observed in ideal case, i.e. for object of constant luminance on a homogeneous background. It is shown that double differences properties essentially depend on a setting to zero method of image peripheral parts, and also from a location and length of moving object. Two methods of setting to zero of pixels of the image - even and odd are working in. An object location is also characterized by even or odd distance from edge of a line (column) in pixels. An object can also contain even or odd quantity of pixels. In total 8 various alternatives of combinations evenness-oddness are as possible. In 6 from them there are peculiar lines containing the greatest and least values of double differences magnitudes. It is convenient for the images analysis automatic systems construction. Generally it is suggested to use simultaneously even and odd setting to zero and to analyze two aspects of characteristics. Thus motion automatic identification is always possible.