稀疏水声信号处理与压缩感知应用

目 录
第1 章 绪论 ··················································································································.1
1.1 与水声相关的物理量及其计算 ···········································································.2
1.1.1 水声能量及其计算 ···························································································.2
1.1.2 参考声压和分贝及其计算 ···············································································.3
1.2 水下声速变化特性 ·································································································.4
1.3 水声信道中3 种特殊传播模式 ···········································································.7
1.4 水声信道传播损失规律 ························································································.8
1.5 声呐系统 ··········································································································.11
1.5.1 声呐方程 ·········································································································.11
1.5.2 声呐方程的检测阈值 ······················································································.15
1.5.3 噪声与混响环境下检测阈值的设置 ·······························································.17
本章小结 ················································································································.19
第2 章 水声信道的基本物理特性 ····················································································.20
2.1 海面水声信号的传播特性 ···················································································.20
2.2 海底水声信号的传播特性 ···················································································.23
2.3 水声传播的多途效应 ····························································································.27
2.4 水声信道的选择性衰落 ·······················································································.28
2.5 多途信道的系统函数 ····························································································.29
2.6 水声信号的匹配滤波处理 ···················································································.31
本章小结 ·····················································································································.33
第3 章 范数约束与稀疏估计 ·····················································································.34
3.1 近似范数约束项与稀疏估计代价函数 ····························································.34
3.2 范数化的向量空间 ································································································.35
3.3 范数约束项与稀疏估计代价函数设计 ····························································.37
3.4 基于近似l0 范数约束的稀疏估计算法 ····························································.39
本章小结 ·················································································································.42
第4 章 稀疏水声信道的估计算法 ····················································································.43
4.1 稀疏水声信道的向量估计算法 ··········································································.43
4.1.1 问题描述 ·········································································································.43
4.1.2 向量估计方法与信道估计目标函数 ·······························································.45
4.1.3 数值仿真分析 ·································································································.52
4.1.4 海试验证 ·········································································································.54
4.2 稀疏水声信道的矩阵估计算法 ··········································································.58
4.2.1 问题描述 ·········································································································.59
4.2.2 基于压缩感知的矩阵估计算法 ······································································.60
4.2.3 数值仿真分析 ·································································································.64
4.2.4 海试验证 ·········································································································.68
本章小结 ·················································································································.74
第5 章 压缩感知的稀疏化预处理 ····