We present some key advanced signal processing methodologies that have been developed in recent years for interference suppression in wireless networks. We will focus primarily on the problem of jointly suppressing multiple-access interference (MAI) and inter-symbol interference (ISI), which are the limiting sources of interference for the high data-rate wireless systems being proposed for many emerging application areas, such as wireless multimedia.We first present a signal subspace approach to blind joint suppression of MA1 and ISI. We then discuss a powerful iterative technique for joint interference suppression and decoding, so-called turbo multiuser detection that is especially useful for wireless multimedia packet communications. We also discuss space-time processing methods, which employ multiple antennas for interference rejection and signal enhancement. Finally, we touch briefly on the problems of suppressing narrowband interference and impulsive ambient noise, two other sources of radio-frequency interference present in wireless multimedia networks.