# Multiuser Communication Based on the DFT Eigenstructure

## TL;DR

This paper explores the eigenstructure of the DFT to develop new user signatures for multiuser communication over the RAC, introducing systematic procedures for eigenvector generation and a detailed 2-user system.

## Contribution

It introduces novel systematic methods to generate DFT eigenvectors and applies them as user signatures in a multiuser communication system over the RAC.

## Key findings

- New eigenvector generation procedures for DFT
- DFT eigenvectors as user signatures
- Detailed 2-user RAC communication system

## Abstract

The eigenstructure of the discrete Fourier transform (DFT) is examined and new systematic procedures to generate eigenvectors of the unitary DFT are proposed. DFT eigenvectors are suggested as user signatures for data communication over the real adder channel (RAC). The proposed multiuser communication system over the 2-user RAC is detailed.