DIGITAL SIGNAL PROCESSING JUTE PSEUDORANDOM

Abstract

In this paper, a randomization effect of the scrambling process on the digital signal is presented. Due to the scrambling process, the transmitted signal becomes noise-like or in other words: whitened. The random properties make the signal more suitable not only for transmission media but for other specific applications like system recognition, synchronization, CDMA and cryptography... also. There are two kinds of scramblers: synchronized scrambler and self-synchronized scrambler. While for the synchronized scrambler the additive linear feedback register (LFSR) is used, the multiplicative LFSR is used for the self-synchronized one. In this paper, the general analyzing method for both kinds of scramblers based on D-transform and trace function in Galois field theory is presented. It has been shown that the statistic properties of the scrambled signal such as state distribution, runs autocorrelation function are almost noise-like.