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How to mark NaN values on the plot?

22 Ansichten (letzte 30 Tage)
Haya Ali
Haya Ali am 12 Mär. 2023
Kommentiert: Haya Ali am 13 Mär. 2023
I am getting NaN value in the rate signal and I want to mark them on the plot. How can I mark them on the plot? Below is my code
close all; clear all; clc;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
X=[11477.9
11417.3
11426.4
11413
11382.9
11375.1
11347.9
11351.1
11329.3
11318.9
11343.4
11360.7
11378.4
11414.2
11408.2
11413.6
11449.4
11444.1
11421.4
11388.5
11429.3
11438.1
11432.9
11408.2
11434.3
11444.8
11443.5
11491.8
11503.8
11581.8
11525.9
11529.5
11557.6
11523
11516
11504.1
11492.9
11480.3
11495.9
11445.1
11437.7
11468.5
11463
11488.5
11470.3
11491.1
11480.2
11488.9
11453.8
11456
11434.5
11460.6
11456.1
11454
11468.3
11464.4
11501
11453.8
11474.2
11458.2
11452.8
11434.6
11447.3
11379.5
11396.4
11409.9
11405.6
11433.3
11435.6
11434.2
11415.5
11483.6
11434.6
11452.2
11471.5
11445
11462.6
11433.3
11440.2
11442.3
11456
11408.6
11399.7
11369.8
11372.6
11401.4
11405
11426.6
11430.3
11405.6
11409.8
11405
11399.7
11381.2
11392.5
11383.6
11365.8
11362.4
11347.8
11324.9
11353
11330.8
11319.6
11313.2
11322.2
11294.4
11341
11345.3
11325.8
11359.3
11353.1
11330.7
11344.4
11361.9
11375.6
11338.2
11366.3
11349.5
11354.3
11373.5
11396.7
11387.6
11402
11415.8
11401.3
11416.9
11408.7
11371.5
11403.5
11437.4
11438.5
11452.5
11468.8
11428.4
11418.4
11395.3
11437.6
11409
11428.3
11375.6
11361.3
11343.6
11350.5
11357.6
11354.6
11394.5
11404.6
11449.5
11423
11451.8
11455.4
11472.9
11431.5
11453.7
11438.5
11433.6
11425.8
11413.5
11418.7
11395
11404.8
11367.5
11365.8
11351.3
11340.4
11374.3
11365
11397.8
11404
11387.6
11361.9
11354.5
11348.3
11297.2
11284.1
11308.6
11339.1
11354.3
11350.4
11350.6
11353.5
11353.7
11295.5
11303.3
11267.1
11333.3
11351.6
11330.9
11330.8
11336.9
11359.3
11361.6
11382.9
11339.5
11346
11403.5
11371.2
11381.8
11340.7
11374.2
11360.8
11329.8
11361.6
11346.2
11343.8
11313.9
11294.8
11277.7
11289.3
11295
11302.2
11329.8
11339.1
11352.2
11348.7
11353.5
11354.6
11356.4
11336.3
11327
11366.5
11362.4
11372.7
11367
11353.1
11390.2
11391.7
11400.2
11387.9
11371.3
11377.6
11390
11442.7
11429
11445.1
11449.3
11452
11385.5
11395.6
11387.1
11355.4
11334.4
11346.1
11317.3
11337.9
11330.4
11339.2
11351.5
11336.3
11362.8
11342.8
11357.4
11355.3
11364.1
11333.1
11345.1
11355
11349.8
11376.7
11367.7
11394.9
11421.2
11434.2
11459.5
11448.3
11446.3
11432.8
11441.2
11380.6
11395.9
11394.5
11380.9
11364.8
11336.5
11346.2
11376.7
11392.8
11330.1
11361.6
11334.2
11341.4
11327.7
11315.8
11344.8
11328.6
11341.5
11350.6
11363.7
11383.3
11375
11398
11381.4
11411.2
11426.3
11440
11432.5
11438
11436.1
11467.1
11506.6
11461.1
11493.6
11487.1
11461.8
11417.7
11429.3
11406.7
11400.5
11401
11387.3
11399.4
11395.1
11401.3
11379.5
11400.8
11408.7
11447.4
11460.4
11458.7
11432.9
11454.1
11480.8
11474.9
11504.1
11463.2
11530
11539
11531.9
11524.3
11484.2
11521.7
11490
11498.9
11451.1
11461.9
11486.6
11459.8
11463.9
11464.4
11513.1
11529
11534.2
11547.4
11564.6
11566.9
11485.5
11502.6
11471.7
11501.8
11466.6
11410.4
11426.5
11390.9
11426.5
11363.5
11366.3
11389.5
11368.3
11329.5
11315.5
11329.6
11310.7
11318.2
11272.7
11320.9
11320.9
11326.6
11351.1
11330.3
11391.4
11390.9
11388.4
11364.3
11354.7
11374.6
11355
11357.8
11332.7
11376.9
11348.4
11339.5
11382
11370
11343.6
11335.1
11321
11327.7
11294
11302.5
11302.6
11304.3
11299.9
11294.7
11298.9
11305.2
11341
11363.8
11384.5
11389.7
11371.8
11390.4
11402.2
11387.3
11387.6
11387.3
11394.4
11447.1
11465
11431.5
11457.1
11460.6
11485.7
11491
11458.5
11440.9
11434.8
11454.9
11453.5
11463
11446.3
11475.9
11482.5
11457.3
11454.8
11445
11442.8
11440.9
11386.9
11412.6
11387.1
11402
11376.8
11425.7
11426
11426.7
11421.5
11438.4
11455.1
11423
11450
11429.3
11486
11504.3
11494.1
11510.8
11527.5
11562.5
11570.8
11520.7
11496.2
11508.6
11514.3
11457.7
11457.8
11435.8
11465
11475.5
11459.7
11462.8
11452.2
11499.4
11508
11478.9
11483.9
11479.6
11493.1
11451.4
11421.4
11366.3
11389.8
11385
11339.1
11322.4
11336.5
11346.9
11315.2
11328.6
11323
11348.3
11351.3
11346.5
11369.6
11400.5
11426.4
11432.4
11404.5
11415
11428.9
11446.8
11408.2
11417.9
11379.6
11379.4
11411
11383.2
11409.2
11443.8
11453.7
11455.9
11420.4
11392.9
11395.4
11389.9
11358.4
11370.3
11404.4
11406
11418.9
11404.7
11460.1
11472.4
11510.2
11472
11457.3
11493.7
11507.3
11512.8
11489.1
11481.3
11481.6
11451.9
11423.8
11336.1
11413.5
11412.1
11376.1
11368.6
11371.8
11361.7
11320.5
11294.2
11268.4
11302.5
11344.5
11320.8
11345.4
11308.4
11327.4
11337.9
11340
11354.1
11355.1
11376.6
11406.4
11422.9
11434.4
11441.6
11457.7
11474.1
11487.9
11489.5
11461.2
11477.4
11464.9
11506.4
11484.7
11476.8
11466.2
11746
11060.5
11805
11714
11676.6
11674.9
11609.2
11516.9
11505
11534.9
11527.1
11514.4
11513.6
11535.7
11450
11435.1
11390.1
11426.6
11406
11385.3
11359.2
11332.5
11327.7
11302.2
11296.2
11267
11269.5
11246.4
11260.3
11284.6
11268.1
11257.5
11258.9
11252.8
11259.1
11304.2
11286.2
11319.8
11441.8
11558.1
11648.4
11671.6
11658.8
11612.9
11656.8
11823
11659.9
11559.5
11550
11601.1
11528.9
11489.8
11456.9
11447
11441.3
11456.1
11463.4
11443.9
11408.3
11414.5
11406.2
11408.4
11438.5
11427.3
11461.3
11444.7
11421.3
11413.1
11407.6
11421.8
11395
11379.2
11344.8
11333.3
11299
11296.6
11275.3
11275.4
11275.3
11268.8
11279.5
11304.4
11335.2
11284.6
11261.9
11256.3
11237.6
11242.8
11250.3
11298.5
11313.5
11262.5
11254.6
11256.5
11259.6
11258.3
11257.5
11269.6
11321.6
11369.7
11379.5
11356.1
11311.4
11309.1
11296.4
11322.4
11369.7
11398.9
11419.5
11399.9
11398.2
11425.6
11452.6
11476
11492
11438
11413.4
11441.6
11498.6
11481.6
11469.9
11448.4
11434.1
11452.9
11483.7
11463
11470.8
11447.8
11445.5
11446.8
11424.1
11438.2
11465.9
11454.2
11446.3
11448.6
11431.1
11428.8
11416.1
11407.1
11412.1
11448.8
11449.7
11442.1
11424.9
11409.3
11402.4
11386.8
11413.2
11434.9
11447.9
11441.4
11434.9
11405.2
11414.3
11416.5
11437.9
11455.2
11404.8
11422.6
11435.6
11424.7
11457.5
11439
11442.2
11398.3
11381
11424.2
11421.2
11391
11390.9
11384.8
11402
11396.7
11382.7
11388.9
11357.5
11377.2
11353.7
11334.6
11346.5
11335.4
11330.6
11321
11329.2
11354.6
11369.8
11361
11363
11355.9
11399.1
11394
11410.7
11394
11405.1
11407.4
11399.2
11438
11435.8
11429.7
11419.8
11387.2
11375.3
11381.1
11381.3
11397.8
11383.4
11364.6
11332.7
11317
11345.3
11322
11359.8
11337.2
11331.4
11319.2
11321.3
11325
11334.7
11360.3
11356
11337.7
11343.6
11353.7
11379.3
11436.6
11428.2
11437.8
11411.4
11438.8
11461.5
11468.5
11489.3
11459.3
11437.7
11415.6
11398.6
11418.8
11415.6
11394.3
11380
11365.9
11366.6
11369.4
11386.2
11405.7
11349
11372.3
11370.5
11370.2
11402.6
11385
11401.8
11382.5
11362.5
11353.6
11368.9
11365.3
11377.3
11375.3
11385.2
11364.7
11357
11366.8
11337.1
11348.1
11316.3
11308.3
11322.2
11311
11341.8
11350.1
11340.1
11348.3
11338.4
11379.9
11395.1
11368.1
11363.4
11342.3
11329.5
11317.9
11318.7
11304.5
11256.4
11277.6
11247.3
11264.2
11247.9
11245.6
11243.5
11257.1
11289.5
11250.5
11252.9
11243.2
11278.9
11323.5
11299.4
11328.1
11306.9
11311.5
11317.8
11308.3
11302.3
11276.2
11295.2
11252.7
11267.4
11268.3
11265.8
11271.8
11266.6
11280.2
11273.3
11300.6
11280.5
11298.7
11341.9
11336.2
11354.5
11351
11344.7
11346.5
11321.8
11358.6
11340.5
11352.6
11333.3
11347.1
11369.5
11352.9
11359.9
11335.2
11308.9
11331.4
11319.5
11344.5
11337.1
11352.8
11371.9
11359.4
11373.2
11339.4
11340.5
11343.4
11326.3
11332
11300.9
11335.2
11319.5
11327
11353.4
11358.1
11376.5
11356.3
11369.2
11381.7
11364.1
11392.4
11363.8
11376.8
11371.5
11366
11401
11366
11374.2
11347.6
11350.8
11354.1
11348.3
11377.9
11350.9
11384.9
11370.2
11378.9
11410.1
11399.8
11422.8
11390.8
11410.8
11377.9
11365.6
11390
11363
11373.6
11358.8
11350.5
11370.1
11377.4
11421.5
11392.7
11429.5
11429.2
11440.5
11469.2
11415.8
11402.9
11349.8
11338.3
11312.8
11319.9
11323.2
11316.9
11320.3
11304.7
11311
11360.6
11354.3
11396.2
11376.8
11390.6
11404.5
11413.7
11394.7
11377.3
11346.3
11358.1
11339.4
11379.6
11358.9
11372.3
11377.1
11367.6
11389.9
11360
11408.8
11376
11373.3
11344.2
11342.9
11355.1
11328.9
11348.1
11348.7
11350.8
11371.7
11362.2
11360.3
11338.7
11319.6
11306.7
11320.4
11350.3
11314.6
11356.8
11356.7
11398.8
11377.8
11368
11365.7
11357.6
11368.1
11362.3
11385.3
11380.3
11398.1
11368.4
11390.9
11410.7
11371.2
11386.2
11375.6
11370.2
11401.5
11394.5
11388.7
11370.1
11391.7
11399.6
11393.8
11398.6
11417.7
11413.5
11397
11432.9
11415.3
11423.2
11402.4
11399.1
11402.7
11390.5
11421.6
11378.3
11409.1
11408.5
11408.3
11442.2
11410.2
11449.1
11428.1
11444.5
11461.2
11437.1
11380
11384.3
11380.8
11356.6
11371.3
11360.7
11384.6
11389.7
11364.9
11370.7
11354
11356.8
11380.4
11371.1
11396.3
11370
11392.6
11369.9
11382.5
11372.3
11359.6
11335
11324.7
11337.8
11338.7
11345
11321.7
11350.4
11345.6
11366.6
11346
11325
11331.1
11336.8
11337.5
11323.5
11337.6
11310.2
11316.2
11367.4
11346.4
11372
11379.5
11389.3
11374.4
11372.5
11371.7
11356
11354.2
11335.5
11372.6
11370.7
11386.8
11363.4
11358.3
11397.9
11383.7
11396.8
11397.8
11385.2
11401.2
11395.9
11398.1
11394
11399.5
11373.6
11388.2
11377.5
11394.6
11414
11393.3
11406.4
11405.6
11410.5
11434.6
11413.3
11453.9
11439.2
11457.6
11458.4
11446.7
11439.1
11433.6
11441.8
11414.7
11436.4
11403.5
11450.9
11432.5
11439.6
11473.3
11449.6
11463.1
11452.3
11427.2
11401.4
11405.6
11360.7
11366.5
11336.1
11317.6
11289.2
11306.6
11306.7
11302.1
11350.6
11343.2
11368.7
11370
11365.4
11334.1
11317.6
11336
11305.5
11330.4
11306.5
11317.9
11321.9
11313.5
11344.5
11307.2
11335.5
11316.7
11334.7
11313.4
11326.3
11313.2
11307.2
11334.8
11321
11323.6
11317.9
11338.3
11330.7
11314.4
11334.7
11335.3
11353.3
11341.7
11366.5
11351.7
11353.6
11364.3
11361
11351.9
11337.9
11372.8
];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Addnum=10;%Number of additional data points in each time interval.
N=Addnum*length(X); %Length of the reconstructed signal(the continuous signal);
Rec=zeros([1,N]);
Rate=zeros([1,N]);
nx=zeros([1,N]);
NX=zeros([1,length(X)]);
zeroline=zeros([1,N]);
index=0;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:N
if mod(i,Addnum)==1
index=index+1;
NX(index)=i;
end
nx(i)=i;
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:N
Rec(i)=0;
Rate(i)=0;
for j=1:length(X)
Rec(i)=Rec(i)+X(j)*sinc((1/Addnum)*(i-Addnum*(j-1)));
Rate(i)=Rate(i)+X(j)*(cos((pi/Addnum)*(i-Addnum*(j-1)))/(i-Addnum*(j-1))-sin((pi/Addnum)*(i-Addnum*(j-1)))/((pi/Addnum)*(i-Addnum*(j-1))^2));
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
mean_X=mean(X);
X=X-mean_X;
mean_Rec=mean(Rec);
Rec=Rec-mean_Rec;
plot(nx,Rec,'sg');
hold on
plot(nx,zeroline,'k');
plot(nx,Rate,'*b');
plot(NX,X,'or')
axis([1000 10000 -400 600])
legend ('Reconstructed Signal','zeroline','Rate Signal','BOLD Signal X')

Akzeptierte Antwort

Vilém Frynta
Vilém Frynta am 12 Mär. 2023
Bearbeitet: Vilém Frynta am 12 Mär. 2023
Use isnan() on the original vector. This will give you logical vector, which tells you where the NaNs are. You can use this index to mark missing values in your plot.
You can't plot NaNs, but you can mark the values which you interpolated, so they stand out.
See my example:
% Creating variables
t = 0:1:5;
y_NaN = [10, 11, 12, NaN, 14, 15];
y = 10:1:15;
% Finding NaNs
idx = isnan(y_NaN);
% Creating plot
plot(t, y,"*") % Plot all the values
hold on
plot(t(idx), y(idx),"r*") % Plot the values which were previously missing
Hope I helped.
Edit: added an example
  3 Kommentare
Walter Roberson
Walter Roberson am 13 Mär. 2023
You are trying to put a nan at the location of nan rates. But those locations are defined by having a Rate of nan, so when you try to plot using those NaN values as the y coordinates, you are using nan as the y coordinate, and that will cause it to not be plotted.
In the below I substitute 0 for the missing y coordinate, and I switched the color to c to avoid conflict with the 'or' of NX,X
... there are a lot of locations. You should put in that fix I showed you in a different one of your questions.
close all; clear all; clc;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
X=[11477.9 11417.3 11426.4 11413 11382.9 11375.1 11347.9 11351.1 11329.3 11318.9 11343.4 11360.7 11378.4 11414.2 11408.2 11413.6 11449.4 11444.1 11421.4 11388.5 11429.3 11438.1 11432.9 11408.2 11434.3 11444.8 11443.5 11491.8 11503.8 11581.8 11525.9 11529.5 11557.6 11523 11516 11504.1 11492.9 11480.3 11495.9 11445.1 11437.7 11468.5 11463 11488.5 11470.3 11491.1 11480.2 11488.9 11453.8 11456 11434.5 11460.6 11456.1 11454 11468.3 11464.4 11501 11453.8 11474.2 11458.2 11452.8 11434.6 11447.3 11379.5 11396.4 11409.9 11405.6 11433.3 11435.6 11434.2 11415.5 11483.6 11434.6 11452.2 11471.5 11445 11462.6 11433.3 11440.2 11442.3 11456 11408.6 11399.7 11369.8 11372.6 11401.4 11405 11426.6 11430.3 11405.6 11409.8 11405 11399.7 11381.2 11392.5 11383.6 11365.8 11362.4 11347.8 11324.9 11353 11330.8 11319.6 11313.2 11322.2 11294.4 11341 11345.3 11325.8 11359.3 11353.1 11330.7 11344.4 11361.9 11375.6 11338.2 11366.3 11349.5 11354.3 11373.5 11396.7 11387.6 11402 11415.8 11401.3 11416.9 11408.7 11371.5 11403.5 11437.4 11438.5 11452.5 11468.8 11428.4 11418.4 11395.3 11437.6 11409 11428.3 11375.6 11361.3 11343.6 11350.5 11357.6 11354.6 11394.5 11404.6 11449.5 11423 11451.8 11455.4 11472.9 11431.5 11453.7 11438.5 11433.6 11425.8 11413.5 11418.7 11395 11404.8 11367.5 11365.8 11351.3 11340.4 11374.3 11365 11397.8 11404 11387.6 11361.9 11354.5 11348.3 11297.2 11284.1 11308.6 11339.1 11354.3 11350.4 11350.6 11353.5 11353.7 11295.5 11303.3 11267.1 11333.3 11351.6 11330.9 11330.8 11336.9 11359.3 11361.6 11382.9 11339.5 11346 11403.5 11371.2 11381.8 11340.7 11374.2 11360.8 11329.8 11361.6 11346.2 11343.8 11313.9 11294.8 11277.7 11289.3 11295 11302.2 11329.8 11339.1 11352.2 11348.7 11353.5 11354.6 11356.4 11336.3 11327 11366.5 11362.4 11372.7 11367 11353.1 11390.2 11391.7 11400.2 11387.9 11371.3 11377.6 11390 11442.7 11429 11445.1 11449.3 11452 11385.5 11395.6 11387.1 11355.4 11334.4 11346.1 11317.3 11337.9 11330.4 11339.2 11351.5 11336.3 11362.8 11342.8 11357.4 11355.3 11364.1 11333.1 11345.1 11355 11349.8 11376.7 11367.7 11394.9 11421.2 11434.2 11459.5 11448.3 11446.3 11432.8 11441.2 11380.6 11395.9 11394.5 11380.9 11364.8 11336.5 11346.2 11376.7 11392.8 11330.1 11361.6 11334.2 11341.4 11327.7 11315.8 11344.8 11328.6 11341.5 11350.6 11363.7 11383.3 11375 11398 11381.4 11411.2 11426.3 11440 11432.5 11438 11436.1 11467.1 11506.6 11461.1 11493.6 11487.1 11461.8 11417.7 11429.3 11406.7 11400.5 11401 11387.3 11399.4 11395.1 11401.3 11379.5 11400.8 11408.7 11447.4 11460.4 11458.7 11432.9 11454.1 11480.8 11474.9 11504.1 11463.2 11530 11539 11531.9 11524.3 11484.2 11521.7 11490 11498.9 11451.1 11461.9 11486.6 11459.8 11463.9 11464.4 11513.1 11529 11534.2 11547.4 11564.6 11566.9 11485.5 11502.6 11471.7 11501.8 11466.6 11410.4 11426.5 11390.9 11426.5 11363.5 11366.3 11389.5 11368.3 11329.5 11315.5 11329.6 11310.7 11318.2 11272.7 11320.9 11320.9 11326.6 11351.1 11330.3 11391.4 11390.9 11388.4 11364.3 11354.7 11374.6 11355 11357.8 11332.7 11376.9 11348.4 11339.5 11382 11370 11343.6 11335.1 11321 11327.7 11294 11302.5 11302.6 11304.3 11299.9 11294.7 11298.9 11305.2 11341 11363.8 11384.5 11389.7 11371.8 11390.4 11402.2 11387.3 11387.6 11387.3 11394.4 11447.1 11465 11431.5 11457.1 11460.6 11485.7 11491 11458.5 11440.9 11434.8 11454.9 11453.5 11463 11446.3 11475.9 11482.5 11457.3 11454.8 11445 11442.8 11440.9 11386.9 11412.6 11387.1 11402 11376.8 11425.7 11426 11426.7 11421.5 11438.4 11455.1 11423 11450 11429.3 11486 11504.3 11494.1 11510.8 11527.5 11562.5 11570.8 11520.7 11496.2 11508.6 11514.3 11457.7 11457.8 11435.8 11465 11475.5 11459.7 11462.8 11452.2 11499.4 11508 11478.9 11483.9 11479.6 11493.1 11451.4 11421.4 11366.3 11389.8 11385 11339.1 11322.4 11336.5 11346.9 11315.2 11328.6 11323 11348.3 11351.3 11346.5 11369.6 11400.5 11426.4 11432.4 11404.5 11415 11428.9 11446.8 11408.2 11417.9 11379.6 11379.4 11411 11383.2 11409.2 11443.8 11453.7 11455.9 11420.4 11392.9 11395.4 11389.9 11358.4 11370.3 11404.4 11406 11418.9 11404.7 11460.1 11472.4 11510.2 11472 11457.3 11493.7 11507.3 11512.8 11489.1 11481.3 11481.6 11451.9 11423.8 11336.1 11413.5 11412.1 11376.1 11368.6 11371.8 11361.7 11320.5 11294.2 11268.4 11302.5 11344.5 11320.8 11345.4 11308.4 11327.4 11337.9 11340 11354.1 11355.1 11376.6 11406.4 11422.9 11434.4 11441.6 11457.7 11474.1 11487.9 11489.5 11461.2 11477.4 11464.9 11506.4 11484.7 11476.8 11466.2 11746 11060.5 11805 11714 11676.6 11674.9 11609.2 11516.9 11505 11534.9 11527.1 11514.4 11513.6 11535.7 11450 11435.1 11390.1 11426.6 11406 11385.3 11359.2 11332.5 11327.7 11302.2 11296.2 11267 11269.5 11246.4 11260.3 11284.6 11268.1 11257.5 11258.9 11252.8 11259.1 11304.2 11286.2 11319.8 11441.8 11558.1 11648.4 11671.6 11658.8 11612.9 11656.8 11823 11659.9 11559.5 11550 11601.1 11528.9 11489.8 11456.9 11447 11441.3 11456.1 11463.4 11443.9 11408.3 11414.5 11406.2 11408.4 11438.5 11427.3 11461.3 11444.7 11421.3 11413.1 11407.6 11421.8 11395 11379.2 11344.8 11333.3 11299 11296.6 11275.3 11275.4 11275.3 11268.8 11279.5 11304.4 11335.2 11284.6 11261.9 11256.3 11237.6 11242.8 11250.3 11298.5 11313.5 11262.5 11254.6 11256.5 11259.6 11258.3 11257.5 11269.6 11321.6 11369.7 11379.5 11356.1 11311.4 11309.1 11296.4 11322.4 11369.7 11398.9 11419.5 11399.9 11398.2 11425.6 11452.6 11476 11492 11438 11413.4 11441.6 11498.6 11481.6 11469.9 11448.4 11434.1 11452.9 11483.7 11463 11470.8 11447.8 11445.5 11446.8 11424.1 11438.2 11465.9 11454.2 11446.3 11448.6 11431.1 11428.8 11416.1 11407.1 11412.1 11448.8 11449.7 11442.1 11424.9 11409.3 11402.4 11386.8 11413.2 11434.9 11447.9 11441.4 11434.9 11405.2 11414.3 11416.5 11437.9 11455.2 11404.8 11422.6 11435.6 11424.7 11457.5 11439 11442.2 11398.3 11381 11424.2 11421.2 11391 11390.9 11384.8 11402 11396.7 11382.7 11388.9 11357.5 11377.2 11353.7 11334.6 11346.5 11335.4 11330.6 11321 11329.2 11354.6 11369.8 11361 11363 11355.9 11399.1 11394 11410.7 11394 11405.1 11407.4 11399.2 11438 11435.8 11429.7 11419.8 11387.2 11375.3 11381.1 11381.3 11397.8 11383.4 11364.6 11332.7 11317 11345.3 11322 11359.8 11337.2 11331.4 11319.2 11321.3 11325 11334.7 11360.3 11356 11337.7 11343.6 11353.7 11379.3 11436.6 11428.2 11437.8 11411.4 11438.8 11461.5 11468.5 11489.3 11459.3 11437.7 11415.6 11398.6 11418.8 11415.6 11394.3 11380 11365.9 11366.6 11369.4 11386.2 11405.7 11349 11372.3 11370.5 11370.2 11402.6 11385 11401.8 11382.5 11362.5 11353.6 11368.9 11365.3 11377.3 11375.3 11385.2 11364.7 11357 11366.8 11337.1 11348.1 11316.3 11308.3 11322.2 11311 11341.8 11350.1 11340.1 11348.3 11338.4 11379.9 11395.1 11368.1 11363.4 11342.3 11329.5 11317.9 11318.7 11304.5 11256.4 11277.6 11247.3 11264.2 11247.9 11245.6 11243.5 11257.1 11289.5 11250.5 11252.9 11243.2 11278.9 11323.5 11299.4 11328.1 11306.9 11311.5 11317.8 11308.3 11302.3 11276.2 11295.2 11252.7 11267.4 11268.3 11265.8 11271.8 11266.6 11280.2 11273.3 11300.6 11280.5 11298.7 11341.9 11336.2 11354.5 11351 11344.7 11346.5 11321.8 11358.6 11340.5 11352.6 11333.3 11347.1 11369.5 11352.9 11359.9 11335.2 11308.9 11331.4 11319.5 11344.5 11337.1 11352.8 11371.9 11359.4 11373.2 11339.4 11340.5 11343.4 11326.3 11332 11300.9 11335.2 11319.5 11327 11353.4 11358.1 11376.5 11356.3 11369.2 11381.7 11364.1 11392.4 11363.8 11376.8 11371.5 11366 11401 11366 11374.2 11347.6 11350.8 11354.1 11348.3 11377.9 11350.9 11384.9 11370.2 11378.9 11410.1 11399.8 11422.8 11390.8 11410.8 11377.9 11365.6 11390 11363 11373.6 11358.8 11350.5 11370.1 11377.4 11421.5 11392.7 11429.5 11429.2 11440.5 11469.2 11415.8 11402.9 11349.8 11338.3 11312.8 11319.9 11323.2 11316.9 11320.3 11304.7 11311 11360.6 11354.3 11396.2 11376.8 11390.6 11404.5 11413.7 11394.7 11377.3 11346.3 11358.1 11339.4 11379.6 11358.9 11372.3 11377.1 11367.6 11389.9 11360 11408.8 11376 11373.3 11344.2 11342.9 11355.1 11328.9 11348.1 11348.7 11350.8 11371.7 11362.2 11360.3 11338.7 11319.6 11306.7 11320.4 11350.3 11314.6 11356.8 11356.7 11398.8 11377.8 11368 11365.7 11357.6 11368.1 11362.3 11385.3 11380.3 11398.1 11368.4 11390.9 11410.7 11371.2 11386.2 11375.6 11370.2 11401.5 11394.5 11388.7 11370.1 11391.7 11399.6 11393.8 11398.6 11417.7 11413.5 11397 11432.9 11415.3 11423.2 11402.4 11399.1 11402.7 11390.5 11421.6 11378.3 11409.1 11408.5 11408.3 11442.2 11410.2 11449.1 11428.1 11444.5 11461.2 11437.1 11380 11384.3 11380.8 11356.6 11371.3 11360.7 11384.6 11389.7 11364.9 11370.7 11354 11356.8 11380.4 11371.1 11396.3 11370 11392.6 11369.9 11382.5 11372.3 11359.6 11335 11324.7 11337.8 11338.7 11345 11321.7 11350.4 11345.6 11366.6 11346 11325 11331.1 11336.8 11337.5 11323.5 11337.6 11310.2 11316.2 11367.4 11346.4 11372 11379.5 11389.3 11374.4 11372.5 11371.7 11356 11354.2 11335.5 11372.6 11370.7 11386.8 11363.4 11358.3 11397.9 11383.7 11396.8 11397.8 11385.2 11401.2 11395.9 11398.1 11394 11399.5 11373.6 11388.2 11377.5 11394.6 11414 11393.3 11406.4 11405.6 11410.5 11434.6 11413.3 11453.9 11439.2 11457.6 11458.4 11446.7 11439.1 11433.6 11441.8 11414.7 11436.4 11403.5 11450.9 11432.5 11439.6 11473.3 11449.6 11463.1 11452.3 11427.2 11401.4 11405.6 11360.7 11366.5 11336.1 11317.6 11289.2 11306.6 11306.7 11302.1 11350.6 11343.2 11368.7 11370 11365.4 11334.1 11317.6 11336 11305.5 11330.4 11306.5 11317.9 11321.9 11313.5 11344.5 11307.2 11335.5 11316.7 11334.7 11313.4 11326.3 11313.2 11307.2 11334.8 11321 11323.6 11317.9 11338.3 11330.7 11314.4 11334.7 11335.3 11353.3 11341.7 11366.5 11351.7 11353.6 11364.3 11361 11351.9 11337.9 11372.8 ];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Addnum=10;%Number of additional data points in each time interval.
N=Addnum*length(X); %Length of the reconstructed signal(the continuous signal);
Rec=zeros([1,N]);
Rate=zeros([1,N]);
nx=zeros([1,N]);
NX=zeros([1,length(X)]);
zeroline=zeros([1,N]);
index=0;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:N
if mod(i,Addnum)==1
index=index+1;
NX(index)=i;
end
nx(i)=i;
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:N
Rec(i)=0;
Rate(i)=0;
for j=1:length(X)
Rec(i)=Rec(i)+X(j)*sinc((1/Addnum)*(i-Addnum*(j-1)));
Rate(i)=Rate(i)+X(j)*(cos((pi/Addnum)*(i-Addnum*(j-1)))/(i-Addnum*(j-1))-sin((pi/Addnum)*(i-Addnum*(j-1)))/((pi/Addnum)*(i-Addnum*(j-1))^2));
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
mean_X=mean(X);
X=X-mean_X;
mean_Rec=mean(Rec);
Rec=Rec-mean_Rec;
idx = isnan(Rate);
plot(nx(~idx),Rec(~idx),'sg');
hold on
plot(nx(~idx),zeroline(~idx),'k');
plot(nx(~idx),Rate(~idx),'*b');
plot(NX,X,'or')
axis([1000 10000 -400 600])
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
plot(nx(idx), 0,"c*") % Plot the values which were previously missing
Haya Ali
Haya Ali am 13 Mär. 2023
Thanks a lot here too Walter!

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Image Analyst
Image Analyst am 12 Mär. 2023

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