Abstract
By choosing a particular equalizer it is useful to know in advance if the chosen equalizer leads to perfect equalization performance. In this chapter, we explain how we can know without carrying out any simulation, if the chosen equalizer leads to perfect equalization performance for the real valued and two independent quadrature carrier case. We derive in this chapter for the real valued and two independent quadrature carrier case, some conditions on the input constellation statistics for which perfect equalization performance is obtained for type of blind equalizers where the error that is fed into the adaptive mechanism which updates the equalizer's taps is expressed as a polynomial function of order three. We show also that perfect equalization performance can not be obtained for type of blind equalizers where the error that is fed into the adaptive mechanism which updates the equalizer's taps is expressed as a polynomial function of order three, when dealing with the noiseless and 16QAM constellation input case.
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