基于PSWF奇偶特性的子频段分组脉冲组设计方法

Design of Sub-band Grouping Pulse Group Based on PSWF Parity Characteristic

针对现有椭圆球面波函数(PSWF)脉冲组方案中正交化处理和自身构造限制造成系统复杂度高、调制信号峰均功率比高的不足,结合PSWF信号奇偶特性,提出了一种基于PSWF奇偶特性的子频段分组脉冲组设计方法,通过将通信频段划分为若干个带宽相同且相邻的子频段,在子频段内划分频谱交叠的子波带构建脉冲组,利用子波带中具有不同奇偶特性的PSWF信号之间天然的正交性,完全避免了正交化处理。理论和数值分析表明,与正交化处理PSWF脉冲组方案相比,所提方案能有效降低系统复杂度;并且当CCDF为10-4时,能使调制信号峰均功率比降低约1.49 dB。

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.