@article{XU2026, 
author = {Zhichao XU and Faping LU and Jiafang KANG and Qi AN and Zhilin ZHANG and Dongkai YANG},
title = {Design of tracking telemetry and command signal based on prolate spheroidal wave functions waveform forming},
year = {2026},
journal = {Journal of Beijing University of Aeronautics and Astronautics},
volume = {52},
number = {4},
pages = {1160-1169},
keywords = {prolate spheroidal wave functions, waveform forming, tracking telemetry and command signal, power efficiency, information transmission rate},
url = {https://www.sciopen.com/article/10.13700/j.bh.1001-5965.2024.0068},
doi = {10.13700/j.bh.1001-5965.2024.0068},
abstract = {Enhancing the signal waveform's power efficiency and information transmission efficiency is one of the issues in tracking, telemetry, and command (TT&C) system waveform design. It is found that the basic characteristics such as biorthogonal, optimal time-frequency energy aggregate, and spectral controllable of prolate spheroidal wave functions (PSWFs) make it be a reliable candidate for TT&C signal waveform design. In this paper, PSWF are introduced into TT&C signal waveform design, and a four-dimensional unified spread spectrum TT&C signal waveform design method based on PSWF waveform shaping is proposed. This new idea, by using high-energy aggregation PSWF as waveform shaping functions, can obtain higher power efficiency and information transmission rate, better anti-interference and anti-interception capabilities. It provides a better waveform scheme for the design of TT&C signal waveforms. For instance, the suggested approach can boost the spread spectrum gain by 3.44 dB and the information transmission rate by one when compared to conventional TT&C signals based on rectangular pulse functions under the same system error performance.}
}