In order to solve the orthogonal frequency division multiplexing (OFDM) signal parameter failure problem under stable Alpha distribution noise, a joint carrier frequency and symbol rate estimation method based on generalized cyclic spectrum was proposed. Firstly, the generalized cyclic spectrum mathematical model of OFDM was established by arctangent transformation and cyclostationary analysis of OFDM signals. Then, the relationship between the generalized cyclic spectral line and the carrier frequency and symbol rate of OFDM signal was analyzed, and the parameter estimation of OFDM signal was realized by detecting the position of generalized cyclic spectral line. Finally, universal software radio peripheral (USRP) collected OFDM signals, and used real collection I and Q IF signals to verify the proposed algorithm. Experimental results show that the proposed algorithm has good robustness under Alpha stable distributed noise and has certain engineering practicability.