基于仿射傅里叶字典的水下探测通信一体化波形设计及处理方法
Waveform design and processing for underwater integrated detection and communication based on affine Fourier dictionary
-
摘要: 针对水下探测通信一体化系统的探测通信性能优化问题, 提出了一种基于过完备小波傅里叶字典的水下探测通信一体化波形设计及其信号处理方法。首先, 利用小波的多分辨率特性与傅里叶变换的时频局部化特性, 设计了非正交过完备波形, 可适应于水声双选择性信道, 从而有效提升了一体化系统在多普勒频移和多径效应下的探测通信性能。其次, 提出了基于多分辨率字典的稀疏重构算法, 通过逐层提取信号特征, 在降低运算复杂度的同时可提升目标探测精度与水声通信性能。最后, 通过分析成对误差概率上下限, 量化了一体化波形设计对误码率的优化效果。仿真结果表明, 本文所提方法在宽带模糊度函数、检测概率以及成对误差概率等方面的性能均优于传统方法, 为水下探测通信一体化系统提供了理论支持。Abstract: This paper addresses the challenge of optimizing detection and communication performance in integrated systems for underwater detection and communication by proposing a waveform design and signal processing method based on an overcomplete wavelet Fourier dictionary. First, by leveraging the multiresolution properties of wavelets and the time–frequency localization of the Fourier transform, a nonorthogonal overcomplete waveform is designed tailored to underwater doubly dispersive channels, thereby enhancing performance under Doppler shifts and multipath effects. Next, a sparse reconstruction algorithm is introduced based on a multiresolution dictionary that extracts signal features layer by layer, reducing computational complexity while improving target detection accuracy and underwater communication. Finally, by analyzing the upper and lower bounds of the pairwise error probability, the improvement in bit error rate achieved by the waveform design is quantified. Simulation results show that the proposed method outperforms conventional approaches in terms of the wideband ambiguity function, detection probability, and pairwise error probability, providing theoretical support for integrated systems for underwater detection and communication.
下载: