A data recovery scheme, which combines the pulse broadening wave shape interpolation with the pulse broadening effect compensation, is proposed. The scheme can realize interpolation and pulse broadening effect compensation at the same time according to the weight coefficient, solve the problems of time slot sampling error and jitter, and achieve data recovery of time slot signal modulated by pulse position. The simulation results indicate that the proposed scheme has a good robustness, and can solve the problems of time slot sampling error and jitter effectively. Under the condition that the jitter parameters used in decoding mismatch with the actual parameters, the performance of the proposed scheme is still better than the scheme in which the interpolation and the pulse broadening effect compensation are separated. For the proposed scheme combines the interpolation with the pulse broadening effect compensation, the computation is simplified.