The thesis deals with emulating higher-order elements using the transformation mutators, which were described by Leon Chua in 1971. The procedure of designing mutators from their mathematical description to the synthesis of concrete electrical circuits is described. The circuit solutions are based on the utilization of advanced circuit principles in order to achieve optimal circuit performance. Mutators are implemented as a set of eight incremental modules. Via their cascade connection, it is possible to emulate arbitrary elements from the periodical table of higher-order elements. The proposed solutions are tested by means of computer simulations and also verified by measurements.