CAJ | 학술논문

基于本原三项式线性函数，构造了一类非线性序列。首先根据非线性序列生成规律，借助逻辑代数理论，推导并提取了非线性序列特征函数，利用特征函数筛分作用，合成了非线性反馈函数，据此实现了非线性序列生成。最后，对该类非线性序列特性进行了分析和计算，并将其应用于直接序列码分多址通信系统（DS-CDMA ）仿真实验中，结果表明该类非线性序列不仅具有理想的伪随机特性、良好的线性复杂度，还具有优于m序列、gold序列的误码率。
기우본원삼항식선성함수，구조료일류비선성서렬。수선근거비선성서렬생성규률，차조라집대수이론，추도병제취료비선성서렬특정함수，이용특정함수사분작용，합성료비선성반궤함수，거차실현료비선성서렬생성。최후，대해류비선성서렬특성진행료분석화계산，병장기응용우직접서렬마분다지통신계통（DS-CDMA ）방진실험중，결과표명해류비선성서렬불부구유이상적위수궤특성、량호적선성복잡도，환구유우우m서렬、gold서렬적오마솔。
In this thesis ,we proposed a method to construct the feedback functions of the nonlinear shift registers based on three items′primary polynomial .First of all ,we proved the characteristic state sets of the linear feedback shift registers with the feedback functions of three items′primary polynomial ,we extracted its eigenfunction and synthesized the feedback function for the nonlinear shift register .Secondly ,we implemented the non-linear feedback shift register on FPGA .Finally ,we conducted analyses and calculations for new sequences generated by the nonlinear shift registers and simulated the sequences in direct sequence spread spectrum code division multiple access communication system (DS-CDMA ) .The results show unanimously that the new sequences dose not only possess ideal pseudorandom property and better linear complexity ,but also get lower bit error rate (BER ) than m se-quence or gold sequence in the same communication system .