变换域通信系统最优误码率多元幅度谱编码算法

Multiple Amplitude Spectrum Coding Algorithm for Optimal Bit Error Rate in Transform Domain Communication System

针对变换域通信系统传统幅度谱采用二元编码方式没有充分利用干扰频谱信息且结构设计固定单一的缺点,提出了一种新型的最优误码率多元幅度谱编码算法,该算法通过理论推导分析变换域通信系统误码率、幅度谱和干扰频谱信息的动态关系式,将幅度谱编码转化成约束条件多维最优化问题,利用拉格朗日函数构建增广目标函数,通过迭代求解出多元幅度谱最优解。仿真结果表明:该多元幅度谱编码算法充分考虑到干扰频谱信息且不影响基函数的相关特性,相比较传统二元幅度谱编码算法,系统抗干扰性能提升约3 dB,有效降低系统误码率,并且当干信比为35 dB时,有效缓解系统误码率的平底现象,提高了系统的抗干扰性能。

Aiming at the shortcomings of the traditional amplitude spectrum of the transform domain communication system used by binary coding method, which does not make full use of the jamming spectrum information and single structural design, a novel optimal bit error rate multiple amplitude spectrum coding algorithm is proposed. The algorithm derives the dynamic relationship among the bit error rate, amplitude spectrum and jamming spectrum information of the communication system of the transform domain, and transforms the amplitude spectrum coding into the constrained multidimensional optimization problem. Then the augmented objective function is constructed by using the Lagrange function, and the multiple amplitude spectrum optimal solution is solved through iteration. The simulation results show that the multiple amplitude spectrum coding algorithm takes full account of the jamming spectrum information and does not affect the correlation characteristics of the base function. Comparing with the traditional binary amplitude spectrum coding algorithm, it gets the jamming tolerance gain about 3 dB. It can effectively alleviates the flat bottom phenomenon of bit error rate when jamming to signal ratio is 35 dB. The anti-jamming of the system is improved.