This diagram explains a spatial filter with direction of arrival estimation.
Edit and compile if you like:
% Direction-of-arrival diagram % Author: Edgar Fuentes \documentclass{article} \usepackage{tikz} \usepackage[active,tightpage]{preview} \PreviewEnvironment{tikzpicture} \setlength\PreviewBorder{10pt}% \usetikzlibrary{shapes.geometric} \usetikzlibrary{shapes.arrows} \usepackage{array} \begin{document} \begin{tikzpicture} [ auto, decision/.style = { diamond, draw=blue, thick, fill=blue!20, text width=5em, text badly centered, inner sep=1pt, rounded corners }, block/.style = { rectangle, draw=blue, thick, fill=blue!20, text width=10em, text centered, rounded corners, minimum height=2em }, line/.style = { draw, thick, ->, shorten >=2pt }, ] % Define nodes in a matrix \matrix [column sep=5mm, row sep=10mm] { & \node [text centered] (x) {$\mathbf{X}$}; & \\ & \node (null1) {}; & \\ & \node [block] (doa) {\textsf{DoAE}($\mathbf{X}$)}; & \\ \node(null3){}; & \node [decision] (uiddes) {\textsf{UID}($\hat{\mathbf{X}}$)}; & \node[text centered](tra){$\mathbf{i}$}; \\ & \node [block] (track) {\textsf{DoAT}($\mathbf{x}$)}; & \\ & \node [block] (pesos) {\textsf{BF}(DoA$_{\mathrm{T}}$,DoAs)}; & \\ & \node [block] (filtrado) {\textsf{SF}($\mathbf{w}$,$\mathbf{x}$)}; & \\ & \node [text centered] (xf) {$\hat{x}(t)$ }; & \\ }; % connect all nodes defined above \begin{scope} [every path/.style=line] \path (x) -- (doa); \path (doa) -- node [near start] {DoAs} (uiddes); \path (tra) -- (uiddes); \path (uiddes) --++ (-3,0) node [near start] {no} |- (null1); \path (uiddes) -- node [near start] {DoA} (track); \path (track) -- node [near start] {DoA$_{\mathrm{T}}$} (pesos); \path (pesos) -- node [near start] {\textbf{w}} (filtrado); \path (filtrado) -- (xf); \end{scope} % % legend for subprocedures \node (leyend) at (7.5, 5){ \begin{tabular}{>{\sffamily}l@{: }l} \multicolumn{2}{c}{\textbf{subprocedures}} \\ DoAE & direction of arrival estimation \\ UID & user identification \\ DoAT & DoA tracking \\ BF & beam forming \\ SF & spatial filtering \end{tabular} }; % % legend for input and output variables \node (leyend) at (7, 0){ \begin{tabular}{l@{: }l} \multicolumn{2}{c}{\textbf{variables}} \\ DoA & direction of arrival \\ $\mathbf{i}$ & identification sequence \\ $\mathbf{X},\,\mathbf{x}$ & signal model \\ DoA$_{\mathrm{T}}$ & DoAs up to date \\ $\hat{x}(t)$ & fitered signal \end{tabular} }; \end{tikzpicture} \end{document}
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