Convexity in SISO blind equalization
نویسندگان
چکیده
In [1], a new class of blind equalization cost functions was proposed. They have the particularity of being unimodal, and some of them, sectionally convex in the Combined System Domain (CDS), both properties seeming very attractive for a cost function, though no proof (or specific definition) was given of the sectional convexity. In this paper we show, using a particular case of this class, that sectional convexity not only implies to fix a delay, but that it also requires to fix the value of the coefficient associated to such delay. We show that the CMA criterion shares the same property, and the difficulty of maintaining this property in actual algorithms.
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