Interference suppression in a receiver in a wireless network that utilizes training sequences for synchronization and channel estimation, wherein the training sequence of an interfering channel overlaps the training sequence of a desired channel to cause degraded channel estimation, by generating a channel estimate for a carrier part of a received signal; generating a residual signal where the carrier part has been removed from the received signal; generating covariance matrix estimates for interferer channel estimate candidates; selecting carrier and interferer channel estimates having the lowest energy in the covariance matrix; and, explicitly generating the selected interferer channel estimate.