Dimensional error while running the code from matlab documentation

2020 4 17
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更新时间：2020 4 17
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fs = 1e3;
t = 0:1/fs:1;
x = [2 1 2]*sin(2*pi*[50 150 250]'.*t) + randn(size(t))/10;
in this code the dimension of the t mismatches with [50 150 200]'. how could i possibly get the output without dimesnsional error?

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Tommy
Tommy 2020-4-17

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This code should run without error in R2016b and later due to implicit expansion, as t is a row vector and [50 150 200]' is a column vector. This is similar to
>> [1;2].*[1:10]
ans =
1 2 3 4 5 6 7 8 9 10
2 4 6 8 10 12 14 16 18 20
which might also be expected to result in an error.
See https://blogs.mathworks.com/loren/2016/10/24/matlab-arithmetic-expands-in-r2016b/ and https://stackoverflow.com/questions/47298743/element-wise-mutiplication-of-vectors-gives-matrix-in-matlab for detailed explanations.

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