Polikarovskih O. Development of the theory and technique of phase transformations in digital computing frequency synthesizer

3. The purpose of the work is to develop the theory and technique of phase transformations in digital computing frequency synthesizer by applying nonpositional number system to solve the problem of simultaneous increasing of the frequency range, accuracy and rate of synthesis of radio frequencies. The object of research is the process of synthesis of digital radio signals with the specified characteristics. The subject of research are digital computers phase frequency synthesis methods and means of radio signals with the specified characteristics. Research methods are determined by a set of tasks and based on the use of the mathematical apparatus of the theory of signals (for the analysis of the spectra of output signals based on synthesizers nonpositional number systems), the mathematical theory (for the study of the parameters of the phase accumulators nonpositional notation), the theory of digital machines (for the study of the properties of phase Batteries based on modular adders and Galois adders), as well as methods of simulation of digital circuits (for modeling DDS two-level and multi-signal). The theory of experimental design, measurement theory and the theory of errors (in conducting experimental studies in DDS). Scientific novelty of the results is as follows: For the first time the method of construction of direct digital frequency synthesizer with a phase accumulator, characterized by the use of new theoretical and numerical bases with no problem the propagation delay of signals transfer from one digit code word frequency and phase is worked out. For the first time a method of applying modular adders as the phase of construction of batteries for direct digital frequency synthesizer with minimum delay synthesized signals, increasing accuracy and noise performance, in contrast to classical DDS the phase accumulator based on a binary basis Rademacher is proposed. For the first time a method of applying a Galois basis for improving the performance of direct digital frequency synthesizer was proposed. The structures of the phase accumulators in the Galois codes for the two-level multi-level and frequency synthesis and signal processing. First a combined method of approximation of a harmonic signal DDS Taylor series and CORDIC is proposed.. It is proposed to use the separation of the phase angle and pipelining CORDIC, which reduced significantly the delay of the output of the synthesized signal, resulting in synthesizers with traditional architecture.