Blind equalization method for a high definition television signal

S2S Sn3nn SppSp Spnp+1nAn adaptive equalizer updates its tap coefficients with the aid of an error signal e(k)=sign[z(k)]*(R−|z(k)|) where sign[ ] is the sign function, z(k) is the equalizer output at symbol time k, | | is the magnitude function and Ris a positive real constant, which is optimally defined as R=E{|a|}/E{|a|}, where E{ } is the mathematical expectation function and ais the information symbol at symbol time n. A generalized equalizer error signal satisfies e(k)=sign[z(k)]*(R−|z(k)|) where Ris a positive real constant, which is optimally defined as R=E{|a|}/E {|a|} and p is a positive integer. The equalizer conducts blind equalization of an Advanced Television Systems Committee-High Definition Television signal and any other one-dimensional modulation system.