Most of the academic work within the area of mobile terminal receiver design is either focusing on the radio (high-frequency) part or the digital signal processing (low-frequency) part. The interface between these parts are in many sense assumed ideal. However, in practical mobile terminal receiver design the radio design often has to be taken into account in the digital signal processing. In this seminar I will discuss how the digital signal processing is affected when using a very cost efficient radio achitecture, a direct conversion receiver. Such a receiver architecture is used in many GSM terminals of today. A direct conversion receiver give rise to a number of impairments, where the DC-offset is the dominant one. A theoretical analysis is shown in this seminar giving a design rule, which applies to the design of digital DC-compensation in radio receivers. Furher, a method for enhancing the radio channel estimation in the direct conversion receiver case, based on the statistical properties of the pilot sequence transmitted from the base station is also presented. The seminar, is mainly based on two papers, "BER performance analysis of a direct conversion receiver", IEEE Transactions on Communications, May 2002, (Bengt Lindoff and Peter Malm), and "Enhanced DC estimation via sequence-specific frequency offset", Vehicular Technology Conference September 2002 (Dennis Hui, Kambiz Zangi and Bengt Lindoff)