椭圆球面波脉冲信号快速设计方法

在基于椭圆球面波的非正弦短波通信系统中，椭圆球面波脉冲信号原设计方法存在计算量大、计算时间长的问题。为了解决此问题，提出了椭圆球面波脉冲信号快速设计方法。该方法利用基于带通采样的椭圆球面波函数数值解法，求得椭圆球面波函数近似数值解，椭圆球面波函数在时间轴上向右平移，可得椭圆球面波脉冲信号。理论分析和仿真结果表明，快速设计方法能使计算量和计算时间降低2～4个数量级，同时椭圆球面波脉冲信号的时域、频域和正交性能还能保持与原设计方法相当。

Quick Design Method of Prolate Spheroidal Wave Pulse Signals

In the system of nonsinusoidal short wave(HF) communication based on prolate spheroidal wave pulse signals (PSWPS), the original design method of PSWPS has large computation work and long computation time problem. To solve the problem, a quick design method of PSWPS is proposed. The approximate numerical value is achieved by this method using prolate spheroidal wave functions (PSWF) based on bandpass sampling. PSWPS can be obtained just by horizontally moving the PSWF rightward along the time axis. Theoretical analysis and simulation results show that the quick design method can effectively reduce the calculation work and computing time. In the meantime, the performance of time domain, frequency domain and orthogonalization of PSWPS is almost the same as the original design method.