I’m doing my bachelor’s right now. I have learned continuous and discreet convolutions, so I feel like I should know how to answer this question. But I’m not sure how to go about it. I came across this question on an internship application btw.

I have never heard of “20 tap filter”.is that just a FIR filter with 20 coefficients?
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Here’s my attempt:
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If I was to use something like Matlab, I would let t= 100 time series and h = 20 tap filter transfer function.Then zero pad both to the correct length to prevent circular convolution. Correct length= (length of x) + (length of h)-1.

Then, Linear convolution= invFFT[FFT{t} * FFT{h)]

Is that a good and proper answer?

Thank you for any help/feedback!