This invention discloses a semi-blind OFDM receiving method that combines channel
estimation,
phase noise compensation, and
signal detection. The method first constructs a constrained objective function for joint channel
estimation,
phase noise compensation, and
signal detection based on
phase noise modulo-1 constraints and the mapping constraint of the
signal to be detected. Then, given the phase
noise and the signal to be detected, the optimal channel estimate is obtained, and this estimate is brought back to the original optimization objective to obtain an updated objective function. Subsequently, by introducing a penalty term, a
penalty factor, and auxiliary variables, an augmented Lagrangian function of the optimization objective is constructed, and the corresponding
optimization problem is solved using the cross-direction
multiplier method (ADMM) and the minimization-maximization (MM)
algorithm. When the iteration termination condition is met, the joint estimate of the channel, phase
noise, and transmitted signal is obtained. This invention ensures optimal performance from the optimization objective and can effectively save
pilot overhead, thereby improving
spectral efficiency.