Wavelength division multiplexing (WDM) is a very important technique to utilize the bandwidth of optical fiber. At different network nodes, it's requires to add or drop wavelength. The wavelength converter, responsible for converting the wavelength of signal, to another wavelength up or down from the original value. This paper presents a proposed model to generate inverted and non-inverted wavelength conversion by using single wide band traveling wave semiconductor optical amplifier (WBSOA), based on cross gain modulation (XGM). The investigation of conversion efficiency (η) and quality factor (Q) , versus pump power ranging from -30 dBm to 0 dBm, and input signal power of 0 dBm with data rate 25 Gb/s, studies for up and down wavelength conversion co-propagation and counter-propagation respectively, along c-band. All simulations in this study are performed by optisystem ver. 7.