The increasing demand for wireless broadband connection emerged in Worldwide Interoperability Microwave Access (WiMAX, IEEE802.16) system which is revolutionizing the broadband wireless world by providing it with a specific standard and ensures the inter-operability among different providers. In this paper, we present the sizing of the homodyne receiver, especially the analog digital converter intended for use in the WiMAX band from 3.4 GHz to 3.6 GHz in 10 MHz channel bandwidth. For such specifications, a low-pass sigma-delta modulator for analog to digital conversion is proposed that provides variable requirements of WiMAX.