The main idea is to show that the three main criteria for sequence detection, symbol detection and graph-based detection, can all be explained within the general framework. Presents a detailed analysis of statistical signal detection for digital signals transmitted over wireless communication provides a unifying framework for different signal detection algorithms, such as sequence detection, symbol detection and graph-based detection, it is important for the design of modern digital receivers operating through the mobile channel features hot topic of graph-based detection Detection Algorithm for Wireless Communications is a new contribution in connection with the current literature, with a unique focus on the detection algorithm, therefore, will prove invaluable for researchers working in academia and industry and in the field of wireless communications, as well as graduate students attending courses continued on mobile communications.