Design of Two Dimensional Unipolar (Optical) Orthogonal Codes Through One Dimensional Unipolar (Optical) Orthogonal Codes

TL;DR

This paper introduces an algorithm for constructing multiple sets of two-dimensional unipolar optical orthogonal codes, enhancing flexibility and reducing complexity in optical CDMA systems.

Contribution

It proposes a novel algorithm for creating multiple 2D unipolar orthogonal code sets and discusses efficient methods for auto- and cross-correlation calculations.

Findings

Multiple sets of 2D codes enable flexible code selection in WHTS optical CDMA.

The proposed methods simplify auto- and cross-correlation computations.

The codes are represented using DoPR and WPR for better analysis.

Abstract

In this paper, an algorithm for construction of multiple sets of two dimensional (2D) or matrix unipolar (optical) orthogonal codes has been proposed. Representations of these 2D codes in difference of positions representation (DoPR) have also been discussed along-with conventional weighted positions representation (WPR) of the code. This paper also proposes less complex methods for calculation of auto-correlation as well as cross-correlation constraints within set of matrix codes. The multiple sets of matrix codes provide flexibility for selection of optical orthogonal codes set in wavelength-hopping time-spreading (WHTS) optical code division multiple access (CDMA) system.