Hearing system configured to localize a target sound source

A method of operating a hearing system adapted to be worn by a user and configured to capture sound in an environment of the user, when said hearing system is operationally mounted on the user, the hearing system comprising sensor array of M input transducers, where M≥2, each for providing an electric input signal representing said sound in said environment, said input transducers pi, i=1, . . . , M, of said array having a geometrical configuration relative to each other, when worn by the user, the method comprising

• detecting movements over time of the hearing system when worn by the user, and providing location data of said sensor array at different points in time t, t=1, . . . , N;
• when said sound comprises sound from a localized sound source S extracting sensor array configuration specific data τij of said sensor array indicative of differences between a time of arrival of sound from said localized sound source S at said respective input transducers, at said different points in time t, t=1, . . . , from said electric input signals;
• and
• estimating data indicative of a location of said localized sound source S relative to the user based on corresponding values of said location data and said sensor array configuration specific data at said different points in time t, t=1, . . . , N.