目 錄
第1 章 緒論 ··················································································································.1
1.1 與水聲相關的物理量及其計算 ···········································································.2
1.1.1 水聲能量及其計算 ···························································································.2
1.1.2 參考聲壓和分貝及其計算 ···············································································.3
1.2 水下聲速變化特性 ·································································································.4
1.3 水聲信道中3 種特殊傳播模式 ···········································································.7
1.4 水聲信道傳播損失規(guī)律 ························································································.8
1.5 聲吶系統(tǒng) ··········································································································.11
1.5.1 聲吶方程 ·········································································································.11
1.5.2 聲吶方程的檢測閾值 ······················································································.15
1.5.3 噪聲與混響環(huán)境下檢測閾值的設置 ·······························································.17
本章小結 ················································································································.19
第2 章 水聲信道的基本物理特性 ····················································································.20
2.1 海面水聲信號的傳播特性 ···················································································.20
2.2 海底水聲信號的傳播特性 ···················································································.23
2.3 水聲傳播的多途效應 ····························································································.27
2.4 水聲信道的選擇性衰落 ·······················································································.28
2.5 多途信道的系統(tǒng)函數(shù) ····························································································.29
2.6 水聲信號的匹配濾波處理 ···················································································.31
本章小結 ·····················································································································.33
第3 章 范數(shù)約束與稀疏估計 ·····················································································.34
3.1 近似范數(shù)約束項與稀疏估計代價函數(shù) ····························································.34
3.2 范數(shù)化的向量空間 ································································································.35
3.3 范數(shù)約束項與稀疏估計代價函數(shù)設計 ····························································.37
3.4 基于近似l0 范數(shù)約束的稀疏估計算法 ····························································.39
本章小結 ·················································································································.42
第4 章 稀疏水聲信道的估計算法 ····················································································.43
4.1 稀疏水聲信道的向量估計算法 ··········································································.43
4.1.1 問題描述 ·········································································································.43
4.1.2 向量估計方法與信道估計目標函數(shù) ·······························································.45
4.1.3 數(shù)值仿真分析 ·································································································.52
4.1.4 海試驗證 ·········································································································.54
4.2 稀疏水聲信道的矩陣估計算法 ··········································································.58
4.2.1 問題描述 ·········································································································.59
4.2.2 基于壓縮感知的矩陣估計算法 ······································································.60
4.2.3 數(shù)值仿真分析 ·································································································.64
4.2.4 海試驗證 ·········································································································.68
本章小結 ·················································································································.74
第5 章 壓縮感知的稀疏化預處理 ····················································································.75
5.1 離散余弦變換 ·········································································································.76
5.2 離散小波變換 ·········································································································.78
5.3 6 種多尺度幾何分析 ·····························································································.94
5.3.1 脊波（Ridgelet）變換 ····················································································.94
5.3.2 曲波（Curvelet）變換 ····················································································.94
5.3.3 輪廓波（Contourlet）變換 ·············································································.95
5.3.4 條帶波（Bandelet）變換 ················································································.96
5.3.5 楔波（Wedgelet）變換 ···················································································.97
5.3.6 小線（Beamlet）變換 ·····················································································.97
5.4 稀疏表示 ···············································································································.98
5.5 信號的低秩分析 ···································································································.101
本章小結 ··················································································································.104
第6 章 壓縮感知理論 ··································································································.105
6.1 壓縮感知簡介 ·······································································································.105
6.2 基本概念 ········································································································.109
6.2.1 基和框架? ··································································································.109
6.2.2 低維信號模型 ·······························································································.109
6.2.3 可壓縮信號 ···································································································.110
6.2.4 子空間的有限并集 ························································································.110
6.2.5 感知矩陣的有關概念 ····················································································.110
6.2.6 感知矩陣的構造 ····························································································.113
6.3 稀疏信號恢復算法 ······························································································.114
6.3.1 l1 范數(shù)最小化算法 ·························································································.114
6.3.2 基追蹤和基追蹤降噪方法 ············································································.117
6.4 信號恢復算法 ·······································································································.130
6.5 6 種典型的貪心算法 ···························································································.131
6.5.1 正則化正交匹配追蹤 ····················································································.131
6.5.2 壓縮采樣匹配追蹤 ························································································.135
6.5.3 分段正交匹配追蹤 ························································································.138
6.5.4 子空間追蹤 ···································································································.141
6.5.5 稀疏度自適應追蹤 ························································································.142
6.5.6 廣義正交匹配追蹤 ························································································.146
本章小結 ···············································································································.149
第7 章 壓縮感知應用 ·······························································································.152
7.1 壓縮感知在稀疏水聲信道估計中的應用 ······················································.152
7.2 水聲信道的時延-多普勒雙擴展模型探討 ····················································.154
7.3 水聲雙擴展信道估計研究概述及未來工作展望 ········································.156
7.4 壓縮感知在水聲數(shù)據(jù)遙測中的應用 ·······························································.158
7.5 壓縮感知在變電站噪聲源定位中的應用 ······················································.163
7.5.1 變電站噪聲源定位算法簡介 ········································································.164
7.5.2 基于壓縮感知的合成孔徑技術 ····································································.167
參考文獻 ·············································································································.174