On the Efficient Generation of  <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2631903pt" id="M1" height="8.60421pt" version="1.1" viewBox="-0.0657574 -8.34102 10.6147 8.60421" width="10.6147pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-223" d="M563 442L553 454L479 439C463 404 440 354 416 322H414C389 422 344 454 283 454C151 454 21 310 21 162C21 48 73 -12 135 -12C182 -12 249 19 325 126H327C339 20 368 -12 407 -12C452 -12 507 21 557 110L530 136C508 107 493 92 480 92C462 92 453 123 430 253C459 292 528 386 563 442ZM318 186C290 133 235 76 202 76C175 76 154 108 154 184C154 275 198 406 247 406C288 406 313 294 318 186Z"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2631903pt" id="M2" height="8.60421pt" version="1.1" viewBox="-0.0657574 -8.34102 9.5915 8.60421" width="9.5915pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-232" d="M506 405C506 432 483 454 457 454C408 454 367 413 305 342L196 211L228 373C232 393 235 410 235 418C235 442 225 454 206 454C172 454 102 416 21 346L38 316C67 337 93 353 103 353C106 353 110 342 103 311L31 -2L34 -12C73 -5 114 0 153 3L187 157C193 165 207 183 219 189L267 67C293 2 321 -12 349 -12S434 11 496 100L472 127C444 94 423 81 416 81C407 81 399 92 380 127C362 161 317 265 310 285C335 314 378 363 420 363C433 363 444 361 454 354C461 349 467 349 475 355C489 365 506 385 506 405Z"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.445681pt" id="M3" height="12.7867pt" version="1.1" viewBox="-0.0657574 -8.34102 10.4711 12.7867" width="10.4711pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-234" d="M560 102L544 134C516 105 480 87 475 87C467 87 468 98 475 138C496 256 522 364 546 454H533L417 428L373 236C355 209 268 82 229 82C212 82 202 98 218 181C235 267 258 364 284 449L274 454L153 433L59 30C44 -36 21 -130 21 -169C21 -227 36 -246 61 -246C94 -246 133 -219 142 -207L139 -201C120 -182 101 -133 101 -43C101 -15 105 15 113 33H115C122 9 140 -12 159 -12C189 -12 206 -1 236 20C263 39 301 81 359 161H361C355 145 349 116 346 97C335 26 339 -12 378 -12C409 -12 473 13 560 102Z"/></g></svg><b> and </b><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2631903pt" id="M4" height="8.60421pt" version="1.1" viewBox="-0.0657574 -8.34102 10.6147 8.60421" width="10.6147pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><use xlink:href="#g5-223"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.445681pt" id="M5" height="12.7867pt" version="1.1" viewBox="-0.0657574 -8.34102 9.5556 12.7867" width="9.5556pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-229" d="M504 399C504 447 482 454 463 454C435 454 404 443 367 418C321 387 273 345 216 277H214L220 304C231 354 238 388 238 411C238 443 226 454 204 454C164 454 90 418 21 352L36 320C56 343 95 363 106 363C112 363 114 354 107 324L30 -4L38 -14C66 -4 119 5 157 9L201 201C234 258 330 359 367 359C377 359 383 344 374 308L312 50C284 -66 272 -144 272 -168C272 -187 341 -246 384 -246L392 -226C389 -211 387 -181 399 -122L494 330C500 360 504 382 504 399Z"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.445681pt" id="M6" height="12.7867pt" version="1.1" viewBox="-0.0657574 -8.34102 10.4711 12.7867" width="10.4711pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><use xlink:href="#g5-234"/></g></svg> White Samples with Applications

<div>Simulated and theoretical <svg height="9.7821pt" id="M191" style="vertical-align:-3.57194pt" version="1.1" viewbox="-0.0498162 -6.21016 31.9484 9.7821" width="31.9484pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 204Z" id="g113-223"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="568" vert-adv-y="568"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,7.697,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="356" vert-adv-y="356"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,12.538,0)"><path d="M484 406C484 429 465 448 438 448C400 448 352 405 302 356L156 213L191 373C195 391 197 404 197 416C197 436 191 448 178 448C151 448 83 406 23 350L37 328C67 350 101 369 109 369C114 369 115 362 111 344L29 -5L34 -12C63 -5 86 -1 111 3C124 73 137 138 147 161C165 180 189 202 206 217C215 194 249 111 275 57C304 -1 319 -12 342 -12C368 -12 405 -5 471 92L454 115C427 80 395 55 384 55C374 55 364 58 341 106L262 274C282 296 367 378 414 378C427 378 440 370 444 367C449 363 454 362 462 368C476 379 484 395 484 406Z" id="g113-232"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="507" vert-adv-y="507"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,19.408,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="356" vert-adv-y="356"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,24.249,0)"><path d="M538 96L524 119C492 88 454 63 446 63C439 63 434 70 440 101C463 223 491 341 518 448H508L433 422L401 276C355 192 240 56 188 56C163 56 154 89 163 133C184 233 207 338 235 443L230 448L152 424L58 17C40 -60 23 -143 23 -185C23 -241 42 -261 63 -261C92 -261 117 -241 125 -227L124 -221C109 -209 89 -165 89 -103C89 -55 96 -13 105 26H107C121 -3 134 -12 151 -12C172 -12 194 -5 221 16C279 61 330 124 384 194H386C381 159 377 141 368 105C343 3 363 -12 383 -12C416 -12 486 35 538 96Z" id="g113-234"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="555" vert-adv-y="555"></glyph.data></g></svg> and <svg height="9.7821pt" id="M192" style="vertical-align:-3.57194pt" version="1.1" viewbox="-0.0498162 -6.21016 31.7716 9.7821" width="31.7716pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 204Z" id="g113-223"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="568" vert-adv-y="568"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,7.697,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="356" vert-adv-y="356"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,12.538,0)"><path d="M471 401C471 442 455 448 440 448C421 448 389 439 366 424C314 390 233 331 165 242H163L187 345C193 372 197 393 197 409C197 435 189 448 174 448C146 448 80 408 23 349L40 327C64 351 97 373 107 373C115 373 118 366 111 337L29 -4L36 -12C56 -4 83 3 110 9C123 69 136 126 150 172C227 283 336 381 377 381C392 381 396 370 379 298L326 74C290 -77 273 -172 273 -197C273 -219 316 -261 346 -261L353 -246C348 -227 352 -174 374 -66L457 310C467 352 471 381 471 401Z" id="g113-229"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="494" vert-adv-y="494"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,19.232,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="356" vert-adv-y="356"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,24.073,0)"><path d="M538 96L524 119C492 88 454 63 446 63C439 63 434 70 440 101C463 223 491 341 518 448H508L433 422L401 276C355 192 240 56 188 56C163 56 154 89 163 133C184 233 207 338 235 443L230 448L152 424L58 17C40 -60 23 -143 23 -185C23 -241 42 -261 63 -261C92 -261 117 -241 125 -227L124 -221C109 -209 89 -165 89 -103C89 -55 96 -13 105 26H107C121 -3 134 -12 151 -12C172 -12 194 -5 221 16C279 61 330 124 384 194H386C381 159 377 141 368 105C343 3 363 -12 383 -12C416 -12 486 35 538 96Z" id="g113-234"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="555" vert-adv-y="555"></glyph.data></g></svg> densities.</div>

International Journal of Antennas and Propagation

fig1

Figure 1

Figure 1: On the Efficient Generation of  <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2631903pt" id="M1" height="8.60421pt" version="1.1" viewBox="-0.0657574 -8.34102 10.6147 8.60421" width="10.6147pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-223" d="M563 442L553 454L479 439C463 404 440 354 416 322H414C389 422 344 454 283 454C151 454 21 310 21 162C21 48 73 -12 135 -12C182 -12 249 19 325 126H327C339 20 368 -12 407 -12C452 -12 507 21 557 110L530 136C508 107 493 92 480 92C462 92 453 123 430 253C459 292 528 386 563 442ZM318 186C290 133 235 76 202 76C175 76 154 108 154 184C154 275 198 406 247 406C288 406 313 294 318 186Z"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2631903pt" id="M2" height="8.60421pt" version="1.1" viewBox="-0.0657574 -8.34102 9.5915 8.60421" width="9.5915pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-232" d="M506 405C506 432 483 454 457 454C408 454 367 413 305 342L196 211L228 373C232 393 235 410 235 418C235 442 225 454 206 454C172 454 102 416 21 346L38 316C67 337 93 353 103 353C106 353 110 342 103 311L31 -2L34 -12C73 -5 114 0 153 3L187 157C193 165 207 183 219 189L267 67C293 2 321 -12 349 -12S434 11 496 100L472 127C444 94 423 81 416 81C407 81 399 92 380 127C362 161 317 265 310 285C335 314 378 363 420 363C433 363 444 361 454 354C461 349 467 349 475 355C489 365 506 385 506 405Z"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.445681pt" id="M3" height="12.7867pt" version="1.1" viewBox="-0.0657574 -8.34102 10.4711 12.7867" width="10.4711pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-234" d="M560 102L544 134C516 105 480 87 475 87C467 87 468 98 475 138C496 256 522 364 546 454H533L417 428L373 236C355 209 268 82 229 82C212 82 202 98 218 181C235 267 258 364 284 449L274 454L153 433L59 30C44 -36 21 -130 21 -169C21 -227 36 -246 61 -246C94 -246 133 -219 142 -207L139 -201C120 -182 101 -133 101 -43C101 -15 105 15 113 33H115C122 9 140 -12 159 -12C189 -12 206 -1 236 20C263 39 301 81 359 161H361C355 145 349 116 346 97C335 26 339 -12 378 -12C409 -12 473 13 560 102Z"/></g></svg><b> and </b><svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2631903pt" id="M4" height="8.60421pt" version="1.1" viewBox="-0.0657574 -8.34102 10.6147 8.60421" width="10.6147pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><use xlink:href="#g5-223"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.445681pt" id="M5" height="12.7867pt" version="1.1" viewBox="-0.0657574 -8.34102 9.5556 12.7867" width="9.5556pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><path id="g5-229" d="M504 399C504 447 482 454 463 454C435 454 404 443 367 418C321 387 273 345 216 277H214L220 304C231 354 238 388 238 411C238 443 226 454 204 454C164 454 90 418 21 352L36 320C56 343 95 363 106 363C112 363 114 354 107 324L30 -4L38 -14C66 -4 119 5 157 9L201 201C234 258 330 359 367 359C377 359 383 344 374 308L312 50C284 -66 272 -144 272 -168C272 -187 341 -246 384 -246L392 -226C389 -211 387 -181 399 -122L494 330C500 360 504 382 504 399Z"/></g></svg>-<svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.445681pt" id="M6" height="12.7867pt" version="1.1" viewBox="-0.0657574 -8.34102 10.4711 12.7867" width="10.4711pt"><g transform="matrix(.018,0,0,-0.018,0,0)"><use xlink:href="#g5-234"/></g></svg> White Samples with Applications 

International Journal of Antennas and Propagation

On the Efficient Generation of -- and -- White Samples with Applications

Figure 1