I have a set of data as a matrix that contains 2 columns and 1001 rows. The firs

Question

I have a set of data as a matrix that contains 2 columns and 1001 rows. The first column is the frequency ( from 3.1 GHz to 4 GHz), and the second column is the return loss (S11). I want this data to be in the time domain so i can reconstruct an image. I know that this data represent a continuous signal becouse the differences between each two frequencies is not the same. Therefore, I have to use iFourier to convert the signal to inverse fourier transform. How can I use the function (iFourier) in properly Matlab??

Explanation / Answer

Find the inverse Fourier transform of the matrix M. Specify the independent and transformation variables for each matrix entry by using matrices of the same size. When the arguments are nonscalars, ifourier acts on them element-wise. Here its for 2x2 matrix you can expand the matrix as per your requirement syms a b c d w x y z M = [exp(x), 1; sin(y), i*z]; vars = [w, x; y, z]; transVars = [a, b; c, d]; ifourier(M,vars,transVars)

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