Wireless receivers process signals that bear information as well as disturbances caused by the transmitter/receiver circuits and channel impairments such as fading, interference, and additive white gaussian noise (AWGN). This paper reports an overview of existing as well as presenting new carrier acquisition and tracking systems that are used in modern satellite and personal communication receivers. In particular algorithms that acquire and track the carrier frequency in the absence of symbol timing or a data preamble sequence. The objective is to investigate these algorithms. Then verify their applicability and performance in realistic situations such as wireless hand held cellular and satellite TDMA receivers. The performance evaluation of the algorithms is conducted through simulations and theoretical analysis.