基于正交基函数的超宽带脉冲设计方法研究

Research of UWB pulse design based on orthogonal basis functions

脉冲波形设计是超宽带无线通信系统中的关键技术之一,系统对脉冲的频谱利用率和运算时间提出了很高的要求。利用扁长椭球波函数良好的时限—带限特性,将扁长椭球波函数组作为一组正交基函数,提出了3种组合脉冲设计方法,等增益组合算法、随机选取组合系数算法和基于最小均方误差准则算法。MATLAB仿真结果表明,等增益组合算法复杂度低,频谱利用率不高;随机选取组合系数算法和基于最小均方误差准则算法具有较高的灵活性,频谱利用率较高。

Pulse waveform design is the key technology of ultra wide band wireless communication system, which asks high requirements in pulse spectrum utilization and operation time. Prolate spheroidal wave functions which have good time limited - band limited characteristic are taken as a set of orthogonal basis functions, three combinations pulse design methods are proposed, equal-gain combination algorithm, randomly selected combination coefficient algorithm and based on least mean square error criterion algorithm. MATLAB simulation results showed that the first algorithm had low complexity and high spectrum utilization rate, and the second and third algorithm had high flexibility, and higher utilization rate.