A method for diminishing passive intermodulation (PIM) is provided. The method comprises: upsampling an uplink baseband modulated signal; upsampling a downlink baseband modulated signal; determining a time delay for the upsampled downlink baseband modulated signal; time delaying the upsampled downlink baseband modulated signal by the determined time delay; estimating a third order PIM distortion (PIMD) product by filtering the time delayed, upsampled downlink baseband modulated signal with a third order power series kernel; generating a first filtered signal by subtracting the estimated third order PIMD product from the upsampled downlink baseband modulated signal; estimating a Nth order PIMD product by filtering the time delayed, upsampled downlink baseband modulated signal with a Nth order power series kernel; generating a nth filtered signal by subtracting the estimated Nth order PIMD product from the n−1th filtered signal; and downsampling the nth filtered signal.