椭圆球面波函数微分系统求解及仿真  

Resolution and simulation of differential system for prolate spherical wave functions

作　　者：钟佩琳[1] 王红星[1] 赵志勇[1] 陈昭男[1] 

机构地区：[1]海军航空工程学院电子信息工程系,山东烟台264001

出　　处：《吉林大学学报（工学版）》2013年第6期1675-1679,共5页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(60772056);山东省'泰山学者'建设工程项目

摘　　要：针对已有椭圆球面波函数求解算法计算量大、硬件实现复杂度高及产生困难的问题,从微分系统状态方程求解的角度,提出了一种计算精度高、时间及空间复杂度低的椭圆球面波函数求解算法,并在此基础上构建了易于硬件实现的产生椭圆球面波函数的系统仿真模型。将本文算法与Parr B提出的基于特征值分解的数值算法进行仿真比较,结果显示:两种算法求得的椭圆球面波函数具有一致的波形和频谱,而本文算法的复杂度要低于Parr B算法。同时,系统模型的仿真结果显示:系统输出波形与理论求解结果一致,验证了所构建系统模型的正确性和可行性。The existing algorithms for Prolate Spherical Wave Functions （PSWFs） demand large amount of computation and high complexity in hardware implementation. To overcome the above weaknesses, a new algorithm with high accuracy and low complexity in both time and space domains was proposed in terms of computing the state equation of differential system. Then a simulation model of the system is constructed to generate PSWFs. This simulation model is easy for hardware implementation. The proposed algorithm was compared with the one proposed by Parr B. Results show that, when both algorithms obtain identical waveform and spectrum, the one proposed in this paper has much lower complexity. Simulation results of the system model show that the output waveforms are the same as the theoretical solutions, which verify the correctness and feasibility of the constructed system model.

关 键 词：通信技术 椭圆球面波函数 微分系统求解 系统模型 

分 类 号：TN911.7[电子电信—通信与信息系统]