A Frequency Domain Algorithm for Wave Separation

We propose a frequency domain adaptive algorithm for<br/>wave separation in wind instruments. Forward and backward travelling waves are obtained from the signals acquired by two microphones placed along the tube, while the<br/>separation ?lter is adapted from the information given by a<br/>third microphone. Working in the frequency domain has a<br/>series of advantages, among which are the ease of design of<br/>the propagation ?lter and its differentiation with respect to<br/>its parameters.<br/>Although the adaptive algorithm was developed as a ?rst<br/>step for the estimation of playing parameters in wind instruments it can also be used, without any modi?cations, for<br/>other applications such as in-air direction of arrival (DOA)<br/>estimation. Preliminary results on these applications will<br/>also be presented.