A method of simultaneously determining a DC offset and a channel impulse response from a received signal in a mobile communication system. The received signal comprising a set of training sequence bits that have been modulated prior to transmission. The modulated signals experience a certain phase shift and are rotated by a certain angle. The received signal may also comprise a DC offset component that needs to be removed By manipulation of the received signal samples with the knowledge of the original training sequence and method of modulation used, it is possible to simultaneously estimate the communication channel's impulse response and the DC offset by finding the Least Squares solution to a linear equation, such that the energy of the noise term introduced into the communication channel may be kept to a minimum. An improved technique utilising a priori information is also described.