ENGINEERING Information Technology & Electronic Engineering  2026 Vol.27 No.10 P.1-12

http://doi.org/10.1631/ENG.ITEE.2026.0110


Novel four-dimensional direct sequence spread spectrum waveform design based on prolate spheroidal wave functions


Author(s):  Zhichao XU, Faping LU, Zhilin ZHANG, Zhongyang MAO, Dongkai YANG, Jiafang KANG, Fucheng YANG, Feng WANG

Affiliation(s):  1. Beihang University, Beijing 100191, China more

Corresponding email(s):   lufaping@163.com

Key Words:  Direct sequence spread spectrum, Prolate spheroidal wave functions, Chip waveform, Spectral efficiency, Anti-interference


Zhichao XU, Faping LU, Zhilin ZHANG, Zhongyang MAO, Dongkai YANG, Jiafang KANG, Fucheng YANG, Feng WANG. Novel four-dimensional direct sequence spread spectrum waveform design based on prolate spheroidal wave functions[J]. Journal of Zhejiang University Science C, 2026, 27(10): 1-12.

@article{title="Novel four-dimensional direct sequence spread spectrum waveform design based on prolate spheroidal wave functions",
author="Zhichao XU, Faping LU, Zhilin ZHANG, Zhongyang MAO, Dongkai YANG, Jiafang KANG, Fucheng YANG, Feng WANG",
journal="Journal of Zhejiang University Science C",
volume="27",
number="10",
pages="1-12",
year="2026",
publisher="Zhejiang University Press & Springer",
doi="10.1631/ENG.ITEE.2026.0110"
}

%0 Journal Article
%T Novel four-dimensional direct sequence spread spectrum waveform design based on prolate spheroidal wave functions
%A Zhichao XU
%A Faping LU
%A Zhilin ZHANG
%A Zhongyang MAO
%A Dongkai YANG
%A Jiafang KANG
%A Fucheng YANG
%A Feng WANG
%J Frontiers of Information Technology & Electronic Engineering
%V 27
%N 10
%P 1-12
%@ 1869-1951
%D 2026
%I Zhejiang University Press & Springer
%DOI 10.1631/ENG.ITEE.2026.0110

TY - JOUR
T1 - Novel four-dimensional direct sequence spread spectrum waveform design based on prolate spheroidal wave functions
A1 - Zhichao XU
A1 - Faping LU
A1 - Zhilin ZHANG
A1 - Zhongyang MAO
A1 - Dongkai YANG
A1 - Jiafang KANG
A1 - Fucheng YANG
A1 - Feng WANG
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 27
IS - 10
SP - 1
EP - 12
%@ 1869-1951
Y1 - 2026
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/ENG.ITEE.2026.0110


Abstract: 
With its excellent anti-interference capability, low probability of interception, and code-division multiple access capability, direct sequence spread spectrum plays a crucial role in unmanned aerial vehicle swarm communications, high-precision ranging, and massive connectivity in beyond fifth-generation and sixth-generation networks. However, low spectral efficiency and poor energy concentration of conventional rectangular chip waveforms used in spread spectrum modulation make it difficult to meet the high-rate and high-sensitivity reception requirements of future systems. To address this issue, this study proposes a spread spectrum chip waveform design method based on prolate spheroidal wave functions (PSWFs). By constructing a set of four orthogonal PSWF-based chip waveforms, the proposed method enhances signal dimensionality and spectral efficiency under finite time–bandwidth product constraints. Furthermore, an equivalent low-pass filter structure is integrated to reduce implementation complexity. Theoretical analysis and simulation results demonstrate that the proposed waveform achieves approximately double the spectral efficiency of conventional waveforms while maintaining comparable error performance. It also exhibits superior anti-interference and anti-interception capabilities, providing a viable waveform design approach for next-generation spread spectrum communication systems.

基于椭圆球面波函数的新型四维直接序列扩频波形设计

许志超1,2,3,陆发平2,3,张治霖3,4,毛忠阳2,3,杨东凯1,康家方2,3,杨富程2,王峰1
1北京航空航天大学,中国北京市,100191
2海军航空大学,中国烟台市,264001
3山东省海空信息感知与处理技术重点实验室,中国烟台市,264001
4中国人民解放军91206部队,中国青岛市,266100
摘要:直接序列扩频技术因具备良好的抗干扰、低截获和码分多址能力,在无人机集群通信、高精度测距及后5G/6G网络海量连接等场景中具有重要应用。然而,传统扩频调制采用的矩形码片波形频谱效率低、能量聚集性差,难以满足未来系统对高速率、高灵敏度接收的需求。为此,本文提出一种基于椭圆球面波函数(PSWFs)的扩频码片波形设计方法。通过构建一个由4个基于PSWF且正交的码片波形组成的集合,在有限时间带宽积约束下提升信号维度和频谱效率,并结合等效低通结构降低实现复杂度。理论分析与仿真结果表明,所提波形在保持与传统波形相当误码性能的同时,可实现约一倍的频谱效率提升,并具有更好的抗干扰与抗截获性能,为下一代扩频通信系统提供可行的波形设计思路。

关键词:直接序列扩频;椭圆球面波函数;码片波形;频谱效率;抗干扰

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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Full Text:   <17>

Summary:  <13>

CLC number: TN911.23

On-line Access: 2026-11-11

Received: 2026-04-20

Revision Accepted: 2026-08-14

Crosschecked: 2026-11-11

Cited: 0

Clicked: 16

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Zhongyang MAO

0000-0001-6279-1627

Faping LU

0000-0002-8172-0311

Jiafang KANG

0000-0003-4177-5622

Zhichao XU

0009-0007-2524-457X

Zhilin ZHANG

0009-0006-1442-3735

Dongkai YANG

0000-0003-4642-4557

Fucheng YANG

0000-0001-6088-6884

Feng WANG

0000-0002-9046-3388

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