Overviewed conceptual basis for development frequency dividers and disadvantages of standard decisions were analyzed. A high-speed with variable division ratio and minimum phase shift of output signal against input signal, which forms output square waves, is presented in the article.
New analytical dependences were established for golden chopping and for polynomials with infinite number of members. It is shown how we can determine analytically infinite polynomial in which the argument is the golden chopping using a Taylor’s series. The expressions for calculating these polynomials in which the coefficients are numbers in the Fibonacci’s series are displayed.