Due to orthogonalization processing and its own structural constraints, the Prolate Spheroidal Wave Function (PSWF) pulse group scheme has high system complexity and high Peak-to-Average Power Ratio (PAPR) of the modulation signal.Aiming at the problems, and considering the odd-even feature of PSWF signal, a sub-band grouping pulse group scheme based on PSWF parity characteristics is proposed.The communication frequency band is divided into several sub-bands with the same and adjacent bandwidth, and the overlapped wavelet bands are divided within the sub-band to construct the pulse group.The natural orthogonality between PSWF signals with different odd-even characteristics in the wavelet band is utilized to completely avoid the orthogonalization processing.Theoretical and numerical analysis show that:1) Compared with the orthogonalized PSWF pulse group scheme, our scheme can effectively reduce the system complexity;and 2) When CCDF is 10-4, the PAPR of modulation signal can be reduced by about 1.49 dB.