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Firstly, the paper introduces the definition of Fourier transform of fractional calculus equation, and then clarifies the discretization algorithm of fractional calculus Fourier. Secondly, the Fourier transform is applied to the processing of marketing data signals, including market signal detection and parameter estimation, signal de-drying and so on. The paper finds that the discretization algorithm of fractional calculus Fourier has strong theoretical and practical significance in the detection and complexity evolution of marketing evaluation data. [ABSTRACT FROM AUTHOR]