2023 journal article
A Novel Approach for Unit-Modulus Least-Squares Optimization Problems
IEEE Signal Processing Letters.
TL;DR:
A novel constrained least-squares optimization problem is described and an iterative solution that deals with the constraints of placing variables on the complex unit circle is proposed that achieves efficient closed-form local updates based on Procrustes orthogonal solutions that monotonically improve the objective function.
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(Web of Science)
Source: ORCID
Added: March 9, 2023
We describe a novel constrained least-squares (LS) optimization problem and propose an iterative solution that deals with the constraints of placing variables on the complex unit circle. We reformulate the LS problem with unit magnitude constraints so that we obtain efficient closed-form local updates based on Procrustes orthogonal solutions that monotonically improve the objective function. We show the performance of the proposed algorithm in a synthetic experiment and an application to hybrid precoding/combining in mmWave MIMO communications.