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Weighted Fractional Fourier transform (WFRFT) signal is widely used in hybrid carrier communication for its anti-interception and anti-modulation recognition.At present, most of the research focuses on the application and characteristic analysis of hybrid carrier, but less on the parameter estimation of WFRFT. In order to solve the problem of unknown parameters in non-cooperative communication scenarios, a theory of WFRFT parameter estimation based on Shintaro eigenvalue is proposed. Firstly, by theoretical derivation, the parameters can be estimated accurately by minimizing the Shintaro value of the received signal, and then the parabola search algorithm is improved to search the minimum value of Shintaro eigenvalue.The simulation results show that the WFRFT parameter estimation theory is effective and reliable, and the method has similar parameter estimation accuracy compared with the existing methods, but with less search times and computational complexity.