The Rake receiver based on digital matched filter(DMF) is studied extensively in order to investigate the performance of the PN code acquisition.By using the state transition diagram,the authors derive the analytic expressions of the mean acquisition time of the Rake receiver based on DMF over frequency-selective channel.Numerical analysis is also given.It is shown that the proposed Rake receiver based on DMF can accelerate the process of PN code acquisition.Because there are many resolved multipath components over frequency-selective channel,the detection probability of Rake receiver is larger than the conventional receiver.If more fingers of Rake receiver are available,then the mean acquisition time is longer and the threshold of detector can be set more widely.