At the mirrors of a Laser-Diode Self-Mixing Interferometer, the output beams carry anti-correlated (i.e., in phase opposition) interferometric signals, whereas the superposed noise fluctuations are (partially) correlated. Therefore, by using as an instrumental output of the interferometer the difference of the two, we double the amplitude of the self-mixing useful signal while the superposed noise is reduced. To validate the idea, we first calculate the noise reduction by means of a second-quantization model, finding that in a laser diode the SNR can be improved by 8.2-dB, typically. Then, we also carry out an experimental measurement of SNR and find very good agreement with the theoretical result.