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The present paper offers a link between fixed point theory and thresholding; one of the key enablers in sparsity-promoting algorithms, associated mostly with non-convex penalizing functions. A novel family of operators, the partially quasi-nonexpansive mappings, is introduced to provide the necessary theoretical foundations. Based on such fixed point theoretical ground, and motivated by hard thresholding,...
<para> This paper uses the Hybrid Steepest Descent Method (HSDM) to design robust smart antennas. Several design criteria as well as robustness are mathematically described by a finite collection of closed convex sets in a real Euclidean space. Desirable beamformers are defined as points of the generalized convex feasible set which is well defined even in the case of inconsistent design criteria...
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