The Influence of the Gordon-Mills-Welch Generating Polynomial on its Autocorrelation Properties
A. I. Sattarova, Alexey A. Egorov, K. Yu. Ryumshin, B. A. Efteev, Lev M. Kazadaev
Abstract
This article deals with the generating of pseudo-random Gordon-Mills-Welch sequences with good autocorrelation properties for use in communication and data transmission systems, as spectrum-expanding sequences, scrambling and synchronization functions. Nowadays, there is a significant issue of pure detecting of signals in various types of radio channel. The proper solution of this issue provides new opportunities in the future research. The most important aim of usage of pseudo-random sequences is the reducing of influence of negative effects of channel and maximizing the probability of detecting the low-rate signal because of the unique form of autocorrelation function. Due to this feature, they are commonly used in the area of radars. The main goal of the article is to find out the exact types of Gordon-Mills-Welch sequences with suitable autocorrelation properties.