Eigensequences for Multiuser Communication over the Real Adder Channel

TL;DR

This paper introduces eigensequences, which are shape-invariant signals under the Discrete Fourier Transform, as user signatures for multiuser communication over the real adder channel, providing a novel approach to signal design.

Contribution

The paper proposes a new class of eigensequences invariant under the DFT for use as user signatures in multiuser systems over the t-RAC, advancing signal design techniques.

Findings

Eigensequences are shape-invariant under the DFT.

A multiuser communication system using eigensequences over the t-RAC is presented.

The approach offers a new method for user identification in multiuser channels.

Abstract

Shape-invariant signals under the Discrete Fourier Transform are investigated, leading to a class of eigenfunctions for the unitary discrete Fourier operator. Such invariant sequences (eigensequences) are suggested as user signatures over the real adder channel (t-RAC) and a multiuser communication system over the t-RAC is presented.