38:
549:
806:
describes the decomposition of periodic waveforms, such that any periodic waveform can be formed by the sum of a (possibly infinite) set of fundamental and harmonic components. Finite-energy non-periodic waveforms can be analyzed into sinusoids by the
62:
780:
664:
61:
63:
417:
75:
1000:
86:
73:
432:
85:
74:
87:
679:
568:
275:
323:
299:
251:
1026:
Fulvio Gini, Antonio De Maio, and Lee Patton, eds. Waveform design and diversity for advanced radar systems. Institution of engineering and technology, 2012.
64:
814:
Other periodic waveforms are often called composite waveforms and can often be described as a combination of a number of sinusoidal waves or other
339:
210:, that can output a periodic voltage or current with one of several waveforms, are a common tool in electronics laboratories and workshops.
76:
544:{\textstyle (t,\lambda ,a,\phi )={\begin{cases}a,(t-\phi ){\bmod {\lambda }}<{\text{duty}}\\-a,{\text{otherwise}}\end{cases}}.}
88:
1219:
782:
This looks like the teeth of a saw. Found often in time bases for display scanning. It is used as the starting point for
1014:
1097:
945:
932:
827:
1017:. Uppsala Dissertations from the Faculty of Science and Technology (printed by Elanders Sverige AB), 2014.
141:
31:
17:
471:
775:{\textstyle (t,\lambda ,a,\phi )={\frac {2a}{\pi }}\arctan \tan {\frac {2\pi t-\phi }{2\lambda }}.}
659:{\textstyle (t,\lambda ,a,\phi )={\frac {2a}{\pi }}\arcsin \sin {\frac {2\pi t-\phi }{\lambda }}.}
198:
device to record the waveform of the electric signals that are associated with the beating of the
1244:
1212:
857:
120:
167:
in air or other media. In these cases, the waveform is an attribute that is independent of the
260:
1122:
783:
222:
156:
1090:
1043:
551:
This waveform is commonly used to represent digital information. A square wave of constant
308:
1023:
Jian Li, and Petre Stoica, eds. Robust adaptive beamforming. New Jersey: John Wiley, 2006.
8:
842:
191:
116:
1047:
186:
or any other device that can capture and plot its value at various times, with suitable
1287:
1205:
1176:
1001:
Signal design for good correlation: for wireless communication, cryptography, and radar
981:
284:
236:
207:
1171:
928:
862:
808:
128:
1139:
1051:
867:
852:
847:
152:
1117:
1083:
975:
Common
Waveform Analysis: A New And Practical Generalization of Fourier Analysis.
872:
815:
1031:
803:
1281:
1264:
1254:
1154:
1069:
673:
562:
420:
326:
187:
123:
53:
49:
1055:
1008:
Digital coding of waveforms: principles and applications to speech and video
1159:
985:
900:
837:
832:
183:
164:
1259:
877:
426:
412:{\textstyle (t,\lambda ,a,\phi )=a\sin {\frac {2\pi t-\phi }{\lambda }}.}
218:
176:
133:
100:
93:
45:
136:. The term can also be used for non-periodic or aperiodic signals, like
1249:
996:
278:
1239:
787:
552:
333:
302:
203:
172:
168:
104:
41:
990:
Waveform design for active sensing systems: a computational approach
1181:
1149:
1134:
791:
667:
556:
233:
Simple examples of periodic waveforms include the following, where
195:
1029:
795:
148:
1020:
Nadav
Levanon, and Eli Mozeson. Radar signals. Wiley. com, 2004.
1165:
1128:
1106:
989:
214:
112:
1144:
1030:
Benedetto, J. J.; Konstantinidis, I.; Rangaswamy, M. (2009).
496:
199:
182:
The waveform of an electrical signal can be visualized in an
160:
137:
1197:
147:
In electronics, the term is usually applied to time-varying
37:
534:
254:
946:"IEC 60050 — Details for IEV number 103-10-02: "waveform""
159:. In acoustics, it is usually applied to steady periodic
1075:
682:
571:
435:
342:
311:
287:
263:
239:
225:
can generate sounds with many complicated waveforms.
213:
The waveform of a steady periodic sound affects its
80:
A composite waveform that is shaped like a teardrop.
1015:
Signal Design for Active
Sensing and Communications
119:as a function of time, independent of its time and
774:
658:
543:
411:
317:
293:
269:
245:
1279:
1213:
1091:
228:
68:A sine, square, and sawtooth wave at 440 Hz
1220:
1206:
1098:
1084:
950:International Electrotechnical Vocabulary
895:
893:
1032:"Phase-Coded Waveforms and Their Design"
419:The amplitude of the waveform follows a
83:
71:
59:
36:
14:
1280:
1006:Jayant, Nuggehally S and Noll, Peter.
890:
1201:
1079:
1070:Collection of single cycle waveforms
670:that decrease at −12 dB/octave.
1003:. Cambridge University Press, 2005.
992:. Cambridge University Press, 2012.
559:that decrease at −6 dB/octave.
423:sine function with respect to time.
24:
967:
938:
25:
1299:
1063:
786:, as a sawtooth wave of constant
190:in the time and value axes. The
126:and of any displacement in time.
1036:IEEE Signal Processing Magazine
132:repeat regularly at a constant
923:David Crecraft, David Gorham,
917:
707:
683:
596:
572:
492:
480:
460:
436:
367:
343:
202:; that waveform has important
27:The shape and form of a signal
13:
1:
1227:
1010:. Englewood Cliffs, NJ, 1984.
883:
1072:sampled from various sources
828:Arbitrary waveform generator
7:
973:Yuchuan Wei, Qishan Zhang.
821:
10:
1304:
1105:
107:, and related fields, the
92:A waveform generated by a
29:
1235:
1113:
977:Springer US, Aug 31, 2000
229:Common periodic waveforms
32:Waveform (disambiguation)
935:, CRC Press, 2002, p. 62
270:{\displaystyle \lambda }
1056:10.1109/MSP.2008.930416
995:Solomon W. Golomb, and
858:Phase offset modulation
790:contains odd and even
776:
660:
545:
413:
319:
295:
271:
247:
157:electromagnetic fields
96:
81:
69:
57:
1123:Fundamental frequency
901:"Waveform Definition"
784:subtractive synthesis
777:
661:
546:
414:
320:
318:{\displaystyle \phi }
296:
272:
248:
91:
79:
67:
40:
794:that decrease at −6
680:
569:
433:
340:
309:
285:
261:
237:
115:is the shape of its
30:For other uses, see
1048:2009ISPM...26...22B
843:Continuous waveform
208:Waveform generators
1177:Sympathetic string
772:
656:
541:
533:
409:
315:
291:
267:
243:
192:electrocardiograph
129:Periodic waveforms
97:
82:
70:
58:
1275:
1274:
1195:
1194:
1172:Spectral envelope
863:Spectrum analyzer
809:Fourier transform
767:
726:
651:
615:
529:
511:
404:
294:{\displaystyle a}
246:{\displaystyle t}
89:
77:
65:
16:(Redirected from
1295:
1250:Rectangular wave
1222:
1215:
1208:
1199:
1198:
1100:
1093:
1086:
1077:
1076:
1059:
1013:M. Soltanalian.
961:
960:
958:
957:
942:
936:
921:
915:
914:
912:
911:
897:
868:Waveform monitor
853:Frequency domain
848:Envelope (music)
818:added together.
781:
779:
778:
773:
768:
766:
758:
741:
727:
722:
714:
666:It contains odd
665:
663:
662:
657:
652:
647:
630:
616:
611:
603:
550:
548:
547:
542:
537:
536:
530:
527:
512:
509:
504:
503:
418:
416:
415:
410:
405:
400:
383:
324:
322:
321:
316:
300:
298:
297:
292:
276:
274:
273:
268:
252:
250:
249:
244:
163:— variations of
90:
78:
66:
21:
1303:
1302:
1298:
1297:
1296:
1294:
1293:
1292:
1278:
1277:
1276:
1271:
1231:
1226:
1196:
1191:
1140:Microinflection
1118:Colors of noise
1109:
1104:
1066:
970:
968:Further reading
965:
964:
955:
953:
944:
943:
939:
922:
918:
909:
907:
899:
898:
891:
886:
873:Waveform viewer
824:
816:basis functions
759:
742:
740:
715:
713:
681:
678:
677:
631:
629:
604:
602:
570:
567:
566:
532:
531:
526:
514:
513:
508:
499:
495:
467:
466:
434:
431:
430:
384:
382:
341:
338:
337:
310:
307:
306:
286:
283:
282:
262:
259:
258:
238:
235:
234:
231:
179:of the signal.
84:
72:
60:
35:
28:
23:
22:
15:
12:
11:
5:
1301:
1291:
1290:
1273:
1272:
1270:
1269:
1268:
1267:
1262:
1257:
1252:
1245:Non-sinusoidal
1242:
1236:
1233:
1232:
1225:
1224:
1217:
1210:
1202:
1193:
1192:
1190:
1189:
1184:
1179:
1174:
1169:
1162:
1157:
1152:
1147:
1142:
1137:
1132:
1125:
1120:
1114:
1111:
1110:
1103:
1102:
1095:
1088:
1080:
1074:
1073:
1065:
1064:External links
1062:
1061:
1060:
1027:
1024:
1021:
1018:
1011:
1004:
993:
978:
969:
966:
963:
962:
937:
916:
888:
887:
885:
882:
881:
880:
875:
870:
865:
860:
855:
850:
845:
840:
835:
830:
823:
820:
804:Fourier series
800:
799:
771:
765:
762:
757:
754:
751:
748:
745:
739:
736:
733:
730:
725:
721:
718:
712:
709:
706:
703:
700:
697:
694:
691:
688:
685:
671:
655:
650:
646:
643:
640:
637:
634:
628:
625:
622:
619:
614:
610:
607:
601:
598:
595:
592:
589:
586:
583:
580:
577:
574:
560:
540:
535:
525:
522:
519:
516:
515:
507:
502:
498:
494:
491:
488:
485:
482:
479:
476:
473:
472:
470:
465:
462:
459:
456:
453:
450:
447:
444:
441:
438:
424:
408:
403:
399:
396:
393:
390:
387:
381:
378:
375:
372:
369:
366:
363:
360:
357:
354:
351:
348:
345:
314:
290:
266:
242:
230:
227:
26:
9:
6:
4:
3:
2:
1300:
1289:
1286:
1285:
1283:
1266:
1265:Triangle wave
1263:
1261:
1258:
1256:
1255:Sawtooth wave
1253:
1251:
1248:
1247:
1246:
1243:
1241:
1238:
1237:
1234:
1230:
1223:
1218:
1216:
1211:
1209:
1204:
1203:
1200:
1188:
1185:
1183:
1180:
1178:
1175:
1173:
1170:
1168:
1167:
1163:
1161:
1158:
1156:
1153:
1151:
1148:
1146:
1143:
1141:
1138:
1136:
1133:
1131:
1130:
1126:
1124:
1121:
1119:
1116:
1115:
1112:
1108:
1101:
1096:
1094:
1089:
1087:
1082:
1081:
1078:
1071:
1068:
1067:
1057:
1053:
1049:
1045:
1041:
1037:
1033:
1028:
1025:
1022:
1019:
1016:
1012:
1009:
1005:
1002:
998:
994:
991:
987:
983:
979:
976:
972:
971:
952:(in Japanese)
951:
947:
941:
934:
930:
926:
920:
906:
905:techterms.com
902:
896:
894:
889:
879:
876:
874:
871:
869:
866:
864:
861:
859:
856:
854:
851:
849:
846:
844:
841:
839:
836:
834:
831:
829:
826:
825:
819:
817:
812:
810:
805:
797:
793:
789:
785:
769:
763:
760:
755:
752:
749:
746:
743:
737:
734:
731:
728:
723:
719:
716:
710:
704:
701:
698:
695:
692:
689:
686:
675:
674:Sawtooth wave
672:
669:
653:
648:
644:
641:
638:
635:
632:
626:
623:
620:
617:
612:
608:
605:
599:
593:
590:
587:
584:
581:
578:
575:
564:
563:Triangle wave
561:
558:
555:contains odd
554:
538:
523:
520:
517:
505:
500:
489:
486:
483:
477:
474:
468:
463:
457:
454:
451:
448:
445:
442:
439:
428:
425:
422:
421:trigonometric
406:
401:
397:
394:
391:
388:
385:
379:
376:
373:
370:
364:
361:
358:
355:
352:
349:
346:
335:
332:
331:
330:
328:
312:
304:
288:
280:
264:
256:
240:
226:
224:
220:
216:
211:
209:
205:
201:
197:
193:
189:
185:
180:
178:
174:
170:
166:
162:
158:
154:
150:
145:
143:
139:
135:
131:
130:
125:
122:
118:
114:
110:
106:
102:
95:
55:
51:
47:
43:
39:
33:
19:
1228:
1186:
1164:
1160:Rustle noise
1127:
1039:
1035:
1007:
986:Petre Stoica
974:
954:. Retrieved
949:
940:
924:
919:
908:. Retrieved
904:
838:Crest factor
833:Carrier wave
813:
801:
232:
219:Synthesizers
212:
184:oscilloscope
181:
146:
127:
108:
98:
1260:Square wave
927:, 2nd ed.,
925:Electronics
878:Wave packet
427:Square wave
221:and modern
177:phase shift
101:electronics
94:synthesizer
997:Guang Gong
956:2023-10-18
933:0748770364
910:2015-12-09
884:References
279:wavelength
204:diagnostic
56:waveforms.
1288:Waveforms
1240:Sine wave
1229:Waveforms
1042:(1): 22.
792:harmonics
764:λ
756:ϕ
753:−
747:π
738:
732:
724:π
705:ϕ
693:λ
668:harmonics
649:λ
645:ϕ
642:−
636:π
627:
621:
613:π
594:ϕ
582:λ
557:harmonics
528:otherwise
518:−
501:λ
490:ϕ
487:−
458:ϕ
446:λ
402:λ
398:ϕ
395:−
389:π
380:
365:ϕ
353:λ
334:Sine wave
313:ϕ
303:amplitude
265:λ
223:keyboards
173:amplitude
169:frequency
121:magnitude
105:acoustics
18:Waveforms
1282:Category
1187:Waveform
1182:Tonality
1150:Overtone
1135:Loudness
980:Hao He,
822:See also
798:/octave.
206:value.
165:pressure
153:currents
149:voltages
109:waveform
54:sawtooth
50:triangle
1044:Bibcode
982:Jian Li
196:medical
1166:Sawari
1129:Jivari
1107:Timbre
984:, and
931:
788:period
729:arctan
618:arcsin
553:period
215:timbre
188:scales
161:sounds
142:pulses
138:chirps
134:period
124:scales
113:signal
52:, and
46:square
1155:Pitch
1145:Noise
327:phase
200:heart
194:is a
175:, or
155:, or
117:graph
111:of a
929:ISBN
802:The
510:duty
506:<
305:and
255:time
140:and
42:Sine
1052:doi
735:tan
624:sin
497:mod
377:sin
325:is
301:is
277:is
253:is
217:.
99:In
1284::
1050:.
1040:26
1038:.
1034:.
999:.
988:.
948:.
903:.
892:^
811:.
796:dB
676::
565::
429::
336::
329::
281:,
257:,
171:,
151:,
144:.
103:,
48:,
44:,
1221:e
1214:t
1207:v
1099:e
1092:t
1085:v
1058:.
1054::
1046::
959:.
913:.
770:.
761:2
750:t
744:2
720:a
717:2
711:=
708:)
702:,
699:a
696:,
690:,
687:t
684:(
654:.
639:t
633:2
609:a
606:2
600:=
597:)
591:,
588:a
585:,
579:,
576:t
573:(
539:.
524:,
521:a
493:)
484:t
481:(
478:,
475:a
469:{
464:=
461:)
455:,
452:a
449:,
443:,
440:t
437:(
407:.
392:t
386:2
374:a
371:=
368:)
362:,
359:a
356:,
350:,
347:t
344:(
289:a
241:t
34:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
