The invention relates to a hearing aid system comprising an input transducer for converting an input sound signal comprising an information signal part of a known waveform and a background noise part to an electrical analogue input signal, optionally an A/D converter for converting the electrical input signal to a digital input signal. The invention further relates to a method of making a critical gain measurement. The object of the present invention is to improve the signal-to-noise ratio of a signal to be measured or detected in a hearing instrument compared to prior art solutions. The problem is solved in that a matched filter receiving said analogue or digital input signal and optimized to improve the identification of the information signal part from the noisy input signal. An advantage of the invention is that it provides an alternative scheme for improving signal to noise ratio of a hearing aid. The invention may e.g. be used for the customization of hearing aid parameters in cooperation with fitting software and/or for improving signal to noise ratio of a detected or measured signal.