SummaryMemristive devices are nonlinear resistors with memory. Due to the memory effect, those devices are potential candidates for self‐organizing circuits capable of learning from environmental influences in the past. The complexity of single devices with memory in combination with the required huge number of these devices in circuits including them make preinvestigations based on simulations very inefficient and time‐consuming. Flexible and real‐time capable memristive emulators, which can directly be incorporated into real circuits, can overcome this problem.In our approach, we introduce a general memristor emulator based on wave digital principles. The proposed emulator is flexible, robust, efficient, and it preserves the passivity of the real device in a digital signal‐processing sense. All these properties result in a reusable emulator, independent of a particular application. This work lists the wave digital emulations of different models from ideal to extended memristors. As an example for an extended memristor, the wave digital emulation of a double barrier memristive device is demonstrated.