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Constant modulus sequence having lower side-lobe levels in itsauto-correlation function plays an important role in the applications likeSONAR, RADAR and digital communication systems. In this paper, we consider theproblem of minimizing the Integrated Sidelobe Level (ISL) metric, to design acomplex unimodular sequence of any length. The underlying optimization problemis solved iteratively using the Block Majorization-Minimization(MM) technique,which ensures that the resultant algorithm to be monotonic. We also show acomputationally efficient way to implement the algorithm using Fast FourierTransform (FFT) and Inverse Fast Fourier Transform (IFFT) operations. Numericalexperiments were conducted to compare the proposed algorithm with thestate-of-the art algorithms and was found that the proposed algorithm performsbetter in terms of computational complexity and speed of convergence.

Designing unimodular sequence with good auto-correlation properties via Block Majorization-Minimization method