An interference cancelling matched filter (ICMF) may include an antenna for receiving a signal burst including a training sequence therein, and an adaptive space-time filter connected to the antenna and having settable filter coefficients. The ICMF may further include a channel impulse response estimator for estimating a channel impulse response based upon the training sequence, and a signal blocker operatively connected between the channel impulse response estimator and the adaptive space-time filter so that the filter coefficients thereof are set based upon the training sequence.