Help with time variation graphs versus time

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Jose Martinez
Jose Martinez on 1 Oct 2024
Answered: Umar on 2 Oct 2024
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
  1 Comment
Voss
Voss on 1 Oct 2024
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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Answers (3)

Star Strider
Star Strider on 1 Oct 2024
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.
.
Voss
Voss on 1 Oct 2024
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 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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')
Umar
Umar on 2 Oct 2024

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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