Methods and apparatuses for finding, extracting and for providing of echoes with detail functions are described. In particular, an echo extraction method for extracting an echo (109, S1, max1, max2, max3, e1, e2) from an echo function (100, 500, 2900, 4900) is described. The method comprises receiving the echo function (100, 500, 2900) and decomposing the echo function in at least one detail function (D1, D2, D3, D4, D5, D6, D7, D8, D9), wherein the at least one detail function (D1, D2, D3, D4, D5, D6, D7, D8, D9) comprises a plurality of first coefficients (2902). Each of the at least one detail functions (D1, D2, D3, D4, D5, D6, D7, D8, D9) represents a different degree of detail of the echo function (100, 500, 2900), wherein the degree of detail relates to a form of a base function (700, 900, 1000, 1100, 1200, 1805, 2600, 2700, 3501, 3506). Furthermore, the method comprises eliminating at least one of the plurality of first coefficients (2902) and applying a reconstruction regulation or scheme, which depends on the form of the base function, for generating a smoothed echo function (2901). Thereafter, at least one echo (109, S1, max1, max2, max3, e1, e2) is determined from the smoothed echo function (2901).