SNR Maximization as a Non-Linear Programming -Towards Optimal Spreading Sequence-

TL;DR

This paper formulates SNR maximization in wireless CDMA systems as a non-linear programming problem, deriving conditions for optimal spreading sequences to improve signal quality under realistic channel conditions.

Contribution

It introduces a novel non-linear programming approach for optimizing spreading sequences to maximize SNR in frequency-selective channels, including necessary optimality conditions.

Findings

Derived necessary conditions for optimal spreading sequences.

Formulated SNR maximization as a convex programming problem without norm constraints.

Provided a framework for designing sequences to enhance wireless communication performance.

Abstract

Signal to Noise Ratio (SNR) is an important index for wireless communications. There are many methods for increasing SNR. In CDMA systems, spreading sequences are used. We consider the frequency-selective wide-sense-stationary uncorrelated-scattering (WSSUS) channel and evaluate the worst case of SNR. We construct the non-linear programing for maximizing the lower bound of the average of SNR. This problem becomes the convex programming if we did not take into account the norm constraint. We derive necessary conditions for optimal spreading sequences for the problem.