System value-based optimum spreading sequence selection for high-speed downlink packet access (HSDPA) MIMO

Gurcan, Mustafa K; Ma, Irina; Chungtragarn, Anusorn; Joudeh, Hamdi

doi:10.1186/1687-1499-2013-74

EURASIP Journal on Wireless Communications and Networking

Table 6 Three MIMO channel impulse responses produced using pedestrian B PDP

From: System value-based optimum spreading sequence selection for high-speed downlink packet access (HSDPA) MIMO

MIMO system	${\underline{h}}_{1, 1}$	${\underline{h}}_{1, 2}$	${\underline{h}}_{2, 1}$	${\underline{h}}_{2, 2}$
MIMO 1 $\begin{array}{l} {[{\underline{h}}_{i, j}]}_{1} \\ {[{\underline{h}}_{i, j}]}_{2} \\ {[{\underline{h}}_{i, j}]}_{4} \\ {[{\underline{h}}_{i, j}]}_{6} \\ {[{\underline{h}}_{i, j}]}_{10} \\ {[{\underline{h}}_{i, j}]}_{15} \end{array}$	$\begin{array}{l} 0.0229 + 0.5341 i \\ - 0.6235 + 0.3184 i \\ 0.0084 - 0.0738 i \\ 0.2479 + 0.1571 i \\ 0.0044 - 0.3625 i \\ 0.0247 + 0.0206 i \end{array}$	$\begin{array}{l} - 0.4432 + 0.2855 i \\ 0.0657 + 0.5398 i \\ - 0.0092 + 0.6207 i \\ - 0.1626 + 0.0536 i \\ 0.0133 - 0.1047 i \\ - 0.0130 + 0.0224 i \end{array}$	$\begin{array}{l} - 0.0069 - 0.0122 i \\ - 0.5727 + 0.7461 i \\ 0.0860 - 0.0990 i \\ 0.2054 + 0.1443 i \\ 0.0370 - 0.1813 i \\ - 0.0265 - 0.0026 i \end{array}$	$\begin{array}{l} - 0.1663 - 0.4687 i \\ 0.1264 + 0.7616 i \\ 0.2039 - 0.1934 i \\ 0.0227 - 0.1056 i \\ 0.0444 - 0.2439 i \\ - 0.0059 + 0.0672 i \end{array}$
MIMO 2 $\begin{array}{l} {[{\underline{h}}_{i, j}]}_{1} \\ {[{\underline{h}}_{i, j}]}_{2} \\ {[{\underline{h}}_{i, j}]}_{4} \\ {[{\underline{h}}_{i, j}]}_{6} \\ {[{\underline{h}}_{i, j}]}_{10} \\ {[{\underline{h}}_{i, j}]}_{15} \end{array}$	$\begin{array}{l} 0.0913 + 0.1776 i \\ 0.0936 - 0.7911 i \\ - 0.0202 - 0.0698 i \\ 0.0151 - 0.3206 i \\ - 0.4486 - 0.1105 i \\ 0.0237 + 0.0572 i \end{array}$	$\begin{array}{l} - 0.6268 + 0.4813 i \\ 0.2604 - 0.3171 i \\ - 0.1357 - 0.0327 i \\ 0.0545 + 0.3103 i \\ - 0.2675 + 0.1293 i \\ - 0.0047 - 0.0021 i \end{array}$	$\begin{array}{l} 0.1033 - 0.0800 i \\ - 0.2510 + 0.6625 i \\ 0.5253 - 0.0953 i \\ - 0.3251 + 0.0813 i \\ - 0.1176 - 0.2629 i \\ 0.0018 - 0.0280 i \end{array}$	$\begin{array}{l} 0.3372 + 0.8363 i \\ - 0.0653 + 0.3605 i \\ 0.0584 - 0.1297 i \\ 0.1319 - 0.0490 i \\ - 0.0872 + 0.0482 i \\ 0.0020 + 0.0513 i \end{array}$
MIMO 3 $\begin{array}{l} {[{\underline{h}}_{i, j}]}_{1} \\ {[{\underline{h}}_{i, j}]}_{2} \\ {[{\underline{h}}_{i, j}]}_{4} \\ {[{\underline{h}}_{i, j}]}_{6} \\ {[{\underline{h}}_{i, j}]}_{10} \\ {[{\underline{h}}_{i, j}]}_{15} \end{array}$	$\begin{array}{l} 0.2707 + 0.2853 i \\ 0.2780 - 0.8215 i \\ - 0.2162 + 0.0266 i \\ - 0.0660 + 0.1923 i \\ 0.0198 - 0.0297 i \\ - 0.0551 - 0.0018 i \end{array}$	$\begin{array}{l} 0.6291 - 0.7214 i \\ 0.1576 + 0.0554 i \\ - 0.0621 + 0.1326 i \\ 0.0415 - 0.0359 i \\ 0.1258 + 0.1203 i \\ 0.0194 + 0.0288 i \end{array}$	$\begin{array}{l} 0.2042 + 0.1202 i \\ 0.2734 - 0.7931 i \\ 0.2381 + 0.1180 i \\ 0.3467 + 0.0097 i \\ - 0.0552 + 0.2081 i \\ 0.0279 + 0.0448 i \end{array}$	$\begin{array}{l} - 0.2108 - 0.4112 i \\ 0.6783 - 0.4702 i \\ 0.0860 - 0.1800 i \\ 0.1481 + 0.0376 i \\ 0.1572 + 0.1320 i \\ 0.0065 + 0.0021 i \end{array}$
MIMO 4 $\begin{array}{l} {[{\underline{h}}_{i, j}]}_{1} \\ {[{\underline{h}}_{i, j}]}_{2} \\ {[{\underline{h}}_{i, j}]}_{4} \\ {[{\underline{h}}_{i, j}]}_{6} \\ {[{\underline{h}}_{i, j}]}_{10} \\ {[{\underline{h}}_{i, j}]}_{15} \end{array}$	$\begin{array}{l} - 0.2846 + 0.6625 i \\ - 0.2383 - 0.4432 i \\ 0.2094 + 0.1262 i \\ - 0.2596 - 0.0742 i \\ - 0.1007 + 0.2899 i \\ - 0.0030 + 0.0039 i \end{array}$	$\begin{array}{l} 0.1139 + 0.4100 i \\ - 0.0169 - 0.7298 i \\ 0.4345 + 0.1053 i \\ - 0.0151 + 0.0891 i \\ - 0.1461 + 0.2376 i \\ - 0.0118 + 0.0027 i \end{array}$	$\begin{array}{l} - 0.8778 - 0.1701 i \\ 0.0480 - 0.0967 i \\ - 0.0567 - 0.0903 i \\ - 0.1503 + 0.2134 i \\ - 0.0420 - 0.3273 i \\ - 0.0183 + 0.0101 i \end{array}$	$\begin{array}{l} - 0.0422 - 0.3111 i \\ - 0.1506 - 0.1133 i \\ 0.6742 + 0.1949 i \\ - 0.0972 + 0.5244 i \\ 0.2433 - 0.1657 i \\ 0.0438 + 0.0203 i \end{array}$
MIMO 5 $\begin{array}{l} {[{\underline{h}}_{i, j}]}_{1} \\ {[{\underline{h}}_{i, j}]}_{2} \\ {[{\underline{h}}_{i, j}]}_{4} \\ {[{\underline{h}}_{i, j}]}_{6} \\ {[{\underline{h}}_{i, j}]}_{10} \\ {[{\underline{h}}_{i, j}]}_{15} \end{array}$	$\begin{array}{l} - 0.5439 - 0.5576 i \\ - 0.3691 - 0.2579 i \\ 0.0200 + 0.1919 i \\ - 0.3587 + 0.0248 i \\ 0.1156 - 0.0808 i \\ - 0.0638 - 0.0000 i \end{array}$	$\begin{array}{l} - 0.8098 - 0.3717 i \\ 0.1776 - 0.1768 i \\ - 0.2993 - 0.0695 i \\ 0.1456 - 0.0431 i \\ 0.0185 - 0.1507 i \\ 0.0523 - 0.0087 i \end{array}$	$\begin{array}{l} - 0.2563 - 0.5513 i \\ 0.3903 - 0.0362 i \\ - 0.2914 + 0.4157 i \\ - 0.4297 + 0.1629 i \\ 0.0571 - 0.0619 i \\ - 0.0186 - 0.0212 i \end{array}$	$\begin{array}{l} - 0.1098 - 0.0363 i \\ - 0.8871 + 0.0024 i \\ - 0.0041 - 0.1478 i \\ 0.0690 - 0.1490 i \\ - 0.2913 + 0.2434 i \\ - 0.0019 + 0.0826 i \end{array}$
MIMO 6 $\begin{array}{l} {[{\underline{h}}_{i, j}]}_{1} \\ {[{\underline{h}}_{i, j}]}_{2} \\ {[{\underline{h}}_{i, j}]}_{4} \\ {[{\underline{h}}_{i, j}]}_{6} \\ {[{\underline{h}}_{i, j}]}_{10} \\ {[{\underline{h}}_{i, j}]}_{15} \end{array}$	$\begin{array}{l} - 0.2840 - 0.2491 i \\ - 0.4385 - 0.5626 i \\ - 0.4491 - 0.2567 i \\ 0.0135 + 0.2173 i \\ - 0.1683 - 0.0388 i \\ - 0.0242 + 0.0558 i \end{array}$	$\begin{array}{l} - 0.7960 - 0.0408 i \\ 0.2196 - 0.2892 i \\ - 0.0165 + 0.2390 i \\ 0.2314 - 0.1565 i \\ - 0.1509 - 0.2634 i \\ 0.0241 + 0.0684 i \end{array}$	$\begin{array}{l} 0.6534 + 0.4181 i \\ 0.2096 - 0.0745 i \\ - 0.0821 + 0.3265 i \\ 0.0229 - 0.2907 i \\ 0.0654 - 0.3807 i \\ - 0.0099 - 0.0324 i \end{array}$	$\begin{array}{l} - 0.1519 + 0.0626 i \\ 0.3893 - 0.7242 i \\ 0.3158 + 0.2367 i \\ 0.1111 - 0.0626 i \\ - 0.2742 - 0.2223 i \\ 0.0150 - 0.0101 i \end{array}$

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