Orthogonal Basis Spreading Sequence for Optimal CDMA

TL;DR

This paper demonstrates that Weyl spreading sequences are orthogonal basis vectors in a bit recovering model, explaining their superior capacity in CDMA systems and showing that any spreading sequence can be expressed as a combination of these basis vectors.

Contribution

It reveals the orthogonal basis nature of Weyl spreading sequences and their role in maximizing capacity in CDMA, providing a theoretical foundation for their effectiveness.

Findings

Weyl sequences are orthogonal basis vectors in a bit recovering model.

Any spreading sequence can be expressed as a sum of Weyl sequences.

Weyl sequences offer larger capacity than Gold codes.

Abstract

Recently, new spreading sequences have been proposed to increase the capacity of users. In particular, the Weyl spreading sequences have the larger capacity of users than the Gold codes. This paper shows that the Weyl spreading sequences appear in a bit recovering model and they are orthogonal basis vectors. This result shows the reason why they have the large capacity and that any spreading sequence is expressed as the sum of the Weyl spreading sequences.