Emulating Realistic Bidirectional Spatial Channels for MIMO OTA Testing

<div>Cross-correlation among the fading CIRs <svg height="15.1135pt" id="M218" style="vertical-align:-5.82517pt" version="1.1" viewbox="-0.0498162 -9.28833 26.4874 15.1135" width="26.4874pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M300 -169V-136C225 -126 216 -88 216 -42C216 19 230 84 230 152C230 207 206 255 147 268V272C206 286 230 333 230 388C230 453 216 523 216 586C216 630 225 667 300 677V710C239 710 151 696 151 579C152 514 160 438 160 373C160 338 157 293 68 287V253C157 247 160 202 160 168C159 106 151 32 151 -41C151 -157 239 -169 300 -169ZM181 710H180H181ZM181 -186H180H181Z" id="g50-124"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="360" vert-adv-y="360"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,4.68,0)"><path d="M571 102L552 139C524 112 488 92 483 92C475 92 474 101 482 141L554 457H539L420 429L376 239C356 206 273 86 233 86C215 86 199 102 222 192L287 451L277 457L153 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ascent="3443" descent="-2856" horiz-adv-x="360" vert-adv-y="360"></glyph.data></g></svg> in the downlink and <svg height="14.4989pt" id="M219" style="vertical-align:-5.21057pt" version="1.1" viewbox="-0.0498162 -9.28833 24.4127 14.4989" width="24.4127pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M300 -169V-136C225 -126 216 -88 216 -42C216 19 230 84 230 152C230 207 206 255 147 268V272C206 286 230 333 230 388C230 453 216 523 216 586C216 630 225 667 300 677V710C239 710 151 696 151 579C152 514 160 438 160 373C160 338 157 293 68 287V253C157 247 160 202 160 168C159 106 151 32 151 -41C151 -157 239 -169 300 -169ZM181 710H180H181ZM181 -186H180H181Z" id="g50-124"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="360" vert-adv-y="360"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,4.68,0)"><path d="M279 291V303C277 359 265 461 174 461C116 461 51 392 36 308L92 287C115 341 135 357 146 357C175 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scenario B. The value in the correlation matrix denotes the correlation between two fading CIRs indicated in the <svg height="6.20645pt" id="M220" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -6.00005 7.52437 6.20645" width="7.52437pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M545 403C545 425 527 451 498 451C448 451 400 404 312 286L290 341C262 412 246 451 219 451C182 451 138 404 92 345L112 323C152 368 169 378 181 378C192 378 201 359 216 321L257 214C184 115 142 69 113 69C102 69 93 73 88 79S78 89 68 89C47 89 24 61 24 40C24 8 49 -12 75 -12C125 -12 175 31 271 175L312 64C330 15 357 -12 382 -12C421 -12 475 35 515 98L496 121C466 88 439 62 420 62C402 62 384 92 363 147L325 247C349 280 374 309 397 333C422 361 446 381 462 381C471 381 481 374 488 366C493 360 499 357 505 357C521 357 545 380 545 403Z" id="g50-121"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="569" vert-adv-y="569"></glyph.data></g></svg>- and <svg height="9.4034pt" id="M221" style="vertical-align:-3.40335pt" version="1.1" viewbox="-0.0498162 -6.00005 7.75923 9.4034" width="7.75923pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M563 395C563 428 543 451 519 451C500 451 480 438 472 423C468 415 465 403 470 394C477 381 482 368 482 347C482 272 386 136 342 74H340C334 163 323 257 312 337C302 410 290 451 257 451C214 451 160 385 127 338L145 310C169 341 203 373 209 373C219 373 225 369 232 325C249 215 269 62 271 -15C220 -80 135 -165 18 -231L26 -257L142 -230C254 -105 279 -74 342 13C394 85 484 211 526 286C553 334 563 365 563 395Z" id="g50-122"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="587" vert-adv-y="587"></glyph.data></g></svg>-axes.</div>

International Journal of Antennas and Propagation

fig10

Figure 10

Figure 10: Emulating Realistic Bidirectional Spatial Channels for MIMO OTA Testing 