Effective and efficient gradient based methods for low-bit discrete-phase sequence designs

Ronghao Lin

doi:10.1016/j.sigpro.2023.108929

Effective and efficient gradient based methods for low-bit discrete-phase sequence designs

2023-06-01

4

PRE

AI

DOI：10.1016/j.sigpro.2023.108929

Original

Original request for help

Save

Abstract

En 中文

We devise effective and efficient gradient based methods to design low-bit, including binary (one-bit per sample, or 1b) and quaternary (two-bit per sample, or 2b), discrete-phase sequences without or with low correlation zone (LCZ) requirements. We determine proper step sizes needed by the gradient based algorithms to monotonically decrease the optimization metric via efficient line search techniques for aperiodic and periodic low-bit discrete-phase sequence designs. Moreover, we introduce approximate gradient based approaches to reduce the autocorrelation sidelobes when the desired LCZ is relatively large. Numerical examples are provided to show that the proposed gradient based algorithms can outperform the state-of-the-art algorithms for designing 1b and 2b sequences with good autocorrelation properties. (c) 2023 Elsevier B.V. All rights reserved.

Keywords:

Aperiodic and periodic sequences

Autocorrelation functions

Binary (1b) sequences

Gradient based methods

LCZ

Quaternary (2b) sequences

Effective and efficient gradient based methods for low-bit discrete-phase sequence designs

Abstract

Journal

Organization