Help with time variation graphs versus time

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Jose Martinez
Jose Martinez 2024년 10월 1일
답변: Umar 2024년 10월 2일
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
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Voss
Voss 2024년 10월 1일
Looks like a surface. (See: surf.) Upload a data file using the paperclip icon if you want help creating such a surface.

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Voss
Voss 2024년 10월 1일
Ran in:
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 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2015/01/01 00:00 3.16227766016838 2.30296319567228 2015/01/01 00:00 3.83118684955729 1.96468746647851 2015/01/01 00:00 4.64158883361278 1.58366042075847 2015/01/01 00:00 5.62341325190349 1.40728144823781 2015/01/01 00:00 6.81292069057961 1.13564891296147 2015/01/01 00:00 8.25404185268018 0.810741638457829 2015/01/01 00:00 10 0.323460762374217 2015/02/01 00:00 0.1 1.06966244158496 2015/02/01 00:00 0.121152765862859 1.14434219129041 2015/02/01 00:00 0.146779926762207 1.19057594120403 2015/02/01 00:00 0.177827941003892 1.37512289846883 2015/02/01 00:00 0.215443469003188 1.16404764890415 2015/02/01 00:00 0.261015721568254 1.54120353781118 2015/02/01 00:00 0.316227766016838 1.61092479416657 2015/02/01 00:00 0.383118684955729 1.53661976042072 2015/02/01 00:00 0.464158883361278 1.7747228167061 2015/02/01 00:00 0.562341325190349 1.99275842182056 2015/02/01 00:00 0.681292069057961 1.93751750476534 2015/02/01 00:00 0.825404185268018 2.24284361730238 2015/02/01 00:00 1 2.25830858330237 2015/02/01 00:00 1.21152765862859 2.5144435704364 2015/02/01 00:00 1.46779926762207 2.67209731082204 2015/02/01 00:00 1.77827941003892 3.04157761906179 2015/02/01 00:00 2.15443469003188 2.88832288586955 2015/02/01 00:00 2.61015721568254 2.53679396205681 2015/02/01 00:00 3.16227766016838 2.49523734604633 2015/02/01 00:00 3.83118684955729 2.16931492870462 2015/02/01 00:00 4.64158883361278 1.7120609818645 2015/02/01 00:00 5.62341325190349 1.49394163082377 2015/02/01 00:00 6.81292069057961 1.01497584537661 2015/02/01 00:00 8.25404185268018 0.843890941353369 2015/02/01 00:00 10 0.403643227651619 2015/03/01 00:00 0.1 1.08350881650727 2015/03/01 00:00 0.121152765862859 1.13918942094324 2015/03/01 00:00 0.146779926762207 1.23362133409542 2015/03/01 00:00 0.177827941003892 1.4778255899291 2015/03/01 00:00 0.215443469003188 1.34900279542001 2015/03/01 00:00 0.261015721568254 1.54054925505164 2015/03/01 00:00 0.316227766016838 1.57494471575538 2015/03/01 00:00 0.383118684955729 1.77612002818668 2015/03/01 00:00 0.464158883361278 1.91948238186341 2015/03/01 00:00 0.562341325190349 1.88898220642909 2015/03/01 00:00 0.681292069057961 1.90663657059699 2015/03/01 00:00 0.825404185268018 2.0995814719838 2015/03/01 00:00 1 2.4199951958615 2015/03/01 00:00 1.21152765862859 2.60075576235631 2015/03/01 00:00 1.46779926762207 2.79437727684999 2015/03/01 00:00 1.77827941003892 3.00429748293047 2015/03/01 00:00 2.15443469003188 2.83517030898958 2015/03/01 00:00 2.61015721568254 2.73164582071966 2015/03/01 00:00 3.16227766016838 2.34590235319408 2015/03/01 00:00 3.83118684955729 2.07110504049803 2015/03/01 00:00 4.64158883361278 1.55564816258461 2015/03/01 00:00 5.62341325190349 1.46752373383813 2015/03/01 00:00 6.81292069057961 1.07004489609864 2015/03/01 00:00 8.25404185268018 0.795900659258884 2015/03/01 00:00 10 0.435436736304438 2015/04/01 00:00 0.1 0.975628485962205 2015/04/01 00:00 0.121152765862859 0.974932109317359 2015/04/01 00:00 0.146779926762207 1.10953459407532 2015/04/01 00:00 0.177827941003892 1.42230625517338 2015/04/01 00:00 0.215443469003188 1.26783744091899 2015/04/01 00:00 0.261015721568254 1.4636219249119 2015/04/01 00:00 0.316227766016838 1.58100983453513 2015/04/01 00:00 0.383118684955729 1.81933071517031 2015/04/01 00:00 0.464158883361278 1.86060637093643 2015/04/01 00:00 0.562341325190349 2.0572397878773 2015/04/01 00:00 0.681292069057961 1.97212750861938 2015/04/01 00:00 0.825404185268018 2.13673121233369 2015/04/01 00:00 1 2.41958268528198 2015/04/01 00:00 1.21152765862859 2.50624142311979 2015/04/01 00:00 1.46779926762207 2.77903197168278 2015/04/01 00:00 1.77827941003892 2.90511467699428 2015/04/01 00:00 2.15443469003188 2.89620187951124 2015/04/01 00:00 2.61015721568254 2.75515920584907 2015/04/01 00:00 3.16227766016838 2.26006880695317 2015/04/01 00:00 3.83118684955729 1.93672360633362 2015/04/01 00:00 4.64158883361278 1.75823460460467 2015/04/01 00:00 5.62341325190349 1.478596852408 2015/04/01 00:00 6.81292069057961 1.03657514067598 2015/04/01 00:00 8.25404185268018 0.836430917651068 2015/04/01 00:00 10 0.545252777815531 2015/05/01 00:00 0.1 1.02156700864037 2015/05/01 00:00 0.121152765862859 1.00520390776686 2015/05/01 00:00 0.146779926762207 1.17117436387943 2015/05/01 00:00 0.177827941003892 1.17167438953952 2015/05/01 00:00 0.215443469003188 1.336387175034 2015/05/01 00:00 0.261015721568254 1.44007279599581 2015/05/01 00:00 0.316227766016838 1.49670864856992 2015/05/01 00:00 0.383118684955729 1.86320572159209 2015/05/01 00:00 0.464158883361278 1.85405144291621 2015/05/01 00:00 0.562341325190349 1.95604906139961 2015/05/01 00:00 0.681292069057961 1.97994750406073 2015/05/01 00:00 0.825404185268018 2.09542900087751 2015/05/01 00:00 1 2.38488675970618 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')

추가 답변 (2개)

Star Strider
Star Strider 2024년 10월 1일
Ran in:
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.
.
Umar
Umar 2024년 10월 2일

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.

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