一种改进的正交PSWF脉冲设计方法

A Modified Designing Method of Orthogonal Pulse for Prolate Spheroidal Wave Function

针对采用传统非正弦波时域正交椭圆球面波设计方法设计的正交PSWF脉冲的正交性能不稳定的问题,提出了一种改进的正交PSWF脉冲设计方法,利用修正的Schmidt正交算法,对PSWF脉冲组进行正交化,从而得到新的正交PSWF脉冲组。仿真结果表明,与传统Schmidt方法相比,新算法的舍入误差小,且得到的正交PSWF脉冲具有相对稳定的正交性能,同时能够保持PSWF脉冲带内能量聚集性高的优点。

For the issue of the unstable property of the PSWF orthogonalization pulses designed by the method of Orthogonal Pulse in Time Domain Based on Prolate Spheroidal Wave Functions,a modified designing method for the PSWF orthogonalization pulses is proposed.Using the modified Schmidt orthogonalization algorithm to orthogonalize the PSWF pulses,the new PSWF orthogonalization pulses set is obtained.Simulation results show that comparing with Schmidt method,the new method has lower rounding errors and more stable property,and maintains the advantage of high energy concentration.