josh
189e064d9b
阶段 5 骨架。主文件 \input sec4/sec5 取消注释，附录段在 E 与 G 之间插入 F。E.tex 将原五个 subsection 降为 subsubsection 包入 E.1 单用户多星 CRB；新增空的 E.2 多用户多星 CRB（扩展）占位。 sec4/sec5/F 暂为 % TODO 框架，实质内容下一个 content commit。
173 lines
5.9 KiB
TeX
173 lines
5.9 KiB
TeX
\documentclass[11pt,a4paper]{article}
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hidelinks,
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bookmarksnumbered,
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]{hyperref}
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backend=biber,
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% \addbibresource{IEEEabrv.bib}
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\usepackage{titlesec}
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\titlespacing*{\section}{0pt}{*0}{*0} % 左边缩进 = 0pt，上间距 = 0，下间距 = 0
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\titlespacing*{\subsection}{0pt}{*0}{*0} % 左边缩进 = 0pt，上间距 = 0，下间距 = 0
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\titlespacing*{\subsubsection}{0pt}{*0}{*0} % 左边缩进 = 0pt，上间距 = 0，下间距 = 0
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\usepackage[acronym]{glossaries}
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\makeglossaries%
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\glsdisablehyper%
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\setacronymstyle{short-long}
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\newacronym{cml}{CML}{Conditional Maximum Likelihood，条件最大似然}
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\newacronym{crb}{CRB}{Cramér–Rao Bound，克拉美罗界}
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\newacronym{crlb}{CRLB}{Cramér–Rao Lower Bound，克拉美罗下界}
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\newacronym{cdml}{CDML}{Concentrated Deterministic Maximum Likelihood，集中确定最大似然}
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\newacronym{cpi}{CPI}{Coherent Processing Interval，相干处理间隔}
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\newacronym{csml}{CSML}{Concentrated Stochastic Maximum Likelihood，集中随机最大似然}
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\newacronym{dml}{DML}{Deterministic Maximum Likelihood，确定最大似然}
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\newacronym{doa}{DoA}{Direction-of-Arrival，波达方向}
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\newacronym{ecef}{ECEF}{Earth-centered, Earth-fixed，地心地固}
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\newacronym{eci}{ECI}{Earth-centered Inertial，地心惯性}
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\newacronym{esprit}{ESPRIT}{Estimation of Signal Parameters via Rotational Invariant Techniques，旋转不变信号参数估计法}
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\newacronym{fdoa}{FDOA}{Frequency Difference of Arrival，到达频率差}
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\newacronym{fim}{FIM}{Fisher Information Matrix，费舍尔信息矩阵}
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\newacronym{leo}{LEO}{Low Earth Orbir，低地球轨道}
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\newacronym{mle}{MLE}{Maximum Likelihood Estimation，最大似然估计}
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\newacronym{mse}{MSE}{Mean Square Error，均方误差}
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\newacronym{music}{MUSIC}{MUtiple SIgnal Classification，多重信号分类}
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\newacronym{pdf}{PDF}{Probability Density Function，概率密度函数}
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\newacronym{rmse}{RMSE}{Root-Mean Square Error，均方根误差}
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\newacronym{sml}{SML}{Stochastic Maximum Likelihood，随机最大似然}
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\newacronym{tdoa}{TDOA}{Time Difference of Arrival，到达时间差}
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\newacronym{ula}{ULA}{Uniform Linear Array，均匀线性阵列}
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\newacronym{uml}{UML}{Unconditional Maximum Likelihood，无条件最大似然}
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\newacronym{upa}{UPA}{Uniform Planar Array，均匀平面阵列}
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\title{DoA 与 Doppler 估计}
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\author{Josh Gao}
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\date{\today}
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\linespread{1.5}
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\allowdisplaybreaks[4]
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\setlength{\abovedisplayskip}{0pt}
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\setlength{\belowdisplayskip}{0pt}
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\begin{document}
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\maketitle
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\begin{abstract}
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使用通信信号估计来波方向与 Doppler 参数，是通信感知一体化和低轨卫星协作感知中的基础问题。
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本文以学习笔记的方式记录这一问题的递进路径：每节只沿一个维度推进模型，其余维度保持最简形态。
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正文从多快拍单阵列确定信号 \gls{doa} 估计出发，依次引入 Doppler、多星几何，并预留多用户与星间时间戳误差两节作为新论文方向；最后回到第一篇论文的多帧连续相位结构。
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正文仅写到集中似然的最终形式与有效 \gls{fim} 的 Schur complement 表达式，详细矩阵代入与逐步化简均迁移至附录。
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附录按"是否共享推导框架"组织：单阵列三种 \gls{crb} 合并为附录 D，多星静态模型为附录 E，时间戳误差 \gls{fim} 分析为附录 F，多帧动态模型的连续/独立相位对比为附录 G。
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\end{abstract}
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\input{parts/preface.tex}
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\input{parts/sec1_singleArrayDoa.tex}
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\input{parts/sec2_singleArrayDoaDoppler.tex}
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\input{parts/sec3_multiSatSingleUser.tex}
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\input{parts/sec4_multiSatMultiUser.tex}
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\input{parts/sec5_timestampError.tex}
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\input{parts/sec6_multiFrameCp.tex}
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% \input{parts/sec7_beamforming.tex} % 预留，本次不展开
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\appendix
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\renewcommand{\thesection}{附录~\Alph{section}}
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\renewcommand{\thesubsection}{\Alph{section}.\arabic{subsection}}
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\renewcommand{\thesubsubsection}{\Alph{section}.\arabic{subsection}.\arabic{subsubsection}}
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\renewcommand{\theequation}{\Alph{section}.\arabic{equation}}
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\newpage
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\input{parts/A-symbolIndex.tex}
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\newpage
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\input{parts/B-mathBackground.tex}
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\newpage
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\input{parts/C-classicalDoa.tex}
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\newpage
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\input{parts/D-singleArrayCrb.tex}
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\newpage
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\input{parts/E-multiSatStaticCrb.tex}
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\newpage
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\input{parts/F-timestampErrCrb.tex}
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\newpage
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\input{parts/G-multiFrameCrb.tex}
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% \newpage
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% \renewcommand*{\bibfont}{\footnotesize}
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% \printbibliography\
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\end{document}
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