Statistical Synthesis and Analysis of Optimal Direction Finding Algorithms

The paper demonstrates an example of applying the theory of statistical optimization to the processing of functionally-determined signals in a dual-antenna amplitude radio direction finder. Two optimal measurement algorithms are synthesized for angular coordinate measurements and their fundamental mathematical operations are analyzed. In the first algorithm, the primary operation involves subtracting powers measured in different channels, while in the second algorithm, the division of these powers is performed. Consistent with the existing theory of signal processing optimization, Fisher matrices are defined, and analytical expressions for the boundary errors of angular coordinate measurements are computed.