ABSTRACT

The problem of data transmission can be defined, in simple terms, as that of allowing proper information exchange between a transmitter and a receiver interconnected by what is generally termed communication channel. Equalizer design is a task that can be approached from a number of stand-points that are insinuated by the character of the application at hand. The aperiodic regions indicated in the diagram are associated with a positive exponent, which shows that they, indeed, correspond to chaotic behavior. After the chaotic zone, which is permeated by periodicity windows, there is actual divergence towards infinity. It can be seen that the dynamical repertoire present in this two-tap case is similar to that verified for the single-tap case: the equilibrium point is stable for a range of step-size values and, when its stability is lost, a cascade of period-doubling bifurcations takes place, after which the equalizer becomes subject to chaotic behavior.