This invention relates to a method and apparatus for channel estimation. A method of determining a maximum likelihood frequency domain estimate of the channel response of a channel between at least one transmitting peer and at least one receiving peer, the method comprising transmitting N_U reference tones from the transmitting peer to the receiving peer; capturing the N_U reference tones at the receiving peer; and determining at the receiving peer from the N_U reference tones the maximum likelihood frequency domain estimate of the channel response at N_F predetermined frequencies by directly exploiting the finiteness of the time response of the channel.