Effect of Polarization on the Correlation and Capacity of Indoor MIMO Channels

<table>Four antenna configurations which are denoted as (a) <svg height="11.3625" id="M23" style="vertical-align:-0.15013pt" version="1.1" viewbox="0 0 35.974998 11.3625" width="35.974998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,0,0,-.017,.062,11.113)"><path d="M687 650v-28q-52 -6 -71.5 -23t-47.5 -83q-142 -346 -208 -527h-31q-119 325 -207 545q-21 54 -39.5 68.5t-65.5 19.5v28h245v-28q-52 -5 -61.5 -15.5t3.5 -43.5q55 -157 166 -437h2q120 303 158 421q14 43 3.5 55.5t-71.5 19.5v28h225z" id="x56"></path></g><g transform="matrix(.017,0,0,-.017,12.013,11.113)"><path d="M687 650v-28q-52 -6 -71.5 -23t-47.5 -83q-142 -346 -208 -527h-31q-119 325 -207 545q-21 54 -39.5 68.5t-65.5 19.5v28h245v-28q-52 -5 -61.5 -15.5t3.5 -43.5q55 -157 166 -437h2q120 303 158 421q14 43 3.5 55.5t-71.5 19.5v28h225z" id="x56"></path></g><g transform="matrix(.017,0,0,-.017,23.963,11.113)"><path d="M687 650v-28q-52 -6 -71.5 -23t-47.5 -83q-142 -346 -208 -527h-31q-119 325 -207 545q-21 54 -39.5 68.5t-65.5 19.5v28h245v-28q-52 -5 -61.5 -15.5t3.5 -43.5q55 -157 166 -437h2q120 303 158 421q14 43 3.5 55.5t-71.5 19.5v28h225z" id="x56"></path></g>
</svg>, (b) <svg height="11.3625" id="M24" style="vertical-align:-0.15013pt" version="1.1" viewbox="0 0 33.849998 11.3625" width="33.849998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,0,0,-.017,.062,11.113)"><path d="M620 650v-28q-51 -6 -70.5 -19t-48.5 -60q-68 -110 -126 -219q-17 -32 -17 -63v-136q0 -63 15.5 -77.5t84.5 -19.5v-28h-282v28q67 5 82 19.5t15 77.5v133q0 22 -21 60l-126 219q-31 53 -49 67t-62 18v28h239v-28q-51 -6 -59.5 -18t8.5 -36q13 -25 135 -237
q87 155 119 225q18 37 9 48.5t-67 17.5v28h221z" id="x59"></path></g><g transform="matrix(.017,0,0,-.017,11.044,11.113)"><path d="M687 650v-28q-52 -6 -71.5 -23t-47.5 -83q-142 -346 -208 -527h-31q-119 325 -207 545q-21 54 -39.5 68.5t-65.5 19.5v28h245v-28q-52 -5 -61.5 -15.5t3.5 -43.5q55 -157 166 -437h2q120 303 158 421q14 43 3.5 55.5t-71.5 19.5v28h225z" id="x56"></path></g><g transform="matrix(.017,0,0,-.017,22.994,11.113)"><path d="M620 650v-28q-51 -6 -70.5 -19t-48.5 -60q-68 -110 -126 -219q-17 -32 -17 -63v-136q0 -63 15.5 -77.5t84.5 -19.5v-28h-282v28q67 5 82 19.5t15 77.5v133q0 22 -21 60l-126 219q-31 53 -49 67t-62 18v28h239v-28q-51 -6 -59.5 -18t8.5 -36q13 -25 135 -237
q87 155 119 225q18 37 9 48.5t-67 17.5v28h221z" id="x59"></path></g>
</svg>, (c) <svg height="11.175" id="M25" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 34.787498 11.175" width="34.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,0,0,-.017,.062,11.113)"><path d="M620 650v-28q-51 -6 -70.5 -19t-48.5 -60q-68 -110 -126 -219q-17 -32 -17 -63v-136q0 -63 15.5 -77.5t84.5 -19.5v-28h-282v28q67 5 82 19.5t15 77.5v133q0 22 -21 60l-126 219q-31 53 -49 67t-62 18v28h239v-28q-51 -6 -59.5 -18t8.5 -36q13 -25 135 -237
q87 155 119 225q18 37 9 48.5t-67 17.5v28h221z" id="x59"></path></g><g transform="matrix(.017,0,0,-.017,10.908,11.113)"><path d="M620 650v-28q-51 -6 -70.5 -19t-48.5 -60q-68 -110 -126 -219q-17 -32 -17 -63v-136q0 -63 15.5 -77.5t84.5 -19.5v-28h-282v28q67 5 82 19.5t15 77.5v133q0 22 -21 60l-126 219q-31 53 -49 67t-62 18v28h239v-28q-51 -6 -59.5 -18t8.5 -36q13 -25 135 -237
q87 155 119 225q18 37 9 48.5t-67 17.5v28h221z" id="x59"></path></g><g transform="matrix(.017,0,0,-.017,21.685,11.113)"><path d="M729 650v-28q-62 -5 -76 -19.5t-14 -75.5v-404q0 -62 13.5 -76t75.5 -19v-28h-268v28q65 5 79.5 19t14.5 76v199h-341v-199q0 -62 14 -76t76 -19v-28h-263v28q61 5 74.5 19t13.5 76v404q0 62 -14 76t-76 19v28h259v-28q-58 -5 -71 -19t-13 -76v-162h341v162
q0 61 -13.5 75.5t-72.5 19.5v28h261z" id="x48"></path></g>
</svg>, and (d) <svg height="11.3625" id="M26" style="vertical-align:-0.15013pt" version="1.1" viewbox="0 0 38.112499 11.3625" width="38.112499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,0,0,-.017,.062,11.113)"><path d="M687 650v-28q-52 -6 -71.5 -23t-47.5 -83q-142 -346 -208 -527h-31q-119 325 -207 545q-21 54 -39.5 68.5t-65.5 19.5v28h245v-28q-52 -5 -61.5 -15.5t3.5 -43.5q55 -157 166 -437h2q120 303 158 421q14 43 3.5 55.5t-71.5 19.5v28h225z" id="x56"></path></g><g transform="matrix(.017,0,0,-.017,12.013,11.113)"><path d="M729 650v-28q-62 -5 -76 -19.5t-14 -75.5v-404q0 -62 13.5 -76t75.5 -19v-28h-268v28q65 5 79.5 19t14.5 76v199h-341v-199q0 -62 14 -76t76 -19v-28h-263v28q61 5 74.5 19t13.5 76v404q0 62 -14 76t-76 19v28h259v-28q-58 -5 -71 -19t-13 -76v-162h341v162
q0 61 -13.5 75.5t-72.5 19.5v28h261z" id="x48"></path></g><g transform="matrix(.017,0,0,-.017,25.034,11.113)"><path d="M729 650v-28q-62 -5 -76 -19.5t-14 -75.5v-404q0 -62 13.5 -76t75.5 -19v-28h-268v28q65 5 79.5 19t14.5 76v199h-341v-199q0 -62 14 -76t76 -19v-28h-263v28q61 5 74.5 19t13.5 76v404q0 62 -14 76t-76 19v28h259v-28q-58 -5 -71 -19t-13 -76v-162h341v162
q0 61 -13.5 75.5t-72.5 19.5v28h261z" id="x48"></path></g>
</svg>.</table>

International Journal of Antennas and Propagation

fig4

Figure 4

Figure 4: Effect of Polarization on the Correlation and Capacity of Indoor MIMO Channels 