Help with time variation graphs versus time

Hi everyone.

Can you help me on how I can obtain this type of graphs (see example), which represent amplitude variations at a certain frequency with respect to time. Note that the Y axis is in logarithmic. A small sample of my data is:

Date time Freq Amplitude

2010/01/01 00:00 0.109864 2.04021

2010/01/01 00:00 0.122071 2.8937

2010/01/01 00:00 0.134278 2.84502

2010/01/01 00:00 0.146485 2.92267

2010/01/01 00:00 0.158692 3.11156

2010/01/01 00:00 0.170899 3.41533

2010/01/01 00:00 0.183107 3.10193

2010/01/01 00:00 0.195314 3.32969

2010/01/01 00:00 0.207521 3.29483

2010/01/01 00:00 0.219728 3.21573

Thank to all

[Voss]

Looks like a surface. (See: surf.) Upload a data file using the paperclip icon if you want help creating such a surface.

Answer 1

[Voss]

Here's an example, using made-up data in a file that more-or-less follows your file's format as far as I can tell:

file_name = 'test_table.txt';
type(file_name)

Date            time    Freq       Amplitude
2008/01/01 00:00 0.1 1.05376671395461
2008/01/01 00:00 0.121152765862859 1.01686334884324
2008/01/01 00:00 0.146779926762207 1.31921018705313
2008/01/01 00:00 0.177827941003892 1.36001425088086
2008/01/01 00:00 0.215443469003188 1.18065057211654
2008/01/01 00:00 0.261015721568254 1.54147002930476
2008/01/01 00:00 0.316227766016838 1.5346264983642
2008/01/01 00:00 0.383118684955729 1.65765711621635
2008/01/01 00:00 0.464158883361278 1.82359932017119
2008/01/01 00:00 0.562341325190349 1.94339866132322
2008/01/01 00:00 0.681292069057961 2.07741618435961
2008/01/01 00:00 0.825404185268018 2.13392614088536
2008/01/01 00:00 1 2.31873029292334
2008/01/01 00:00 1.21152765862859 2.54722230391838
2008/01/01 00:00 1.46779926762207 2.92480951445542
2008/01/01 00:00 1.77827941003892 2.88850618940738
2008/01/01 00:00 2.15443469003188 2.83338361748059
2008/01/01 00:00 2.61015721568254 2.7851204932797
2008/01/01 00:00 3.16227766016838 2.22355905613086
2008/01/01 00:00 3.83118684955729 1.99779452658037
2008/01/01 00:00 4.64158883361278 1.77784105635415
2008/01/01 00:00 5.62341325190349 1.48725921926557
2008/01/01 00:00 6.81292069057961 1.01836732624321
2008/01/01 00:00 8.25404185268018 0.918023198111923
2008/01/01 00:00 10 0.501597479824651
2008/02/01 00:00 0.1 1.18338850145951
2008/02/01 00:00 0.121152765862859 1.00207936948327
2008/02/01 00:00 0.146779926762207 1.03881696113222
2008/02/01 00:00 0.177827941003892 1.35939307956488
2008/02/01 00:00 0.215443469003188 1.36665929327363
2008/02/01 00:00 0.261015721568254 1.53484411999523
2008/02/01 00:00 0.316227766016838 1.47706063510008
2008/02/01 00:00 0.383118684955729 1.73615871648481
2008/02/01 00:00 0.464158883361278 1.71648270362167
2008/02/01 00:00 0.562341325190349 1.95201435926249
2008/02/01 00:00 0.681292069057961 2.02656547179788
2008/02/01 00:00 0.825404185268018 2.23275590400444
2008/02/01 00:00 1 2.35615800653031
2008/02/01 00:00 1.21152765862859 2.72416012513525
2008/02/01 00:00 1.46779926762207 3.08092318535651
2008/02/01 00:00 1.77827941003892 3.06852524279329
2008/02/01 00:00 2.15443469003188 2.9478374683115
2008/02/01 00:00 2.61015721568254 2.41023352325553
2008/02/01 00:00 3.16227766016838 2.3410137543312
2008/02/01 00:00 3.83118684955729 1.99912420712479
2008/02/01 00:00 4.64158883361278 1.67535448898562
2008/02/01 00:00 5.62341325190349 1.41179153906702
2008/02/01 00:00 6.81292069057961 1.11151475361981
2008/02/01 00:00 8.25404185268018 0.837739506453176
2008/02/01 00:00 10 0.611065917773863
2008/03/01 00:00 0.1 0.774115313899635
2008/03/01 00:00 0.121152765862859 0.9843598344336
2008/03/01 00:00 0.146779926762207 1.19755380633641
2008/03/01 00:00 0.177827941003892 1.08139783872518
2008/03/01 00:00 0.215443469003188 1.47135433025641
2008/03/01 00:00 0.261015721568254 1.53492544166637
2008/03/01 00:00 0.316227766016838 1.57290348700367
2008/03/01 00:00 0.383118684955729 1.66481107580539
2008/03/01 00:00 0.464158883361278 1.67240448365918
2008/03/01 00:00 0.562341325190349 1.79077554826584
2008/03/01 00:00 0.681292069057961 1.97648944690767
2008/03/01 00:00 0.825404185268018 2.35081270791456
2008/03/01 00:00 1 2.48586099946355
2008/03/01 00:00 1.21152765862859 2.58423693171875
2008/03/01 00:00 1.46779926762207 2.77678151382244
2008/03/01 00:00 1.77827941003892 3.10376732152795
2008/03/01 00:00 2.15443469003188 2.79589418669878
2008/03/01 00:00 2.61015721568254 2.42213158208922
2008/03/01 00:00 3.16227766016838 2.22100672509395
2008/03/01 00:00 3.83118684955729 2.09294551311499
2008/03/01 00:00 4.64158883361278 1.60964683461092
2008/03/01 00:00 5.62341325190349 1.249694520509
2008/03/01 00:00 6.81292069057961 1.12070686648655
2008/03/01 00:00 8.25404185268018 0.899157435763539
2008/03/01 00:00 10 0.475062610801024
2008/04/01 00:00 0.1 1.08621733203681
2008/04/01 00:00 0.121152765862859 1.0466442890684
2008/04/01 00:00 0.146779926762207 1.00511528231011
2008/04/01 00:00 0.177827941003892 1.16729568504797
2008/04/01 00:00 0.215443469003188 1.43174077332345
2008/04/01 00:00 0.261015721568254 1.42707527323705
2008/04/01 00:00 0.316227766016838 1.51000499326572
2008/04/01 00:00 0.383118684955729 1.72695407079731
2008/04/01 00:00 0.464158883361278 1.86170350812806
2008/04/01 00:00 0.562341325190349 1.87742055481975
2008/04/01 00:00 0.681292069057961 2.18772922249592
2008/04/01 00:00 0.825404185268018 2.11110910421388
2008/04/01 00:00 1 2.41952159352383
2008/04/01 00:00 1.21152765862859 2.46263982154064
2008/04/01 00:00 1.46779926762207 2.82870321468934
2008/04/01 00:00 1.77827941003892 3.18222115284311
2008/04/01 00:00 2.15443469003188 2.81793409093424
2008/04/01 00:00 2.61015721568254 2.50773587633933
2008/04/01 00:00 3.16227766016838 2.31616371293693
2008/04/01 00:00 3.83118684955729 1.99095676879651
2008/04/01 00:00 4.64158883361278 1.65040977418406
2008/04/01 00:00 5.62341325190349 1.49218352197827
2008/04/01 00:00 6.81292069057961 1.05554381908674
2008/04/01 00:00 8.25404185268018 0.860345188444795
2008/04/01 00:00 10 0.549570163338674
2008/05/01 00:00 0.1 1.0318765239859
2008/05/01 00:00 0.121152765862859 0.899736426411694
2008/05/01 00:00 0.146779926762207 1.30204980144527
2008/05/01 00:00 0.177827941003892 1.15589864023611
2008/05/01 00:00 0.215443469003188 1.44136103902931
2008/05/01 00:00 0.261015721568254 1.5326840248763
2008/05/01 00:00 0.316227766016838 1.57143138623982
2008/05/01 00:00 0.383118684955729 1.44355506438789
2008/05/01 00:00 0.464158883361278 1.86127015037073
2008/05/01 00:00 0.562341325190349 1.85950782234508
2008/05/01 00:00 0.681292069057961 2.06092394024412
2008/05/01 00:00 0.825404185268018 2.10407153694964
2008/05/01 00:00 1 2.48888621538827
2008/05/01 00:00 1.21152765862859 2.68708381547179
2008/05/01 00:00 1.46779926762207 2.75353955101066
2008/05/01 00:00 1.77827941003892 2.94710115069232
2008/05/01 00:00 2.15443469003188 2.91011296060131
2008/05/01 00:00 2.61015721568254 2.40020729163724
2008/05/01 00:00 3.16227766016838 2.49779039973635
2008/05/01 00:00 3.83118684955729 1.73588542125085
2008/05/01 00:00 4.64158883361278 1.73744947861513
2008/05/01 00:00 5.62341325190349 1.41632449131484
2008/05/01 00:00 6.81292069057961 0.987951025731579
2008/05/01 00:00 8.25404185268018 0.720711387808984
2008/05/01 00:00 10 0.516203749310054
2008/06/01 00:00 0.1 0.869231170369473
2008/06/01 00:00 0.121152765862859 1.19642294226316
2008/06/01 00:00 0.146779926762207 1.28617163023934
2008/06/01 00:00 0.177827941003892 1.34018444970398
2008/06/01 00:00 0.215443469003188 1.34229144163621
2008/06/01 00:00 0.261015721568254 1.44851183670735
2008/06/01 00:00 0.316227766016838 1.55375784556463
2008/06/01 00:00 0.383118684955729 1.74658641280788
2008/06/01 00:00 0.464158883361278 1.82893811552949
2008/06/01 00:00 0.562341325190349 1.952785921542
2008/06/01 00:00 0.681292069057961 1.98897261209968
2008/06/01 00:00 0.825404185268018 2.15072806957453
2008/06/01 00:00 1 2.40692218210393
2008/06/01 00:00 1.21152765862859 2.44314666978588
2008/06/01 00:00 1.46779926762207 2.83843177767123
2008/06/01 00:00 1.77827941003892 2.83720332670044
2008/06/01 00:00 2.15443469003188 3.00839825368646
2008/06/01 00:00 2.61015721568254 2.56428999422773
2008/06/01 00:00 3.16227766016838 2.37952664273098
2008/06/01 00:00 3.83118684955729 1.95138500077004
2008/06/01 00:00 4.64158883361278 1.46294679008189
2008/06/01 00:00 5.62341325190349 1.31853291611767
2008/06/01 00:00 6.81292069057961 1.14353579626223
2008/06/01 00:00 8.25404185268018 0.893081805262035
2008/06/01 00:00 10 0.621182098411518
2008/07/01 00:00 0.1 0.956640797769432
2008/07/01 00:00 0.121152765862859 1.15200601014555
2008/07/01 00:00 0.146779926762207 1.20011620834835
2008/07/01 00:00 0.177827941003892 1.44702012808485
2008/07/01 00:00 0.215443469003188 1.41440018014045
2008/07/01 00:00 0.261015721568254 1.41035538494975
2008/07/01 00:00 0.316227766016838 1.55902147852598
2008/07/01 00:00 0.383118684955729 1.88535609424938
2008/07/01 00:00 0.464158883361278 1.83953161223685
2008/07/01 00:00 0.562341325190349 1.79930371358848
2008/07/01 00:00 0.681292069057961 2.0277457471578
2008/07/01 00:00 0.825404185268018 2.24410565791746
2008/07/01 00:00 1 2.64868213202973
2008/07/01 00:00 1.21152765862859 2.41557471040844
2008/07/01 00:00 1.46779926762207 2.76201724766467
2008/07/01 00:00 1.77827941003892 3.16173024317078
2008/07/01 00:00 2.15443469003188 2.7145472762617
2008/07/01 00:00 2.61015721568254 2.56635992401112
2008/07/01 00:00 3.16227766016838 2.40373667331694
2008/07/01 00:00 3.83118684955729 2.01959696220735
2008/07/01 00:00 4.64158883361278 1.7615062007675
2008/07/01 00:00 5.62341325190349 1.44037100886072
2008/07/01 00:00 6.81292069057961 1.10170886339569
2008/07/01 00:00 8.25404185268018 0.664961166550397
2008/07/01 00:00 10 0.484168441863199
2008/08/01 00:00 0.1 1.03426244665387
2008/08/01 00:00 0.121152765862859 1.09799721483575
2008/08/01 00:00 0.146779926762207 1.19291627868395
2008/08/01 00:00 0.177827941003892 1.26731857712141
2008/08/01 00:00 0.215443469003188 1.23613342700661
2008/08/01 00:00 0.261015721568254 1.3796731813585
2008/08/01 00:00 0.316227766016838 1.54964610158681
2008/08/01 00:00 0.383118684955729 1.80392893398472
2008/08/01 00:00 0.464158883361278 1.7129437157943
2008/08/01 00:00 0.562341325190349 2.00890267706043
2008/08/01 00:00 0.681292069057961 2.00870459144724
2008/08/01 00:00 0.825404185268018 2.17952357516964
2008/08/01 00:00 1 2.23343568821185
2008/08/01 00:00 1.21152765862859 2.62884098097037
2008/08/01 00:00 1.46779926762207 2.78982217724545
2008/08/01 00:00 1.77827941003892 3.02641367419153
2008/08/01 00:00 2.15443469003188 3.07997527857881
2008/08/01 00:00 2.61015721568254 2.62504260047873
2008/08/01 00:00 3.16227766016838 2.53603299649434
2008/08/01 00:00 3.83118684955729 2.09597222072498
2008/08/01 00:00 4.64158883361278 1.72794649818262
2008/08/01 00:00 5.62341325190349 1.47561574075349
2008/08/01 00:00 6.81292069057961 1.06370143711381
2008/08/01 00:00 8.25404185268018 0.879978947648513
2008/08/01 00:00 10 0.529297103613962
2008/09/01 00:00 0.1 1.35783969397258
2008/09/01 00:00 0.121152765862859 1.09652289139715
2008/09/01 00:00 0.146779926762207 0.951371607929672
2008/09/01 00:00 0.177827941003892 1.38123230046408
2008/09/01 00:00 0.215443469003188 1.32399100013647
2008/09/01 00:00 0.261015721568254 1.60378156394852
2008/09/01 00:00 0.316227766016838 1.72332971126441
2008/09/01 00:00 0.383118684955729 1.79108965794585
2008/09/01 00:00 0.464158883361278 1.75023116217958
2008/09/01 00:00 0.562341325190349 2.07848747116214
2008/09/01 00:00 0.681292069057961 2.01735930514374
2008/09/01 00:00 0.825404185268018 2.10221930712742
2008/09/01 00:00 1 2.3584072055148
2008/09/01 00:00 1.21152765862859 2.50490888724868
2008/09/01 00:00 1.46779926762207 2.96181511417031
2008/09/01 00:00 1.77827941003892 2.88728538143408
2008/09/01 00:00 2.15443469003188 2.81216256944215
2008/09/01 00:00 2.61015721568254 2.62861619011702
2008/09/01 00:00 3.16227766016838 2.41753950996925
2008/09/01 00:00 3.83118684955729 2.13803243797305
2008/09/01 00:00 4.64158883361278 1.78188650882583
2008/09/01 00:00 5.62341325190349 1.61844396821923
2008/09/01 00:00 6.81292069057961 1.03687625239203
2008/09/01 00:00 8.25404185268018 0.859963742144227
2008/09/01 00:00 10 0.746771439834832
2008/10/01 00:00 0.1 1.27694370298849
2008/10/01 00:00 0.121152765862859 1.02018364154359
2008/10/01 00:00 0.146779926762207 1.25811723226759
2008/10/01 00:00 0.177827941003892 1.35455401035261
2008/10/01 00:00 0.215443469003188 1.31812069037497
2008/10/01 00:00 0.261015721568254 1.41540557876639
2008/10/01 00:00 0.316227766016838 1.66103052175739
2008/10/01 00:00 0.383118684955729 1.67602687133987
2008/10/01 00:00 0.464158883361278 1.78933281829438
2008/10/01 00:00 0.562341325190349 1.86962454798804
2008/10/01 00:00 0.681292069057961 2.04535911533711
2008/10/01 00:00 0.825404185268018 2.04270534125416
2008/10/01 00:00 1 2.39157753935291
2008/10/01 00:00 1.21152765862859 2.5089267905932
2008/10/01 00:00 1.46779926762207 2.71527701173501
2008/10/01 00:00 1.77827941003892 2.94408241409648
2008/10/01 00:00 2.15443469003188 2.96477327264332
2008/10/01 00:00 2.61015721568254 2.53138314318876
2008/10/01 00:00 3.16227766016838 2.33977404261366
2008/10/01 00:00 3.83118684955729 1.90585363620438
2008/10/01 00:00 4.64158883361278 1.90475065420511
2008/10/01 00:00 5.62341325190349 1.39062174563431
2008/10/01 00:00 6.81292069057961 1.04996750153727
2008/10/01 00:00 8.25404185268018 0.910042887873631
2008/10/01 00:00 10 0.614623376776158
2008/11/01 00:00 0.1 0.865011305984348
2008/11/01 00:00 0.121152765862859 1.20186852821286
2008/11/01 00:00 0.146779926762207 0.98075650800341
2008/11/01 00:00 0.177827941003892 1.19483676904792
2008/11/01 00:00 0.215443469003188 1.45197288881336
2008/11/01 00:00 0.261015721568254 1.48270861557408
2008/11/01 00:00 0.316227766016838 1.60590721550527
2008/11/01 00:00 0.383118684955729 1.71809980797924
2008/11/01 00:00 0.464158883361278 1.73121708645721
2008/11/01 00:00 0.562341325190349 1.89913033685063
2008/11/01 00:00 0.681292069057961 1.93964819690117
2008/11/01 00:00 0.825404185268018 2.16297384344819
2008/11/01 00:00 1 2.40892519475075
2008/11/01 00:00 1.21152765862859 2.58380508296974
2008/11/01 00:00 1.46779926762207 2.74241168232872
2008/11/01 00:00 1.77827941003892 2.91911548434626
2008/11/01 00:00 2.15443469003188 3.00495650322525
2008/11/01 00:00 2.61015721568254 2.51866855122555
2008/11/01 00:00 3.16227766016838 2.49512487167745
2008/11/01 00:00 3.83118684955729 2.0760868104397
2008/11/01 00:00 4.64158883361278 1.66762556488295
2008/11/01 00:00 5.62341325190349 1.37057939110167
2008/11/01 00:00 6.81292069057961 1.01328068268299
2008/11/01 00:00 8.25404185268018 0.658025817660175
2008/11/01 00:00 10 0.406615688550214
2008/12/01 00:00 0.1 1.30349234663319
2008/12/01 00:00 0.121152765862859 1.08667825204923
2008/12/01 00:00 0.146779926762207 0.96807196933567
2008/12/01 00:00 0.177827941003892 1.33974669957953
2008/12/01 00:00 0.215443469003188 1.39858399409028
2008/12/01 00:00 0.261015721568254 1.37913479452598
2008/12/01 00:00 0.316227766016838 1.45330532695718
2008/12/01 00:00 0.383118684955729 1.72442495468133
2008/12/01 00:00 0.464158883361278 1.83318808769814
2008/12/01 00:00 0.562341325190349 1.95066350265352
2008/12/01 00:00 0.681292069057961 1.92029760720042
2008/12/01 00:00 0.825404185268018 2.17788545337843
2008/12/01 00:00 1 2.54561472004753
2008/12/01 00:00 1.21152765862859 2.55110982342811
2008/12/01 00:00 1.46779926762207 2.79240868716315
2008/12/01 00:00 1.77827941003892 3.11610042855966
2008/12/01 00:00 2.15443469003188 3.03230933768457
2008/12/01 00:00 2.61015721568254 2.67934025588519
2008/12/01 00:00 3.16227766016838 2.20953436357948
2008/12/01 00:00 3.83118684955729 2.02379204479124
2008/12/01 00:00 4.64158883361278 1.60194577070651
2008/12/01 00:00 5.62341325190349 1.34951944056283
2008/12/01 00:00 6.81292069057961 0.995990684338504
2008/12/01 00:00 8.25404185268018 0.779636390637247
2008/12/01 00:00 10 0.611979205516191
2009/01/01 00:00 0.1 1.07254042249461
2009/01/01 00:00 0.121152765862859 1.02854698362128
2009/01/01 00:00 0.146779926762207 1.20799337102984
2009/01/01 00:00 0.177827941003892 1.22481052613181
2009/01/01 00:00 0.215443469003188 1.28444706317128
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2014/11/01 00:00 0.146779926762207 1.05306049255136
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2014/12/01 00:00 0.146779926762207 1.21921822448708
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2015/01/01 00:00 0.1 0.919553404365045
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2015/01/01 00:00 0.146779926762207 1.11777067237098
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2015/02/01 00:00 0.146779926762207 1.19057594120403
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2015/05/01 00:00 1.21152765862859 2.53184403174908
2015/05/01 00:00 1.46779926762207 2.81921015585194
2015/05/01 00:00 1.77827941003892 3.05416083662555
2015/05/01 00:00 2.15443469003188 2.88006751812279
2015/05/01 00:00 2.61015721568254 2.45310918964932
2015/05/01 00:00 3.16227766016838 2.27746153566533
2015/05/01 00:00 3.83118684955729 2.03927263873598
2015/05/01 00:00 4.64158883361278 1.6818534533175
2015/05/01 00:00 5.62341325190349 1.18672593070221
2015/05/01 00:00 6.81292069057961 1.26244773629224
2015/05/01 00:00 8.25404185268018 0.723630237838954
2015/05/01 00:00 10 0.561449822187434
2015/06/01 00:00 0.1 0.883415606851795
2015/06/01 00:00 0.121152765862859 1.02588939060596
2015/06/01 00:00 0.146779926762207 1.23500627575342
2015/06/01 00:00 0.177827941003892 1.06710454837167
2015/06/01 00:00 0.215443469003188 1.43178514190597
2015/06/01 00:00 0.261015721568254 1.4410411008582
2015/06/01 00:00 0.316227766016838 1.56767080785806
2015/06/01 00:00 0.383118684955729 1.54678103970342
2015/06/01 00:00 0.464158883361278 1.65550605807851
2015/06/01 00:00 0.562341325190349 1.85796553943725
2015/06/01 00:00 0.681292069057961 2.01367411632763
2015/06/01 00:00 0.825404185268018 2.25057070094588
2015/06/01 00:00 1 2.48927841630344
2015/06/01 00:00 1.21152765862859 2.57398605696089
2015/06/01 00:00 1.46779926762207 2.8992332288991
2015/06/01 00:00 1.77827941003892 2.91788717412811
2015/06/01 00:00 2.15443469003188 2.98816698720157
2015/06/01 00:00 2.61015721568254 2.6176938356087
2015/06/01 00:00 3.16227766016838 2.27197170571268
2015/06/01 00:00 3.83118684955729 1.91220384338724
2015/06/01 00:00 4.64158883361278 1.70420097816359
2015/06/01 00:00 5.62341325190349 1.42199296372087
2015/06/01 00:00 6.81292069057961 1.22410701321074
2015/06/01 00:00 8.25404185268018 0.854952405189932
2015/06/01 00:00 10 0.421469934520849
2015/07/01 00:00 0.1 0.885204722110141
2015/07/01 00:00 0.121152765862859 1.04921824497218
2015/07/01 00:00 0.146779926762207 1.01641408574957
2015/07/01 00:00 0.177827941003892 1.39019314669517
2015/07/01 00:00 0.215443469003188 1.41380479744495
2015/07/01 00:00 0.261015721568254 1.58535408340645
2015/07/01 00:00 0.316227766016838 1.67665268541054
2015/07/01 00:00 0.383118684955729 1.56631475952798
2015/07/01 00:00 0.464158883361278 1.70323061922927
2015/07/01 00:00 0.562341325190349 1.88460546103342
2015/07/01 00:00 0.681292069057961 1.91166511413849
2015/07/01 00:00 0.825404185268018 2.23319537213968
2015/07/01 00:00 1 2.36358098119164
2015/07/01 00:00 1.21152765862859 2.57712046356912
2015/07/01 00:00 1.46779926762207 2.85762441937787
2015/07/01 00:00 1.77827941003892 2.89280949515509
2015/07/01 00:00 2.15443469003188 2.89438559290931
2015/07/01 00:00 2.61015721568254 2.94662599143917
2015/07/01 00:00 3.16227766016838 2.43067245625781
2015/07/01 00:00 3.83118684955729 2.01489454292096
2015/07/01 00:00 4.64158883361278 1.73618419460522
2015/07/01 00:00 5.62341325190349 1.49662855387296
2015/07/01 00:00 6.81292069057961 1.15552805424653
2015/07/01 00:00 8.25404185268018 0.762536237944242
2015/07/01 00:00 10 0.582817619301868
2015/08/01 00:00 0.1 1.01048747160165
2015/08/01 00:00 0.121152765862859 1.06794244933998
2015/08/01 00:00 0.146779926762207 1.30359759082455
2015/08/01 00:00 0.177827941003892 1.11643613162648
2015/08/01 00:00 0.215443469003188 1.32892649251888
2015/08/01 00:00 0.261015721568254 1.31469919285804
2015/08/01 00:00 0.316227766016838 1.7744673179669
2015/08/01 00:00 0.383118684955729 1.55261535019915
2015/08/01 00:00 0.464158883361278 1.82020513382175
2015/08/01 00:00 0.562341325190349 1.87248014065784
2015/08/01 00:00 0.681292069057961 2.00825379227243
2015/08/01 00:00 0.825404185268018 2.03645874773119
2015/08/01 00:00 1 2.31738113114396
2015/08/01 00:00 1.21152765862859 2.54751870060101
2015/08/01 00:00 1.46779926762207 2.93057837715582
2015/08/01 00:00 1.77827941003892 2.89259083636217
2015/08/01 00:00 2.15443469003188 2.81587611306126
2015/08/01 00:00 2.61015721568254 2.5785373275555
2015/08/01 00:00 3.16227766016838 2.27156248651328
2015/08/01 00:00 3.83118684955729 2.15318780954598
2015/08/01 00:00 4.64158883361278 1.78537146223048
2015/08/01 00:00 5.62341325190349 1.43499941083528
2015/08/01 00:00 6.81292069057961 1.1703417615515
2015/08/01 00:00 8.25404185268018 0.634084105631839
2015/08/01 00:00 10 0.566741700867181
2015/09/01 00:00 0.1 1.0722254032225
2015/09/01 00:00 0.121152765862859 1.10124690413616
2015/09/01 00:00 0.146779926762207 1.44244611449394
2015/09/01 00:00 0.177827941003892 1.30667569114369
2015/09/01 00:00 0.215443469003188 1.47770035267198
2015/09/01 00:00 0.261015721568254 1.47926968403524
2015/09/01 00:00 0.316227766016838 1.48394800738302
2015/09/01 00:00 0.383118684955729 1.69583369257035
2015/09/01 00:00 0.464158883361278 1.76521220269149
2015/09/01 00:00 0.562341325190349 1.92411204547791
2015/09/01 00:00 0.681292069057961 1.93961251019456
2015/09/01 00:00 0.825404185268018 2.00931597946838
2015/09/01 00:00 1 2.42760113052688
2015/09/01 00:00 1.21152765862859 2.71283185147553
2015/09/01 00:00 1.46779926762207 2.72706941681345
2015/09/01 00:00 1.77827941003892 3.08695528073133
2015/09/01 00:00 2.15443469003188 2.8845156161914
2015/09/01 00:00 2.61015721568254 2.64862825634197
2015/09/01 00:00 3.16227766016838 2.22082895101634
2015/09/01 00:00 3.83118684955729 2.05318477611998
2015/09/01 00:00 4.64158883361278 1.61902279818281
2015/09/01 00:00 5.62341325190349 1.49018152816756
2015/09/01 00:00 6.81292069057961 1.14581633390878
2015/09/01 00:00 8.25404185268018 0.76897713992239
2015/09/01 00:00 10 0.487449911681502
2015/10/01 00:00 0.1 1.25854912526162
2015/10/01 00:00 0.121152765862859 0.797082265859586
2015/10/01 00:00 0.146779926762207 1.2959400509408
2015/10/01 00:00 0.177827941003892 1.30354794858376
2015/10/01 00:00 0.215443469003188 1.4622393924172
2015/10/01 00:00 0.261015721568254 1.52703782026899
2015/10/01 00:00 0.316227766016838 1.83774118523842
2015/10/01 00:00 0.383118684955729 1.63844926648716
2015/10/01 00:00 0.464158883361278 1.92900879901554
2015/10/01 00:00 0.562341325190349 1.97546863937446
2015/10/01 00:00 0.681292069057961 1.96312717358409
2015/10/01 00:00 0.825404185268018 2.19596012789575
2015/10/01 00:00 1 2.44597973009727
2015/10/01 00:00 1.21152765862859 2.65501392495222
2015/10/01 00:00 1.46779926762207 2.71354253124218
2015/10/01 00:00 1.77827941003892 3.09810514145253
2015/10/01 00:00 2.15443469003188 3.01885946704643
2015/10/01 00:00 2.61015721568254 2.6330885119923
2015/10/01 00:00 3.16227766016838 2.32406188882469
2015/10/01 00:00 3.83118684955729 1.92403328841887
2015/10/01 00:00 4.64158883361278 1.55329493313315
2015/10/01 00:00 5.62341325190349 1.61211884183231
2015/10/01 00:00 6.81292069057961 1.16839839901931
2015/10/01 00:00 8.25404185268018 0.738005696799416
2015/10/01 00:00 10 0.4048771128892
2015/11/01 00:00 0.1 0.933310932929861
2015/11/01 00:00 0.121152765862859 1.05429853591284
2015/11/01 00:00 0.146779926762207 1.16842280049906
2015/11/01 00:00 0.177827941003892 1.52271680781679
2015/11/01 00:00 0.215443469003188 1.4647380884516
2015/11/01 00:00 0.261015721568254 1.43472289879411
2015/11/01 00:00 0.316227766016838 1.75260779625071
2015/11/01 00:00 0.383118684955729 1.83141548087758
2015/11/01 00:00 0.464158883361278 1.93411538188799
2015/11/01 00:00 0.562341325190349 1.87080901002151
2015/11/01 00:00 0.681292069057961 1.91618295774268
2015/11/01 00:00 0.825404185268018 2.26971933296464
2015/11/01 00:00 1 2.37824933296148
2015/11/01 00:00 1.21152765862859 2.78551473606992
2015/11/01 00:00 1.46779926762207 2.79050790085934
2015/11/01 00:00 1.77827941003892 2.8241174630861
2015/11/01 00:00 2.15443469003188 2.85850927207641
2015/11/01 00:00 2.61015721568254 2.72679020809298
2015/11/01 00:00 3.16227766016838 2.29053540161651
2015/11/01 00:00 3.83118684955729 2.03479841407048
2015/11/01 00:00 4.64158883361278 1.68961037625983
2015/11/01 00:00 5.62341325190349 1.52485866652295
2015/11/01 00:00 6.81292069057961 1.12512895795617
2015/11/01 00:00 8.25404185268018 0.697540881419504
2015/11/01 00:00 10 0.589203999660753
2015/12/01 00:00 0.1 1.01873310245789
2015/12/01 00:00 0.121152765862859 1.22424484063907
2015/12/01 00:00 0.146779926762207 1.24286226798594
2015/12/01 00:00 0.177827941003892 1.2930785745978
2015/12/01 00:00 0.215443469003188 1.35743683183396
2015/12/01 00:00 0.261015721568254 1.54772272850077
2015/12/01 00:00 0.316227766016838 1.61685075002175
2015/12/01 00:00 0.383118684955729 1.55449334175178
2015/12/01 00:00 0.464158883361278 1.74192023105996
2015/12/01 00:00 0.562341325190349 1.94584453799772
2015/12/01 00:00 0.681292069057961 1.97175249585918
2015/12/01 00:00 0.825404185268018 2.21688025754887
2015/12/01 00:00 1 2.47961229674314
2015/12/01 00:00 1.21152765862859 2.57227012054694
2015/12/01 00:00 1.46779926762207 2.93832139155681
2015/12/01 00:00 1.77827941003892 2.9851904042433
2015/12/01 00:00 2.15443469003188 2.83413832374886
2015/12/01 00:00 2.61015721568254 2.70905142055446
2015/12/01 00:00 3.16227766016838 2.37932346778078
2015/12/01 00:00 3.83118684955729 1.93021972999749
2015/12/01 00:00 4.64158883361278 1.61770866081046
2015/12/01 00:00 5.62341325190349 1.28768142025521
2015/12/01 00:00 6.81292069057961 1.08214961047005
2015/12/01 00:00 8.25404185268018 0.850499851055803
2015/12/01 00:00 10 0.487027841980551
2016/01/01 00:00 0.1 0.991750557462904
2016/01/01 00:00 0.121152765862859 0.993329860101525
2016/01/01 00:00 0.146779926762207 1.09640152214866
2016/01/01 00:00 0.177827941003892 1.24926769353855
2016/01/01 00:00 0.215443469003188 1.50485807605364
2016/01/01 00:00 0.261015721568254 1.49286803499725
2016/01/01 00:00 0.316227766016838 1.56987934706763
2016/01/01 00:00 0.383118684955729 1.52576507794024
2016/01/01 00:00 0.464158883361278 1.88751356019917
2016/01/01 00:00 0.562341325190349 2.07552886317444
2016/01/01 00:00 0.681...

opts = detectImportOptions(file_name);
opts = setvartype(opts,{'Date','time'},{'datetime','duration'});
opts = setvaropts(opts,'Date','InputFormat','yyyy/MM/dd'); % Are these the real formats?
opts = setvaropts(opts,'time','InputFormat','hh:mm');      % No way to know.

T = readtable(file_name,opts);
T.time = T.Date+T.time;
T.time.Format = 'yyyy/MM/dd HH:mm'

T = 3600x4 table
       Date             time           Freq      Amplitude
    __________    ________________    _______    _________

    2008/01/01    2008/01/01 00:00        0.1     1.0538  
    2008/01/01    2008/01/01 00:00    0.12115     1.0169  
    2008/01/01    2008/01/01 00:00    0.14678     1.3192  
    2008/01/01    2008/01/01 00:00    0.17783       1.36  
    2008/01/01    2008/01/01 00:00    0.21544     1.1807  
    2008/01/01    2008/01/01 00:00    0.26102     1.5415  
    2008/01/01    2008/01/01 00:00    0.31623     1.5346  
    2008/01/01    2008/01/01 00:00    0.38312     1.6577  
    2008/01/01    2008/01/01 00:00    0.46416     1.8236  
    2008/01/01    2008/01/01 00:00    0.56234     1.9434  
    2008/01/01    2008/01/01 00:00    0.68129     2.0774  
    2008/01/01    2008/01/01 00:00     0.8254     2.1339  
    2008/01/01    2008/01/01 00:00          1     2.3187  
    2008/01/01    2008/01/01 00:00     1.2115     2.5472  
    2008/01/01    2008/01/01 00:00     1.4678     2.9248  
    2008/01/01    2008/01/01 00:00     1.7783     2.8885  

Nt = numel(unique(T.time)); % Is the real data gridded or scattered?
Nf = numel(unique(T.Freq)); % No way to know.

t = reshape(T.time,Nf,Nt);
f = reshape(T.Freq,Nf,Nt);
A = reshape(T.Amplitude,Nf,Nt);
surf(t,f,A,'EdgeColor','none')
view(2)
yscale('log') % R2023b or later
% set(gca(),'YScale','log') % for releases before R2023b
colorbar
colormap('jet')
yticks([0.1 0.2 0.5 1 2 5 10])
grid on
set(gca(),'Layer','top')

Answer 2

[Star Strider]

T1 = array2table(["2010/01/01" "00:00" 0.109864 2.04021
"2010/01/01" "00:00" 0.122071 2.8937
"2010/01/01" "00:00" 0.134278 2.84502
"2010/01/01" "00:00" 0.146485 2.92267
"2010/01/01" "00:00" 0.158692 3.11156
"2010/01/01" "00:00" 0.170899 3.41533
"2010/01/01" "00:00" 0.183107 3.10193
"2010/01/01" "00:00" 0.195314 3.32969
"2010/01/01" "00:00" 0.207521 3.29483
"2010/01/01" "00:00" 0.219728 3.21573], 'VariableNames',{'Date','time','Freq','Amplitude'})

T1 = 10x4 table
        Date         time        Freq       Amplitude
    ____________    _______    _________    _________

    "2010/01/01"    "00:00"    "0.10986"    "2.0402" 
    "2010/01/01"    "00:00"    "0.12207"    "2.8937" 
    "2010/01/01"    "00:00"    "0.13428"    "2.845"  
    "2010/01/01"    "00:00"    "0.14649"    "2.9227" 
    "2010/01/01"    "00:00"    "0.15869"    "3.1116" 
    "2010/01/01"    "00:00"    "0.1709"     "3.4153" 
    "2010/01/01"    "00:00"    "0.18311"    "3.1019" 
    "2010/01/01"    "00:00"    "0.19531"    "3.3297" 
    "2010/01/01"    "00:00"    "0.20752"    "3.2948" 
    "2010/01/01"    "00:00"    "0.21973"    "3.2157" 

DT = datetime(T1.Date,"InputFormat","yyyy/MM/dd") + timeofday(datetime(T1.time, "InputFormat","HH:mm"))

DT = 10x1 datetime array
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010
   01-Jan-2010

T1 = addvars(T1, DT, 'Before',1)

T1 = 10x5 table
        DT             Date         time        Freq       Amplitude
    ___________    ____________    _______    _________    _________

    01-Jan-2010    "2010/01/01"    "00:00"    "0.10986"    "2.0402" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.12207"    "2.8937" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.13428"    "2.845"  
    01-Jan-2010    "2010/01/01"    "00:00"    "0.14649"    "2.9227" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.15869"    "3.1116" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.1709"     "3.4153" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.18311"    "3.1019" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.19531"    "3.3297" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.20752"    "3.2948" 
    01-Jan-2010    "2010/01/01"    "00:00"    "0.21973"    "3.2157" 

T1 = removevars(T1,[2 3])

T1 = 10x3 table
        DT           Freq       Amplitude
    ___________    _________    _________

    01-Jan-2010    "0.10986"    "2.0402" 
    01-Jan-2010    "0.12207"    "2.8937" 
    01-Jan-2010    "0.13428"    "2.845"  
    01-Jan-2010    "0.14649"    "2.9227" 
    01-Jan-2010    "0.15869"    "3.1116" 
    01-Jan-2010    "0.1709"     "3.4153" 
    01-Jan-2010    "0.18311"    "3.1019" 
    01-Jan-2010    "0.19531"    "3.3297" 
    01-Jan-2010    "0.20752"    "3.2948" 
    01-Jan-2010    "0.21973"    "3.2157" 

T1.Freq = str2double(T1.Freq)

T1 = 10x3 table
        DT          Freq      Amplitude
    ___________    _______    _________

    01-Jan-2010    0.10986    "2.0402" 
    01-Jan-2010    0.12207    "2.8937" 
    01-Jan-2010    0.13428    "2.845"  
    01-Jan-2010    0.14649    "2.9227" 
    01-Jan-2010    0.15869    "3.1116" 
    01-Jan-2010     0.1709    "3.4153" 
    01-Jan-2010    0.18311    "3.1019" 
    01-Jan-2010    0.19531    "3.3297" 
    01-Jan-2010    0.20752    "3.2948" 
    01-Jan-2010    0.21973    "3.2157" 

T1.Amplitude = str2double(T1.Amplitude)

T1 = 10x3 table
        DT          Freq      Amplitude
    ___________    _______    _________

    01-Jan-2010    0.10986     2.0402  
    01-Jan-2010    0.12207     2.8937  
    01-Jan-2010    0.13428      2.845  
    01-Jan-2010    0.14649     2.9227  
    01-Jan-2010    0.15869     3.1116  
    01-Jan-2010     0.1709     3.4153  
    01-Jan-2010    0.18311     3.1019  
    01-Jan-2010    0.19531     3.3297  
    01-Jan-2010    0.20752     3.2948  
    01-Jan-2010    0.21973     3.2157  

figure
scatter3(T1.DT, T1.Freq, T1.Amplitude, 50, T1.Amplitude, 's', 'filled')
grid on
xlabel('Date')
ylabel('Freq')
colormap(turbo)
view(0, 90)

If you had more data (enough so that ‘Amplitude’ was a matrix) you could probably use surf instead of scatter3. With the information provided, this is as good as it gets.

.

Answer 3

[Umar]

Hi @Jose Martinez ,

You mentioned,”Can you help me on how I can obtain this type of graphs (see example), which represent amplitude variations at a certain frequency with respect to time. Note that the Y axis is in logarithmic.“

Please see my response to your comments below. Please see example code snippet provided below. It generates a spectrogram from your dataset, which includes frequency and amplitude values.

% Sample data formatted as cell array
data = {
  '2010/01/01 00:00', 0.109864, 2.04021;
  '2010/01/01 00:00', 0.122071, 2.8937;
  '2010/01/01 00:00', 0.134278, 2.84502;
  '2010/01/01 00:00', 0.146485, 2.92267;
  '2010/01/01 00:00', 0.158692, 3.11156;
  '2010/01/01 00:00', 0.170899, 3.41533;
  '2010/01/01 00:00', 0.183107, 3.10193;
  '2010/01/01 00:00', 0.195314, 3.32969;
  '2010/01/01 00:00', 0.207521, 3.29483;
  '2010/01/01 00:00', 0.219728, 3.21573
};

% Extracting time and amplitude
time = datenum(data(:,1)); % Convert date strings to serial date numbers
amplitude = cell2mat(data(:,3)); % Amplitude column as numeric

% Convert amplitude to logarithmic scale (in dB)
log_amplitude = 20 * log10(amplitude);

% Define parameters for spectrogram
window = hamming(5); % Window length (number of samples)
noverlap = 2;        % Number of overlapping samples
nfft = max(256,2^nextpow2(length(window))); % FFT points

% Create the spectrogram
[s,f,t] = spectrogram(log_amplitude, window, noverlap, nfft);

% Plotting
figure;

% Spectrogram
subplot(2,1,1); % Create subplot for spectrogram
imagesc(t, f, abs(s)); % Use abs(s) to get magnitude for visualization
axis xy; % Flip y-axis for correct orientation
xlabel('Time (Years)');
ylabel('Frequency (Hz)');
title('Spectrogram');
colorbar; % Add color bar to indicate amplitude levels
set(gca,'YScale','log'); % Set Y-axis to logarithmic scale

% Update x-axis ticks to show years (example)
xticks(datenum({'2009-12-31', '2010-06-30', '2011-12-31'})); % Example ticks
xticklabels({'2009', '2010', '2011'});

% Waterfall Plot
subplot(2,1,2); % Create subplot for waterfall plot
waterplot(s,f,t); % Call the provided function to create the waterfall plot

% Function to create waterfall plot of spectrogram
function waterplot(s,f,t)
  waterfall(f,t,abs(s)'.^2); % Transpose s for correct orientation
  set(gca,'XDir','reverse','View',[30 50]); % Set view angle
  xlabel("Frequency (Hz)");
  ylabel("Time (s)");
  title('Waterfall Plot');
end

Let me break down the code step-by-step to understand how it meets yours requirements and to clarify any potential improvements.

Data Preparation

The first part of the code initializes the sample data as a cell array. This format allows for mixed data types, which is useful for handling date strings alongside numeric values.

data = {
  '2010/01/01 00:00', 0.109864, 2.04021;
  '2010/01/01 00:00', 0.122071, 2.8937;
  ...
  '2010/01/01 00:00', 0.219728, 3.21573
};

Extracting Time and Amplitude

The code extracts the time and amplitude from the dataset. The datenum function converts date strings into serial date numbers, which MATLAB can process for time-based plotting. The amplitude values are converted from a cell array to a numeric array using cell2mat.

time = datenum(data(:,1)); % Convert date strings to serial date numbers
amplitude = cell2mat(data(:,3)); % Amplitude column as numeric

Logarithmic Transformation

To meet the user's requirement of displaying the Y-axis in a logarithmic scale, the amplitude values are transformed into decibels (dB) using the formula 20 * log10(amplitude. This transformation is crucial for visualizing amplitude variations effectively.

log_amplitude = 20 * log10(amplitude);

Spectrogram Parameters

The code defines parameters for the spectrogram, including the window length, overlap, and the number of FFT points. The hamming window is commonly used for spectral analysis due to its favorable properties in reducing spectral leakage.

window = hamming(5); % Window length (number of samples)
noverlap = 2;        % Number of overlapping samples
nfft = max(256,2^nextpow2(length(window))); % FFT points

Generating the Spectrogram

The spectrogram function computes the spectrogram of the logarithmic amplitude data. It returns the complex values of the spectrogram, along with frequency and time vectors.

[s,f,t] = spectrogram(log_amplitude, window, noverlap, nfft);

For more information on this function, please refer to

https://www.mathworks.com/help/signal/ref/spectrogram.html

Plotting the Spectrogram

The code creates a figure with two subplots: one for the spectrogram and another for a waterfall plot. The spectrogram is visualized using imagesc, which displays the magnitude of the spectrogram. The Y-axis is set to a logarithmic scale using set(gca,'YScale','log'), fulfilling the user's requirement.

subplot(2,1,1); % Create subplot for spectrogram
imagesc(t, f, abs(s)); % Use abs(s) to get magnitude for visualization
axis xy; % Flip y-axis for correct orientation
xlabel('Time (Years)');
ylabel('Frequency (Hz)');
title('Spectrogram');
colorbar; % Add color bar to indicate amplitude levels
set(gca,'YScale','log'); % Set Y-axis to logarithmic scale

Customizing the X-Axis

The code customizes the x-axis ticks to represent years, enhancing the readability of the time axis.

xticks(datenum({'2009-12-31', '2010-06-30', '2011-12-31'})); % Example ticks
xticklabels({'2009', '2010', '2011'});

Waterfall Plot

The second subplot is a waterfall plot, which provides a three-dimensional view of the spectrogram data. The waterplot function is defined to create this visualization.

subplot(2,1,2); % Create subplot for waterfall plot
waterplot(s,f,t); % Call the provided function to create the waterfall plot

Please see attached

In nutshell, this code generates a spectrogram that represents amplitude variations at specific frequencies over time, with the Y-axis displayed in a logarithmic scale. The transformation of amplitude to a logarithmic scale, along with the appropriate plotting functions, makes sure that your requirements are met. If you wish to further refine the spectrogram or customize the visual output, you may consider adjusting the window length, overlap, or the frequency range displayed.

Hope this helps resolve your problem. Please let me know if you have any further questions.