相控序列的阵列交织快速生成

Fast Generation of Phase Control Sequence by Array Interleaving

相控序列为一种性能优越的新型伪随机序列，长为(2n-1)2的PC序列可通过(2n-1)的GMW序列和与相控序列相伴的交错序列交织生成。通过移位产生有限域元素和计算迹函数构造PC序列，分别产生了长为9, 49, 225, 961, 3 969, 16 129的PC序列，并验证了其性质。采用该方法由计算机模拟生成六万多个长为961的PC序列，时间小于12s。

Phase control sequence(PC sequence) is a new kind of pseudo-random sequence with excellent properties. The PC sequence with length of (2~n-1)~2 can be generated by interleaving the GMW sequence with length of 2~n-1 and interleaved sequence with length of (2~n-1)~2. The PC sequences with length of 9,49,225,961,3 969 and 16 129 are generated and their properties are verified. Specially, the finite field elements and the trace function are applied by shifting algorithm to generate the PC sequence. It takes less than 12 seconds to generate more than sixty thousands of PC sequences by computer with the methods.