Mathematical base of technology of tactile feedback in devices with the touch screen

Object of research are devices with the touch screen. It is impossible to feel volume on the flat screen. On the touch screen there is no feedback. As a result low productivity and is a lot of mistakes. The author suggests to raise screen fluctuations at a touch to it. Fluctuations are perpendicular the screen planes. The amplitude of fluctuations is proportional to depth of the image. Images can be any or buttons, keys, levers. The technology will allow to carry out the functions to the operator in difficult conditions. The technology of creation of volume easily is realized in devices with dynamic initiation of fluctuations. A parametric synthesis of tactile touch screen in the frequency spectra has been described. The synthesis is based on the frequency separation of free oscillations from the regions of forced oscillations. An algorithm of parameter selection has been presented. The algorithm is based on characteristics of logarithmic derivative function. Properties of a logarithmic derivative are investigated. The solution of the algorithm which is presented does not require calculation of the characteristic polynomial roots of the linear model of the tactile touch screen.