周期长度为奇素数的伪随机序列的功率谱分析

Power Spectrum Analysis of PN Sequence With Odd Prim Number Periods

本文分析了奇素数有限域中平方剩余的某些性质，介绍了长度为奇素数的伪随机序列的构造和产生方法，简明地证明了这些序列的自相关函数，最后推导出了奇素数ｑ≡１（ｍｏｄ４）序列的功率谱表达式。

Some characters of quadratic residue in the odd prim number finite field are obtaind. The constrution and production of PN sequence with odd prim number periods are introduced.Their autocorrelation functions are concisely determined.At last,power spectral density expressions of PN sequences with periods of odd prim number q ≡1(mod 4) are established.