Structural theory of opto- and laser-electronic systems. Part 9. Classification factor-categories F-CAT for optical signals

Practical application for model images of structural theory for optical signal description, is considered. The examples of structural classification factor-categories F-CAT on signal sub-areas based on the notion of signal kind as a kind of symmetry of signal sub-area, are given. This notion was introduced within the framework of a factorized group structural model of the signal transformation process (STP). Additive factor-categories of regular and arbitrary signals, and amplitude-phase multiplicative factor-category of indicator signals, are constructed. In such interpretation the procedures can be carried out on formal language of the group theory describing the symmetry of STP, that can not be done on other languages (for instance, addition or multiplication of signal types). So it is possible to get new information about STP structure.