In this thesis the problem of blind equalisation of stationary and fading mobile channels is investigated. Blind equalisers achieve a bandwidth economy by eliminating the training overhead, often invoked in trained channel equalisation. The family of blind equalisers found in the literature is critically appraised and the achievable performance is evaluated by computer simulations. We focus our attention on the set of per-survivor processing based techniques as well as on the Bussgang techniques. A specific application is also considered in the context of digital video broadcasting.An extension of the well-known constant modulus algorithm, namely the DFE-CMA [1,2], is proposed for equalising channels having a long inverse impulse response. ...