Taking inverse Fourier transform in column-wise and solve it in row-wise

$$\DeclareMathOperator{\FFT}{FFT}\DeclareMathOperator{\IFFT}{IFFT}$$Assuming I have a matrix $$X$$ of size $$64\times16$$. Taking the $$\IFFT$$ for it in column-wise, I means that $$Y = \IFFT(X)$$;

Is it possible to get a relationship between every row in $$X$$ and its corresponding row in $$Y$$?

• I agree, but I have seen this paper. arxiv.org/pdf/1512.06502.pdf Then checked Eq(12). If we put $H_l = I$, that'll mean we got relationship between every row however the ifft was taken column-wise – Fatima_Ali May 27 '20 at 10:33