Spatial Correlation for DoA Characterization Using Von Mises, Cosine, and Gaussian Distributions

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="540275.fig.003a" src="https://static.hindawi.com/articles/ijap/volume-2011/540275/figures/540275.fig.003a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Spatial correlation without mutual coupling</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="540275.fig.003b" src="https://static.hindawi.com/articles/ijap/volume-2011/540275/figures/540275.fig.003b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Spatial correlation with mutual coupling</td></tr></table></td></tr></table>

<table>Spatial correlation between elements 1 and 3 for a linear array with six elements, and different values of the parameter <svg height="7.0124998" id="M193" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 9.4125004 7.0124998" width="9.4125004" xmlns="http://www.w3.org/2000/svg">
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</svg>, with <svg height="16.725" id="M194" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 55.650002 16.725" width="55.650002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.725)">
<g transform="translate(72,-58.62)">
<text transform="matrix(1,0,0,-1,-71.95,63.39)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜙</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑝</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">0</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">∘</tspan>
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</svg>, as a function of <svg height="10.9375" id="M195" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 21.237499 10.9375" width="21.237499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9375)">
<g transform="translate(72,-63.25)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑑</tspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="10.12743" y="0">𝜆</tspan>
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</svg>.</table>

International Journal of Antennas and Propagation

fig3

Figure 3

Figure 3: Spatial Correlation for DoA Characterization Using Von Mises, Cosine, and Gaussian Distributions 