A Novel Algorithm for Apodization and Super-Resolution in Fourier Imaging

Finiteness of data causes spectral leakage and degradation of spectral resolution in the transformed domain. A set of methods known under the name of `non linear apodization techniques' have been used to reduce the spectral leakage. Similarly, there are different super-resolution techniques exist to enhance the spectral resolution. In the current work, we propose a simple algorithm which can suppress the spectral leakage completely and simultaneously enhance the spectral resolution. In this algorithm, we are exploiting the fact that the mainlobe width is twice of the sidelobe width. The merits of the proposed technique in comparison to existing classical apodization and super-resolution techniques have been demonstrated.