Multipath components of a signal transmitted through a time-varying digital radio channel are received with individual delays (.tau.) within a range (.tau..sub.1 . . . .tau..sub.M) of possible delay values. The individual delays are estimated and a delay profile (g(.tau..sub.i)) calculated repetitively. The method comprises searching repetitively for new multipath components in a search window constituting a subset of the possible delays, and positioning the search window based on a previous delay profile (g(.tau..sub.i)). For each of a number of search window positions (k) a sum of power is determined for the multipath components located in the search window with that position, and the position of the search window is selected based on the determined sums of power. In this way the multipath detection is less influenced by the noise floor, and it is also effective for channels having a wide delay spread and/or significantly time-varying delay profiles.