In recent years, single-carrier system has again become an interesting and complementary alternative to multi-carrier system such as orthogonal frequency division multiplexing (OFDM). This has been largely due to the use of frequency domain equalizer implemented by means of fast Fourier transforms (FFT), bringing the complexity close to that of OFDM. This paper aims at providing an overview of single-carrier frequency domain equalization (SC-FDE) and its Wireless applications. We review the brief history and system model of SC-FDE, and the integration of SC-FDE and other wireless transmission techniques. We also present several possible future research topics about SC-FDE.