Indexing must appear last in an index expression - matlab

Question

I have a vector CD1 (120-by-1) and I separate CD1 into 6 parts. For example, the first part is extracted from row 1 to row 20 in CD1, and second part is extracted from row 21 to row 40 in CD1, etc. For each part, I need to compute the means of the absolute values of second differences of the data.
for PartNo = 1:6
% extract data
Y(PartNo) = CD1(1 + 20*(PartNo-1):20*(PartNo),:);
% find the second difference
Z(PartNo) = Y(PartNo)(3:end) - Y(PartNo)(1:end-2);
% mean of absolute value
MEAN_ABS_2ND_DIFF_RESULT(PartNo) = mean(abs(Z));
end
However, the commands above produce the error:
()-indexing must appear last in an index expression for Line:2
Any ideas to change the code to have it do what I want?

Answer 1

This error is often encountered when Y is a cell-array. For cell arrays,
Y{1}(1:3)
is legal. Curly braces ({}) mean data extraction, so this means you are extracting the array stored in location 1 in the cell array, and then referencing the elements 1 through 3 of that array.
The notation
Y(1)(1:3)
is different in that it does not extract data, but it references the cell's location 1. This means the first part (Y(1)) returns a cell-array which, in your case, contains a single array. So you won't have direct access to the regular array as before.
It is an infamous limitation in Matlab that you cannot do indirect or double-referencing, which is in effect what you are doing here.
Hence the error.
Now, to resolve: I suspect replacing a few normal braces with curly ones will do the trick:
Y{PartNo} = CD1(1+20*(PartNo-1):20*PartNo,:); % extract data
Z{PartNo} = Y{PartNo}(3:end)-Y{PartNo}(1:end-2); % find the second difference
MEAN_ABS_2ND_DIFF_RESULT{PartNo} = mean(abs(Z{PartNo})); % mean of absolute value

Answer 2

I might suggest a different approach
Y = reshape(CD1, 20, 6);
Z = diff(y(1:2:end,:));
MEAN_ABS_2ND_DIFF_RESULT = mean(abs(Z));

Answer 3

This is not a valid statement in matlab:
Y(PartNo)(3:end)
You should either make Y two-dimensional and use this indexing
Y(PartNo, 3:end)
or extract vector parts and use them directly, if you use a loop like you have shown
for PartNo = 1:6
% extract data
Y = CD1(1 + 20*(PartNo-1):20*(PartNo),:);
% find the second difference
Z = Y(3:end) - Y(1:end-2);
% mean of absolute value
MEAN_ABS_2ND_DIFF_RESULT(PartNo) = mean(abs(Z));
end
Also, since CD1 is a vector, you do not need to index the second dimension. Drop the :
Y = CD1(1 + 20*(PartNo-1):20*(PartNo));
Finally, you do not need a loop. You can reshape the CD1 vector to a two-dimensional array Y of size 20x6, in which the columns are your parts, and work directly on the resulting matrix:
Y = reshape(CD1, 20, 6);
Z = Y(3:end,:)-Y(1:end-1,:);
MEAN_ABS_2ND_DIFF_RESULT = mean(abs(Z));