Emulating Realistic Bidirectional Spatial Channels for MIMO OTA Testing

<div>Temporal autocorrelations of the target channel model, unweighted fading CIR from 1st probe in the downlink <svg height="9.77003pt" id="M190" style="vertical-align:-3.6656pt" version="1.1" viewbox="-0.0498162 -6.10443 12.7187 9.77003" width="12.7187pt" 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="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 436L59 31C44 -33 22 -130 22 -167C22 -222 40 -242 65 -242C101 -242 138 -215 146 -200L145 -196C127 -175 110 -131 110 -43C110 -19 112 13 120 32H123C130 6 145 -12 167 -12C196 -12 219 0 247 22S311 85 361 155H363C359 143 353 114 349 98C331 25 342 -12 382 -12C419 -12 482 12 571 102Z" id="g14-234"></path><glyph.data ascent="3452" descent="-2858" horiz-adv-x="588" vert-adv-y="588"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.673,3.616)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg>, downlink fading CIR <svg height="12.3185pt" id="M191" style="vertical-align:-3.16066pt" version="1.1" viewbox="-0.0498162 -9.15784 13.0697 12.3185" width="13.0697pt" 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="M542 0V39C491 47 484 48 484 107V291C484 400 431 457 343 457C294 457 243 427 208 393V699C144 683 73 669 21 663V628C73 622 77 623 77 564V107C77 48 71 44 14 39V0H255V39C213 45 208 51 208 105V351C230 373 257 379 281 379C319 379 353 353 353 278V105C353 51 350 45 302 39V0H542Z" id="g22-102"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="561" vert-adv-y="561"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.293,3.001)"><path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z" id="g50-101"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="564" vert-adv-y="564"></glyph.data></g></svg>, unweighted fading CIR from 1st probe in the uplink <svg height="9.1946pt" id="M192" style="vertical-align:-3.05101pt" version="1.1" viewbox="-0.0498162 -6.14359 10.644 9.1946" width="10.644pt" 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="M279 291V303C277 359 265 461 174 461C116 461 51 392 36 308L92 287C115 341 135 357 146 357C175 357 179 276 180 245V233C180 154 150 45 131 -11H192C293 73 464 252 464 388C464 446 411 476 394 476C371 476 361 467 361 447V441C364 432 368 410 368 399C368 314 323 217 260 145C271 192 279 244 279 291Z" id="g185-48"></path><glyph.data ascent="989" descent="-303" horiz-adv-x="429" vert-adv-y="429"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,5.577,3.001)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg>, and uplink fading CIR <svg height="12.3185pt" id="M193" style="vertical-align:-3.16066pt" version="1.1" viewbox="-0.0498162 -9.15784 12.9601 12.3185" width="12.9601pt" 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="M542 0V39C491 47 484 48 484 107V291C484 400 431 457 343 457C294 457 243 427 208 393V699C144 683 73 669 21 663V628C73 622 77 623 77 564V107C77 48 71 44 14 39V0H255V39C213 45 208 51 208 105V351C230 373 257 379 281 379C319 379 353 353 353 278V105C353 51 350 45 302 39V0H542Z" id="g22-102"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="561" vert-adv-y="561"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.293,3.001)"><path d="M528 97L513 125C484 95 440 68 431 68C425 68 421 76 427 107C449 227 476 342 505 451H495L418 424L385 278C338 191 220 62 157 62C145 62 133 76 145 130L200 368C215 434 210 451 183 451C157 451 92 418 24 352L37 324C78 356 106 377 115 377C123 377 122 364 116 340L64 115C58 89 56 68 56 52C56 2 78 -12 103 -12C127 -12 159 -4 190 18C247 59 309 113 366 187H368L351 108C328 1 348 -12 368 -12C403 -12 472 33 528 97Z" id="g50-118"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="552" vert-adv-y="552"></glyph.data></g></svg> for scenario B. Note that the direction of travel is <svg height="11.1336pt" id="M194" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -10.9272 16.8239 11.1336" width="16.8239pt" 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="M290 377C321 398 342 415 358 430C378 450 389 473 389 502C389 578 329 635 238 635H237C184 635 137 610 109 578L64 515L88 493C112 529 154 573 208 573S303 542 303 482C303 409 233 370 141 341L149 308C165 313 190 319 215 319C272 319 341 283 341 193C342 98 292 43 222 43C163 43 122 72 96 94C88 101 79 100 70 94C61 87 47 73 46 60C44 47 48 37 62 23C76 10 118 -12 165 -12C238 -12 430 62 430 223C430 297 379 359 290 375V377Z" id="g50-52"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,6.331,0)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,12.662,-5.872)"><path d="M339 262C339 340 273 403 193 403S48 340 48 262S113 121 193 121S339 184 339 262ZM283 262C283 210 242 168 193 168S104 210 104 262S144 356 193 356S283 314 283 262Z" id="g54-73"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="385" vert-adv-y="385"></glyph.data></g></svg> in the simulation and the fading CIRs are four samples per wavelength.</div>

International Journal of Antennas and Propagation

fig9

Figure 9

Figure 9: Emulating Realistic Bidirectional Spatial Channels for MIMO OTA Testing 