Adaptive fractionally spaced blind equalization

The asymptotic behavior of the FSE-CMA (i.e., fractionally spaced equalizer adapted by the Godard algorithm) is studied. Under conditions on the channel and equalizer finite length that are known to allow perfect equalization, the authors show that the FSE-CMA cost-function admits only global maxima, global minima and saddle points. However, the set of global minima contains dense sets of infinite extent which can lead to numerical overflow.<>