I. Introduction
In wavelength division multiplexing (WDM) networks, wavelength cross-connect (WXC) [1]–[8] is an important device which provides the switching functionality of connections between its inputs and outputs. Basically, a WXC consists of two types of main elements: space switching elements (SSEs) and wavelength converters (WCs). SSEs are capable of connecting input ports to the required output ports without performing any wavelength converting on input signals [9]. WCs are usually employed to relax the wavelength continuity constraint and hence improve the blocking performance of the networks [10]. As the number of wavelengths per fiber increases, the numbers of both SSEs and WCs of a WXC grow rapidly. Thus, to reduce the hardware complexity of WXC architecture is a large challenge [11].