How to find the maximum value of C that corresponds to a set of X,Y coordinates?

I have a spectrogram plot that contains X,Y and C. I want to find the maximum values of C from that spectrogram and also the XY coordinates that they correspond to. I have this so far but I am not sure how to get the X,Y coordinates that each value of max C corresponds to.

imagesc(X,Y,10*log10(C))

maxC = max(C);

Answer 1

[Star Strider]

The spectrogram plot is actually a surf plot with the view set to display it looking from the top, so the ‘Z’ values will give you all the information you want.

One way of getting that information from the spectrogram is to use the medfreq funciton. See Track Chirps in Audio Signal for an example.

[Brianna Miranda]

This does not address my question. I am asking how to find the x & y coordinates of the matrix that correspond to the maximum z value. Your response only finds the average value of the maximum z value. I want all maximum z values that correspond to every x coordinate and a list of all the x and y values those z values correspond to.

[Star Strider]

With a spectrogram, the ‘maximum’ can be defined as the maximum value of the ‘Z’ matrix (the eqay solution), or the maximum frequency with respect to time (the solution that the link I posted could be useful to find).

The maximum value of the ‘Z’ matrix is simply:

[r,c] = find(Z == max(Z(:))

so for example —

[X,Y] = ndgrid(1:0.1:5);
Z = randn(size(X))

Z = 41×41

-0.0639 -2.4202 -0.5892 -0.3153 -1.2375 0.2582 0.5664 -0.0020 -0.4781 -0.4400 0.3104 -1.6870 2.3617 0.1904 0.4709 0.5604 0.9655 1.4496 0.8379 1.5481 -0.2459 0.1577 2.6907 1.9585 -0.7600 0.8633 -0.0593 -0.0278 -0.7414 0.2447 -0.8915 -1.3448 -0.9731 1.4001 -1.4113 0.0759 -0.3949 1.0819 -1.2504 0.2395 -0.5119 0.4586 -0.9246 0.8510 1.2941 1.2805 -0.4253 -0.0403 1.7856 -1.3657 1.5380 -0.8891 -0.9842 0.6527 -2.5084 -1.8022 0.3371 1.2054 -0.6248 -0.9365 0.0217 0.7413 0.9703 -1.3422 -0.6889 2.4894 -0.8549 -0.4740 -0.2225 -0.5694 -2.0222 1.1507 -0.2375 -2.5342 0.8704 0.9467 -1.1114 -2.4286 -0.3480 -1.4527 0.8740 -0.5818 -1.1733 0.6569 1.0697 0.2519 -1.4657 0.9207 -0.5496 0.5370 -0.3532 0.4664 -1.1207 -0.2304 0.0524 -0.0722 0.3842 -0.5589 -1.0253 0.6298 -0.3426 -0.8348 -2.4134 1.7251 -2.4607 -1.6548 -0.1585 -1.3724 1.6503 -0.1679 -0.6309 -0.2147 -0.6524 0.7183 -2.7147 1.3611 1.0592 -0.5393 1.2776 0.6410 0.7345 -0.1412 1.6778 -0.8870 0.1101 -0.2241 0.2429 1.8206 -0.6441 1.5836 -0.6047 1.9053 1.9305 0.3951 0.5758 -1.3763 0.2552 -1.7303 -0.0525 3.0846 -1.0426 0.0874 -0.3216 0.1369 0.2692 1.2349 0.5056 -1.2016 -0.8287 -0.7030 -1.6341 -0.6052 0.1854 -0.5525 -1.5532 -1.9856 0.6408 1.9057 -1.3372 1.1240 -0.4402 -1.4120 -0.1029 -0.5735 -0.2999 -0.0698 1.8575 0.2400 1.4729 0.6123 -0.0452 0.4546 0.5246 0.8361 2.2197 -0.6524 -0.1364 0.8422 0.4287 -0.7655 0.6935 0.9505 -0.1121 -1.8347 -1.2506 -1.0413 1.2313 -0.0750 -0.9505 0.1271 -0.5988 -1.3527 1.5817 0.4073 0.0950 -0.1533 -1.4091 1.1605 -1.0842 -0.9306 -0.3523 -1.8747 0.3412 1.2081 -2.6801 0.1715 0.0911 -0.1921 -1.0078 0.3955 0.1917 -0.5632 1.3781 1.4707 -0.7444 -1.0536 -0.4651 -0.4820 1.1504 -0.2833 1.1034 -0.0543 -0.1905 -0.2366 -2.0467 -0.1114 1.0882 -0.2817 0.5707 -0.7683 -1.1562 -0.3642 -1.0025 -0.7422 0.3502 -1.0852 -0.1734 1.7628 -0.7464 -0.8762 -1.6987 -0.3549 1.3508 -1.3206 -1.7158 0.6468 1.0099 -0.2371 0.2916 0.0334 0.3175 0.2897 -0.3463 1.5408 2.0720 0.1516 0.3823 -1.3584 1.1463 0.2069 1.2317 0.2429 1.4249 -0.0526 0.5708 -0.0585 0.1757 1.1555 -0.0869 -0.3246 1.1156 -0.5752 0.8764 -1.7859 -1.9668 -0.8118 0.0052 -1.3435 -0.5732 0.7530 -0.3858 0.0806 -0.7766 0.4792 2.5190 -0.6782 -1.3124 -0.4009 -1.7604 0.2375 -1.4506 0.9221 -0.9909 -0.3864 -0.5869 -0.0340 -1.1347 1.2365 -0.0547 -0.7845

[r,c] = find(Z == max(Z(:)))

r = 13

c = 9

maxZ = Z(r,c)

maxZ = 3.2838

figure
surf(X,Y,Z)
hold on
stem3(X(r,c),Y(r,c),Z(r,c), '^r', 'MarkerFaceColor','r')
hold off
grid on

.

Answer 2

[Voss]

X = 1:3:31;
Y = 1:2:13;
C = rand(numel(Y),numel(X));

imagesc(X,Y,10*log10(C))
[maxC,idx] = max(C(:))

maxC = 0.9986

idx = 58

[yidx,xidx] = ind2sub(size(C),idx)

yidx = 2

xidx = 9

maxX = X(xidx)

maxX = 25

maxY = Y(yidx)

maxY = 3

line(maxX,maxY,'Marker','x','MarkerEdgeColor','r')