Knowledge (XXG)

Linkwitz–Riley filter

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gain at the cut-off frequency. The resulting Linkwitz–Riley filter has −6 dB gain at the cut-off frequency. This means that, upon summing the low-pass and high-pass outputs, the gain at the crossover frequency will be 0 dB, so the crossover behaves like an
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Comparison of the magnitude response of the summed Butterworth and Linkwitz–Riley low-pass and high-pass 2nd-order filters. The Butterworth filters have a +3dB peak at the crossover frequency, whereas the L-R filters have a flat summed
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filters. Their slope is 24 dB/octave (80 dB/decade). The phase difference amounts to 360°, i.e. the two drives appear in phase, albeit with a full period time delay for the low-pass section.
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filter. A Linkwitz–Riley "L-R" crossover consists of a parallel combination of a low-pass and a high-pass L-R filter. The filters are usually designed by cascading two
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Second-order Linkwitz–Riley crossovers (LR2) have a 12 dB/octave (40 dB/decade) slope. They can be realized by cascading two one-pole filters, or using a
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Eighth-order Linkwitz–Riley crossovers (LR8) have a very steep, 48 dB/octave (160 dB/decade) slope. They can be constructed by cascading two 4th-order
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Fourth-order Linkwitz–Riley crossovers (LR4) are probably today's most commonly used type of audio crossover. They are constructed by cascading two 2nd-order
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crossovers, whose summed output has a +3 dB peak around the crossover frequency. Since cascading two
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this is usually done by reversing the polarity of one driver if the crossover is
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output of the filter, which can be corrected by inverting one signal. In
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in the Journal of the Audio Engineering Society. It is also known as a
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crossovers inversion is usually done using a unity gain inverting
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value of 0.5. There is a 180° phase difference between the
496:"Active Crossover Networks for Noncoincident Drivers" 466:"Active Crossover Networks for Noncoincident Drivers" 526:"Linkwitz-Riley Crossovers: A Primer (RaneNote 160)" 284:)-order Linkwitz–Riley filter, theoretically any (2 241:
Active Crossover Networks for Noncoincident Drivers
376:Eighth-order Linkwitz–Riley crossover (LR8, LR-8) 352:Fourth-order Linkwitz–Riley crossover (LR4, LR-4) 301:Second-order Linkwitz–Riley crossover (LR2, LR-2) 239:. This filter type was originally described in 459: 457: 455: 183: 8: 519: 517: 515: 190: 176: 18: 251:filters, each of which has −3  470:Journal of the Audio Engineering Society 464:Linkwitz, Siegfried H. (February 1976). 451: 21: 16:Type of electronic filter used in audio 7: 435:Linkwitz–Riley Crossovers: A Primer 264:response with a smoothly changing 14: 292:around the crossover frequency. 494:Linkwitz, Siegfried H. (1976). 227:filter used in Linkwitz–Riley 1: 66:Optimum "L" (Legendre) filter 430:Linkwitz Lab: Active Filters 231:, named after its inventors 587: 561:Network synthesis filters 225:infinite impulse response 118:Bridged T delay equaliser 34:Network synthesis filters 440:Glossary: Linkwitz–Riley 425:Linkwitz Lab: Crossovers 84:Image impedance filters 51:Elliptic (Cauer) filter 280:filters will give a (2 260:filter, having a flat 208: 124:Composite image filter 524:Bohn, Dennis (2005). 205: 101:General image filters 71:Linkwitz–Riley filter 245:Butterworth squared 108:(constant R) filter 531:. Rane Corporation 420:Siegfried Linkwitz 415:Partition of unity 410:Butterworth filter 233:Siegfried Linkwitz 209: 41:Butterworth filter 25:electronic filters 566:Audio engineering 320:topology with a Q 318:Sallen Key filter 200: 199: 91:Constant k filter 578: 540: 539: 537: 536: 530: 521: 510: 509: 507: 506: 491: 485: 484: 482: 481: 461: 388: 387: 383: 364: 363: 359: 313: 312: 308: 229:audio crossovers 192: 185: 178: 96:m-derived filter 46:Chebyshev filter 19: 586: 585: 581: 580: 579: 577: 576: 575: 546: 545: 544: 543: 534: 532: 528: 523: 522: 513: 504: 502: 493: 492: 488: 479: 477: 463: 462: 453: 448: 405:Audio crossover 401: 389: 385: 381: 379: 378: 365: 361: 357: 355: 354: 323: 314: 310: 306: 304: 303: 298: 196: 167: 166: 142: 134: 133: 129:mm'-type filter 86: 76: 75: 61:Gaussian filter 36: 24: 17: 12: 11: 5: 584: 582: 574: 573: 568: 563: 558: 556:Linear filters 548: 547: 542: 541: 511: 486: 450: 449: 447: 444: 443: 442: 437: 432: 427: 422: 417: 412: 407: 400: 397: 377: 374: 353: 350: 321: 302: 299: 297: 294: 266:phase response 213:Linkwitz–Riley 198: 197: 195: 194: 187: 180: 172: 169: 168: 165: 164: 159: 154: 149: 143: 141:Simple filters 140: 139: 136: 135: 132: 131: 126: 121: 115: 112:Lattice filter 109: 103: 98: 93: 87: 82: 81: 78: 77: 74: 73: 68: 63: 58: 53: 48: 43: 37: 32: 31: 28: 27: 15: 13: 10: 9: 6: 4: 3: 2: 583: 572: 571:Filter theory 569: 567: 564: 562: 559: 557: 554: 553: 551: 527: 520: 518: 516: 512: 501: 497: 490: 487: 475: 471: 467: 460: 458: 456: 452: 445: 441: 438: 436: 433: 431: 428: 426: 423: 421: 418: 416: 413: 411: 408: 406: 403: 402: 398: 396: 394: 384: 375: 373: 370: 360: 351: 349: 347: 343: 339: 335: 331: 327: 319: 309: 300: 295: 293: 291: 287: 283: 279: 275: 271: 267: 263: 259: 254: 250: 246: 242: 238: 234: 230: 226: 222: 218: 214: 204: 193: 188: 186: 181: 179: 174: 173: 171: 170: 163: 160: 158: 155: 153: 150: 148: 145: 144: 138: 137: 130: 127: 125: 122: 119: 116: 113: 110: 107: 106:Zobel network 104: 102: 99: 97: 94: 92: 89: 88: 85: 80: 79: 72: 69: 67: 64: 62: 59: 57: 56:Bessel filter 54: 52: 49: 47: 44: 42: 39: 38: 35: 30: 29: 26: 23:Linear analog 20: 533:. Retrieved 503:. Retrieved 500:Linkwitz Lab 499: 489: 478:. Retrieved 473: 469: 390: 366: 334:loudspeakers 315: 296:Common types 285: 281: 273: 244: 240: 220: 216: 212: 210: 70: 393:Butterworth 369:Butterworth 290:group delay 278:Butterworth 270:Butterworth 249:Butterworth 550:Categories 535:2024-05-05 505:2024-05-05 480:2024-05-05 446:References 237:Russ Riley 162:RLC filter 120:(all-pass) 114:(all-pass) 395:filters. 330:high-pass 262:amplitude 157:LC filter 152:RL filter 147:RC filter 476:(1): 2–8 399:See also 326:low-pass 258:all-pass 338:passive 276:-order 207:output. 380:": --> 356:": --> 346:op-amp 342:active 340:. For 305:": --> 223:is an 221:filter 529:(PDF) 382:edit 358:edit 328:and 307:edit 235:and 217:L-R 552:: 514:^ 498:. 474:24 472:. 468:. 454:^ 348:. 253:dB 219:) 211:A 538:. 508:. 483:. 386:] 362:] 322:0 311:] 286:n 282:n 274:n 215:( 191:e 184:t 177:v

Index

Linear analog
electronic filters

Network synthesis filters
Butterworth filter
Chebyshev filter
Elliptic (Cauer) filter
Bessel filter
Gaussian filter
Optimum "L" (Legendre) filter
Linkwitz–Riley filter
Image impedance filters
Constant k filter
m-derived filter
General image filters
Zobel network
Lattice filter
Bridged T delay equaliser
Composite image filter
mm'-type filter
RC filter
RL filter
LC filter
RLC filter
v
t
e

infinite impulse response
audio crossovers
Siegfried Linkwitz
Russ Riley

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