Practically, for all real measuring devices the result of a measurement is a convolution of an input signal with a hardware function of a unit { \phi}. We call a spline to be { \phi}-interpolating if the convolution of an input signal with a hardware function of a unit { \phi} coincides with the convolution of the spline with the hardware function. In the following article we consider conditions imposed on the hardware function { \phi} under which a second- and third-order { \phi}-interpolating spline exists and is unique. Algorithms of { \phi}-interpolating splines construction are written out.
Categories: physics.data-an