Capacity of Cooperative Spatial Modulation (CSM) System with Optimum Relay Selection

<div>The capacity of CSM network using different selection criteria in case 1 (<span class="nowrap"><svg height="12.5834pt" id="M158" style="vertical-align:-3.37335pt" version="1.1" viewbox="-0.0498162 -9.21005 54.2441 12.5834" width="54.2441pt" 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="M541 58L519 60C477 65 472 69 472 126V703C421 688 341 674 277 667V636C338 628 344 624 344 570V449C322 452 311 454 303 454C147 454 29 343 29 207C29 58 147 -12 233 -12C244 -12 259 -9 283 6L344 45V-13C423 10 517 22 541 26V58ZM344 80C322 66 307 64 289 64C243 64 171 111 171 234C171 386 248 412 271 412C301 412 328 395 344 360V80Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.111,3.132)"><path d="M454 491C445 557 438 602 434 639C418 643 359 665 292 665C147 665 58 580 58 469C58 374 127 319 235 267C312 228 356 191 356 134C356 72 318 31 257 31C160 31 102 144 83 205L40 192C49 127 62 47 71 22C84 16 103 8 132 0C161 -9 198 -15 235 -15C384 -15 483 74 483 190C483 288 414 345 304 397C214 439 177 471 177 524C177 580 219 619 275 619C357 619 392 546 412 483L454 491Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.706,3.132)"><path d="M669 29C646 36 629 47 608 69C589 89 568 120 532 175C502 221 466 287 451 316C519 343 576 391 576 479C576 542 547 586 507 613C466 640 415 650 326 650H42V608C115 602 124 593 124 514V138C124 57 112 49 38 42V0H343V42C267 49 258 57 258 138V277H279C311 277 329 265 344 237C373 185 400 130 427 88C467 26 504 -2 632 -8C645 -8 656 -9 662 -9L669 29ZM258 323V556C258 577 260 587 266 594C272 600 285 605 312 605C368 605 431 568 431 465C431 416 418 377 382 348C361 330 327 323 286 323H258Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.992,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,33.255,0)"><path d="M541 58L519 60C477 65 472 69 472 126V703C421 688 341 674 277 667V636C338 628 344 624 344 570V449C322 452 311 454 303 454C147 454 29 343 29 207C29 58 147 -12 233 -12C244 -12 259 -9 283 6L344 45V-13C423 10 517 22 541 26V58ZM344 80C322 66 307 64 289 64C243 64 171 111 171 234C171 386 248 412 271 412C301 412 328 395 344 360V80Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,40.366,3.132)"><path d="M669 29C646 36 629 47 608 69C589 89 568 120 532 175C502 221 466 287 451 316C519 343 576 391 576 479C576 542 547 586 507 613C466 640 415 650 326 650H42V608C115 602 124 593 124 514V138C124 57 112 49 38 42V0H343V42C267 49 258 57 258 138V277H279C311 277 329 265 344 237C373 185 400 130 427 88C467 26 504 -2 632 -8C645 -8 656 -9 662 -9L669 29ZM258 323V556C258 577 260 587 266 594C272 600 285 605 312 605C368 605 431 568 431 465C431 416 418 377 382 348C361 330 327 323 286 323H258Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,46.481,3.132)"><path d="M43 650V608C114 602 124 595 124 512V138C124 55 114 48 35 42V0H296C422 0 528 27 602 84C679 142 728 229 728 351C728 444 689 517 639 563C573 625 476 650 348 650H43ZM261 536C261 565 263 580 272 590C278 597 299 604 334 604C404 604 459 583 501 541C545 497 574 424 574 330C574 155 482 49 347 49C277 49 261 73 261 142V536Z"></path></g></svg>).</span></div>

Wireless Communications and Mobile Computing

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Figure 4

Figure 4: Capacity of Cooperative Spatial Modulation (CSM) System with Optimum Relay Selection 