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围绕OCDMA系统的重要地址码类型——光素数地址码的结构模型,根据有限Galois域上的线性全等理论,系统分析了基本素数码、扩展素数码、修正素数码的互相关特性,指出码字中“1”位的重叠区域.具体给出基本素数码最大互相关为2、扩展素数码和修正素数码最大互相关为1的数学证明,并给出完整的的素数码相关性分析过程.在此基础上,计算基本素数码和扩展素数码的信号干扰比以及多址干扰误码率,并比较基于不同素数码的OCDMA系统的误码性能,给出定量比较结果.
Based on the structural model of the address code of the optical prime number of the OCDMA system, the cross-correlation of the basic prime numbers, the extended prime numbers and the prime prime numbers is systematically analyzed according to the linear congruence theory on the finite Galois field. The overlap of the “1” bits in the word is given.The mathematical proofs that the maximum cross-correlation of basic prime number is 2 and the maximum cross-correlation between the extended prime number and the revised prime number are 1 and the complete process of prime digital correlation analysis Based on this, the signal to interference ratios of basic prime numbers and spread spectrum digital codes as well as the bit error rate of multiple access interference are calculated, and the bit error performance of OCDMA systems based on different prime numbers is compared to give the quantitative comparison results.