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List of unsolved problems in information theory

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89:: The capacity of the interference channel, in the case where there are two transmitter and receiver pairs that interfere among each other, is unknown in general. Capacity is known in special cases: strong interference regime, injective-deterministic. Capacity is known in approximate sense or within a range for: injective-semi-deterministic, additive white Gaussian noise with per block power constraint. 114:
policy, whether the feedback capacity of the queue channel is strictly greater than the capacity without feedback is unknown for general service time distributions though it is known that the two quantities are equal when the service time distribution is
23: 83:: The capacity of the broadcast channel, or the case in which a single transmitter is sending information to many receivers, is unknown in general, though it is known for several specific cases. 142:: The best way to compress correlated information sources using encoders that do not communicate with each other, preserving each source to within its distortion metric, is not known. 585: 548: 595: 620: 610: 630: 600: 590: 580: 570: 325: 615: 432: 247: 625: 575: 651: 195: 494: 104:: The ALOHAnet used a very simple access scheme for which the capacity is still unknown, though it is known in a few special cases. 111: 453: 541: 95:: The capacity of the two-way channel (a channel in which information is sent in both directions simultaneously) is unknown. 19: 27: 558: 534: 34: 138: 356: 348: 258: 228: 38: 161: 490: 428: 191: 526: 420: 390: 340: 321: 220: 123: 74: 70: 66: 69:
is not known. There are some specific cases for which the capacity is known, such as the
326:"Capacity of Time-Slotted ALOHA Packetized Multiple-Access Systems Over the AWGN Channel" 505: 22:
and may never be able to satisfy particular standards for completeness. You can help by
184: 116: 46: 645: 42: 232: 352: 484: 424: 409: 50: 344: 100: 394: 224: 285:
Proc Fourth Berkeley Sump on Mathematical Statistics and Probability
415:. In Alon N.; Bourgain J.; Connes A.; Gromov M.; Milman V. (eds.). 419:. Modern Birkhäuser Classics. Birkhäuser Basel. pp. 816–838. 302:
meeuwissen, Erik (16 Aug 1998). "The Origin of Two-Way Channels".
381:
Anantharam, Venkat; Verdu, Sergio (1996). "Bits through queues".
530: 211:
Cover, Thomas (Oct 1998). "Comments on Broadcast Channels".
127:: The capacity of a quantum channel is in general not known. 162:"Open Problems in the Study of Information and Computation" 283:
Shannon, Claude (1961). "Two-way communication channels".
417:
Visions in Mathematics, GAFA 2000 Special Volume: Part II
410:"Quantum Information Theory: Results and Open Problems" 183: 486:Information theory: new trends and open problems 87:Capacity of the interference channel (Two User) 455:Open Problems in Communication and Computation 49:. There are also related unsolved problems in 542: 8: 333:IEEE Transactions on Wireless Communications 476:Selected Unsolved Problems in Coding Theory 549: 535: 527: 152: 513:Information Theory Society Newsletter 7: 452:Cover, Thomas; Gopinath, B. (1987). 474:David Joyner; Jon-Lark Kim (2010). 14: 81:Capacity of the broadcast channel 139:Lossy distributed source coding 93:Capacity of the two-way channel 186:Elements of Information Theory 1: 108:Capacity of the queue channel 506:"It's Easier to Approximate" 182:Cover, Thomas (1991-08-26). 65:: The capacity of a general 425:10.1007/978-3-0346-0425-3_9 41:. These are separated into 33:This article lists notable 668: 652:Lists of unsolved problems 17: 566: 483:Longo, Giuseppe (1975). 345:10.1109/TWC.2003.821175 190:. Wiley-Interscience. 478:. New York: Springer. 383:IEEE Trans Inf Theory 213:IEEE Trans Inf Theory 63:Capacity of a network 408:Shor, Peter (2000). 248:"Broadcast Channels" 24:adding missing items 504:Tse, David (1996). 362:on 18 December 2011 246:Sridharan, Arvind. 606:Information theory 160:Adriaans, Pieter. 39:information theory 639: 638: 559:unsolved problems 461:. Springer-Verlag 434:978-3-0346-0425-3 395:10.1109/18.481773 264:on 29 August 2017 225:10.1109/18.720547 35:unsolved problems 659: 586:Computer science 551: 544: 537: 528: 523: 521: 519: 510: 500: 479: 470: 468: 466: 460: 439: 438: 414: 405: 399: 398: 378: 372: 371: 369: 367: 361: 355:. Archived from 330: 318: 312: 311: 299: 293: 292: 280: 274: 273: 271: 269: 263: 257:. Archived from 252: 243: 237: 236: 208: 202: 201: 189: 179: 173: 172: 170: 168: 157: 124:Quantum capacity 67:wireless network 28:reliable sources 667: 666: 662: 661: 660: 658: 657: 656: 642: 641: 640: 635: 562: 555: 517: 515: 508: 503: 497: 482: 473: 464: 462: 458: 451: 448: 446:Further reading 443: 442: 435: 412: 407: 406: 402: 380: 379: 375: 365: 363: 359: 328: 320: 319: 315: 301: 300: 296: 282: 281: 277: 267: 265: 261: 250: 245: 244: 240: 210: 209: 205: 198: 181: 180: 176: 166: 164: 159: 158: 154: 149: 134: 59: 31: 12: 11: 5: 665: 663: 655: 654: 644: 643: 637: 636: 634: 633: 628: 623: 618: 613: 608: 603: 598: 593: 588: 583: 578: 573: 567: 564: 563: 556: 554: 553: 546: 539: 531: 525: 524: 501: 495: 480: 471: 447: 444: 441: 440: 433: 400: 373: 339:(2): 486–499. 324:(March 2004). 322:MĂ©dard, Muriel 313: 294: 275: 238: 203: 197:978-0471062592 196: 174: 151: 150: 148: 145: 144: 143: 133: 130: 129: 128: 120: 105: 96: 90: 84: 78: 75:fading channel 58: 57:Channel coding 55: 47:channel coding 13: 10: 9: 6: 4: 3: 2: 664: 653: 650: 649: 647: 632: 629: 627: 624: 622: 619: 617: 614: 612: 609: 607: 604: 602: 599: 597: 596:Fair division 594: 592: 589: 587: 584: 582: 579: 577: 574: 572: 569: 568: 565: 561:by discipline 560: 552: 547: 545: 540: 538: 533: 532: 529: 514: 507: 502: 498: 496:9783211813782 492: 488: 487: 481: 477: 472: 457: 456: 450: 449: 445: 436: 430: 426: 422: 418: 411: 404: 401: 396: 392: 388: 384: 377: 374: 358: 354: 350: 346: 342: 338: 334: 327: 323: 317: 314: 309: 305: 298: 295: 290: 286: 279: 276: 260: 256: 249: 242: 239: 234: 230: 226: 222: 218: 214: 207: 204: 199: 193: 188: 187: 178: 175: 163: 156: 153: 146: 141: 140: 136: 135: 132:Source coding 131: 126: 125: 121: 118: 113: 109: 106: 103: 102: 97: 94: 91: 88: 85: 82: 79: 76: 72: 68: 64: 61: 60: 56: 54: 52: 48: 44: 43:source coding 40: 36: 29: 25: 21: 16: 621:Neuroscience 605: 516:. Retrieved 512: 489:. Springer. 485: 475: 463:. Retrieved 454: 416: 403: 386: 382: 376: 364:. Retrieved 357:the original 336: 332: 316: 307: 303: 297: 288: 284: 278: 266:. Retrieved 259:the original 254: 241: 216: 212: 206: 185: 177: 165:. Retrieved 155: 137: 122: 107: 99:Capacity of 98: 92: 86: 80: 71:AWGN channel 62: 32: 20:dynamic list 15: 611:Mathematics 557:Well-known 465:11 February 389:(1): 4-18. 219:(6): 2524. 631:Statistics 601:Geoscience 255:Notre Dame 147:References 117:memoryless 110:: Under a 51:philosophy 18:This is a 591:Economics 581:Chemistry 571:Astronomy 304:Proc ISIT 646:Category 616:Medicine 626:Physics 576:Biology 518:26 June 366:11 July 233:8985406 167:21 June 493:  431:  353:791018 351:  310:: 185. 291:: 611. 268:6 July 231:  194:  509:(PDF) 459:(PDF) 413:(PDF) 360:(PDF) 349:S2CID 329:(PDF) 262:(PDF) 251:(PDF) 229:S2CID 101:Aloha 26:with 520:2013 491:ISBN 467:2021 429:ISBN 368:2014 270:2014 192:ISBN 169:2013 112:FIFO 73:and 45:and 421:doi 391:doi 341:doi 221:doi 37:in 648:: 511:. 427:. 387:42 385:. 347:. 335:. 331:. 306:. 287:. 253:. 227:. 217:44 215:. 53:. 550:e 543:t 536:v 522:. 499:. 469:. 437:. 423:: 397:. 393:: 370:. 343:: 337:3 308:I 289:1 272:. 235:. 223:: 200:. 171:. 119:. 77:. 30:.

Index

dynamic list
adding missing items
reliable sources
unsolved problems
information theory
source coding
channel coding
philosophy
wireless network
AWGN channel
fading channel
Aloha
FIFO
memoryless
Quantum capacity
Lossy distributed source coding
"Open Problems in the Study of Information and Computation"
Elements of Information Theory
ISBN
978-0471062592
doi
10.1109/18.720547
S2CID
8985406
"Broadcast Channels"
the original
MĂ©dard, Muriel
"Capacity of Time-Slotted ALOHA Packetized Multiple-Access Systems Over the AWGN Channel"
doi
10.1109/TWC.2003.821175

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