We obtain the convergence of the Godard family (including SATO and CM algorithms) in a unified way. Our assumptions are quite realistic: the channel input can be asymptotically stationary and ergodic, the channel impulse response is finite and can be stationary, ergodic (this models fading channels) and the equalizer length is finite. The noise is i.i.d. The channel input can be discrete or con...

Centro de Ciências Naturais e Humanas – CCNH, Universidade Federal do ABC – UFABC, Rua Santa Adélia, 166, Bangu, CEP 09210-170, Santo André, SP, Brazil Centro de Engenharia e Ciências Sociais Aplicadas – CECS, Universidade Federal do ABC –UFABC, Rua Santa Adélia, 166, Bangu, CEP 09210-170, Santo André, SP, Brazil Centro de Ciência e Tecnologia de Materiais – CCTM, Instituto de Pesquisas Energét...

1 Ph.D. Professor of Dermatology Department and Radiation therapy of the Faculdade de Medicina de Botucatu FMB-Unesp Botucatu (SP), Brasil. 2 Dermatologist of the discipline of Telemedicine of the Faculdade de Medicina da Universidade de Sáo Paulo USP São Paulo (SP). Ph.D. student of the discipline of Telemedicine of the Faculdade de Medicina da Universidade de Sáo Paulo USP São Paulo (SP). Spe...

The aim of this paper is to give an overview of some of the existing homology theories for commutative (S-)algebras. We do not claim any originality; nor do we pretend to give a complete account. But the results in that field are widely spread in the literature, so for someone who does not actually work in that subject, it can be difficult to trace all the relationships between the different ho...

We study translation planes constructed by André net replacement on jj · · · jplanes and derivation on jj · · · j-planes. Then, we get to the conclusion that the family of non-André jj · · · j-planes is new, and thus so are their replaced and derived planes. We also study a new way to construct translation planes by putting together two ‘halves’ of planes that belong to two different jj · · · j...