In this paper, a new adaptive H-infinity filtering algorithm is developed t
o recursively update the tap-coefficient vector of a decision feedback equa
lizer (DFE) in order to adaptively equalize the time-variant dispersive fad
ing channel of a high-rate indoor wireless personal communication system. D
ifferent from conventional L-2 [such as the recursive least squares (RLS)]
filtering algorithms which minimize the squared equalization error, the ada
ptive H-infinity filtering algorithm is a worst case optimization. It minim
izes the effect of the worst disturbances (including input noise and modeli
ng error) on the equalization error. Hence, the DFE with the adaptive H-inf
inity filtering algorithm is more robust to the disturbances than that with
the RLS algorithm. Computer simulation demonstrates that better transmissi
on performance can be achieved using the adaptive H-infinity algorithm when
the received signal-to-noise ratio (SNR) is larger than 20 dB.