给定功率谱的伪随机序列

给定功率谱的伪随机序列 TWO PSEUDORANDOM SEQUENCES WITH KNOWN POWER SPECTRA 王延平 Wang Yenping first-author 本文简要讨论了一般常用的伪随机序列产生的方法。分析了由M序列加权和所产生的伪随机序列的周期、振幅分布,自相关函数及其功率谐。指出其分布是均匀的,功率谐是低通的。并可以由其权因子序列简单地得到。由于这种序列可以由移位寄存器直接得到,因此它在计算机中可以快速产生。本文给出另一种由富里叶变换产生伪随机序列的方法。用这种方法可以产生多维指定功率谱的伪随机序列。 In this paper two kinds of pseudorandom sequences are discussed. The first kind of sequence is derived from the usual M-sequence by appropriately weighting. The period, distribution of its amplitude, the autocorrelation function, and its power spectrum are analysed. It is shown that this sequence has uniform amplitude distribution and low pass power spectrum, which can easily be obtained from its weighting factor sequence. Since it can be produced by shift register, it can be generated by computer rapidly. Another pseudorandom sequence discussed is derived from Fourier transform. Using this sequence we can easily obtain multidimensional pseudorandom sequences with white or some other given power spectra. 中国科学院科学基金 1985-04-01 2021-04-01 4