Non-Linear Programming: Maximize SNR for Designing Spreading Sequence - Part II: Conditions for Optimal Spreading Sequences

TL;DR

This paper develops and analyzes optimization conditions for designing spreading sequences in CDMA systems to maximize SNR, providing necessary conditions for global solutions and evaluating their correlation properties.

Contribution

It derives the optimization problems and necessary conditions for optimal spreading sequences based on SNR maximization, extending the previous theoretical framework.

Findings

Derived necessary conditions for global solutions.

Numerically solved the optimization problems.

Evaluated solutions using correlation metrics.

Abstract

Signal to Noise Ratio (SNR) is an important index for wireless communications. In CDMA systems, spreading sequences are utilized. This series of papers show the method to derive spreading sequences as the solutions of non-linear programming: maximize SNR. In this paper, we derive the optimization problems with the expression SNR derived in Part I and the necessary conditions for the global solutions. We numerically solve the problems and evaluate the solutions with two factors, mean-square correlations and maximum mean-square correlations.