Convolution of functions using data?

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Hi everyone.
I would like to find the convolution between two datasets and graph the result. I tried with several tools on matlab but I didn't obtain what I'm searching.
I have two spectra that overlap and I would like to find the convolution between them. The spectra are in vector form, defined by two vectors x and y for each spectrum.
I already used polyfit and interp1 to get the function for my dataset but they can't fit them optimally.
for the first spectrum: x='l544dim' and y='a544dim_n'
for the second spectrum: x='l_laser' and y='a_laser_norm'
Thanks in advance!

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