A radio frequency signal separation and suppression system comprising: a) an input to the radio frequency signal separation and suppression system, the input to the radio frequency signal separation and suppression system being arranged to couple to a radio frequency signal comprising desired and undesired radio frequency signals; wherein the system further comprises: b) a reproduction generator (106, 400) comprising an input connected to the input (102, 414) to the radio frequency signal separation and suppression system, a parameter generator (116, 406) configured for generating signal parameters of the undesired radio frequency signal, a basis function generator (118, 402) connected to the parameter generator (116, 406) configured for receiving signal parameters from the parameter generator (116, 406) and for generating a linear combination of weighted basis functions of the undesired radio frequency signal, and a basis function adjuster (120, 404) configured for adjusting weighting of the basis functions in order to maximize a correlation between the generated reproduction and a sum of the desired signal and the undesired signal, the reproduction generator (106, 400) being configured for producing a reproduction from the radio frequency signal of the undesired radio frequency signal at an output; and c) an electrical subtractor having a first input that is electrically connected to the output of the reproduction generator (106, 400) and a second input that is electrically connected to the input to the radio frequency signal separation and suppression system, the electrical subtractor being configured for generating an output radio frequency signal comprising the desired radio frequency signal and a suppressed undesired radio frequency signal at an output. a) an input to the radio frequency signal separation and suppression system, the input to the radio frequency signal separation and suppression system being arranged to couple to a radio frequency signal comprising desired and undesired radio frequency signals; b) a reproduction generator (106, 400) comprising an input connected to the input (102, 414) to the radio frequency signal separation and suppression system, a parameter generator (116, 406) configured for generating signal parameters of the undesired radio frequency signal, a basis function generator (118, 402) connected to the parameter generator (116, 406) configured for receiving signal parameters from the parameter generator (116, 406) and for generating a linear combination of weighted basis functions of the undesired radio frequency signal, and a basis function adjuster (120, 404) configured for adjusting weighting of the basis functions in order to maximize a correlation between the generated reproduction and a sum of the desired signal and the undesired signal, the reproduction generator (106, 400) being configured for producing a reproduction from the radio frequency signal of the undesired radio frequency signal at an output; and c) an electrical subtractor having a first input that is electrically connected to the output of the reproduction generator (106, 400) and a second input that is electrically connected to the input to the radio frequency signal separation and suppression system, the electrical subtractor being configured for generating an output radio frequency signal comprising the desired radio frequency signal and a suppressed undesired radio frequency signal at an output.