COORDINATE BASIS WHICH FOUNDATION ON PSEUDO-RANDOM SEQUENCES
Authors:
1.
Sevastopol State University
2.
Sevastopol State University
Type:
Article
Pages:
from 297
to 305
Status:
Published
Received:
20.09.2018
Accepted:
25.09.2018
Published:
25.09.2018
Subject area:
UDK 621.391 Работы общего и обзорного характера. Общая теория связи. Кибернетика (теория информации и теория сигналов применительно к электросвязи)
Language:
Russian
Keywords:
broadband communication systems, noise-like signals, M-sequence, orthogonal functions, weight of orthogonality
Abstract (English):
Broadband data transmission systems are used noise-like signals derived from pseudorandom sequences. The most widely used m-sequences have good correlation properties. However, M-sequences are not orthogonal sequences. In this work the methods of creation of orthogonal bases on the basis of M-sequences are proved. Two theorems on the linear independence of the functions obtained by cyclic shift of some of the original discrete functions are provide. For orthogonalization of M-sequences, the method of orthogonalization is used, which consists in determining the weight of orthogonality of linearly independent functions.
Broadband data transmission systems are used noise-like signals derived from pseudorandom sequences. The most widely used m-sequences have good correlation properties. However, M-sequences are not orthogonal sequences. In this work the methods of creation of orthogonal bases on the basis of M-sequences are proved. Two theorems on the linear independence of the functions obtained by cyclic shift of some of the original discrete functions are provide. For orthogonalization of M-sequences, the method of orthogonalization is used, which consists in determining the weight of orthogonality of linearly independent functions.
Keywords:
broadband communication systems, noise-like signals, M-sequence, orthogonal functions, weight of orthogonality
broadband communication systems, noise-like signals, M-sequence, orthogonal functions, weight of orthogonality
1. Degtyar'ov A. M., Agahanyanc R. E. Rozkladannya signalu u ryad po neortogonal'nim funkciyam // Vimiryuval'na ta obchislyuval'na tehnika v tehnologichnih procesah. 1998. № 4. S. 177-182.
2. Degtyarev A. N. Ortogonalizaciya funkciy i povyshenie pomehoustoychivosti vysokoskorostnyh sistem peredachi informacii. M. : Infra-M, 2015. 152 s.
