The Design of Optimal Fractional Orders by Simulated Annealing

This paper is mainly on how to design optimal fractional orders by simulated annealing algorithm so that we can obtain fairly good correlation peak. In the first section, the definition of anamorphic fractional correlation is introduced which is more complicated and useful than ordinary correlation. Secondly, several performance measures are presented and simulated annealing algorithm is used to gain better performance by selecting optimal fractional orders. In the end of this paper, digital implementations are produced to verify the theoretic analysis.