SUMMARYA new systematic method for designing Sinh‐Domain filters is introduced in this paper. This is achieved by employing an appropriate set of complementary operators, in order to transpose the conventional functional block diagram representation of each linear operation to the corresponding one into the Sinh‐Domain. The proposed method offers the benefits of facilitating the design procedure of high‐order Sinh‐Domain filters and of the absence of any restriction concerning the type and/or the order of the realized filter function. As an example, a third‐order Sinh‐Domain leapfrog filter is designed by employing the proposed set of operators. Two possible realizations are given and their performance has been evaluated and compared through simulation results. Copyright © 2011 John Wiley & Sons, Ltd.