Polynomial Moment Relaxation for MIMO Detection

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Executive Summary

The authors develop a polynomial-time detector for Maximum Likelihood (ML) detection over Multiple-Input Multiple-Output (MIMO) channels. Their proposed Polynomial Moment Relaxation (PMR) detection gives a unified framework for MIMO detection with relaxation including semi-definite relaxation as a special case. They give three approaches to replace a finite alphabet constraint with a polynomial constraint. Since both the objective function and the constraints are polynomials, they use a moment relaxation approach by applying the dual theories of moments and positive polynomials solvable by semi-definite programming

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