1. An apparatus for computing filter coefficients for an adaptive filter for filtering a microphone signal captured by a microphone so as to suppress an echo due to a loudspeaker signal output by a loudspeaker, comprising: an echo decay modeller that models a decay behavior of an acoustic environment and provides a corresponding echo decay parameter; a computing processor that computes the filter coefficients of the adaptive filter on the basis of the echo decay parameter and that determines an early echo removal filter and a late echo removal filter; a filter setter that determines the filter coefficients of the adaptive filter by determining a linear combination of filter coefficients of the early echo removal filter and the late echo removal filter.