A Nuclear Norm Heuristic Approach to Fractionally Spaced Blind Channel Equalization

This letter proposes an algorithm for the blind fractionally spaced equalization (FSE). We show that the rank minimization approach leads to the reduction of degrees of freedom in the blind FSE problem and improves the quality of equalization. By introducing the nuclear norm heuristic, the design problem of blind channel equalization is formulated as the nuclear norm minimization problem. We also show that the effect of noise is reduced by minimizing the nuclear norm. Numerical examples demonstrate the effectiveness of the proposed algorithm.