Fast Fourier transform to perform deconvolution with log time

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larry liu
larry liu 2022-3-12
评论： yicong 2024-9-6
I have two 1-D data with x-axis is log(t) but not t below with my data,
I have trouble using fft to perform R(z) = da(z)/dz ⊗−1 (deconvolution) w(z). to get R(z)
I tried a=fft(da/dz) and w=fft(wz) and R=a./w and using ifft(R) to get R(z) , but result is quite strange
below is the result R(z) I shold get.
can anyone told me how to got R(z) by deconvolution using fft and ifft?

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回答（1 个）

Wolfgang
Wolfgang 2022-8-2
Hello larry liu,
it seems like I have exactly the same problem. I'm trying to do the deconvolution of a thermal impedance curve and I'm stuck with the deconvolution part.
Top left is the testcurve generated from discrete R and C values
Top right are the time constants of these RC-values, therefore I expect some curve at the output that looks at least somehow similar to these stems.
The bottom plots show the two curves which need to be devonvolved with each other.
This is the result I get. It makes absolutely no sense:
Did you find a solution?
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Wolfgang
Wolfgang 2024-1-8
Hello Savas,
sadly I have to admit that I did not further investigate on the problem as I got distracted on other topics.
Nevertheless I'm still looking for a solution to get it working.
yicong
yicong 2024-9-6
How do you solve this problem? Could you give some other insight about this matrix W?

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