Single-carrier frequency division multiple access with Discrete Cosine Transform Type-I

We present a novel single-carrier frequency division multiple access transceiver based on Discrete Cosine Transform Type-I (DCT1). We show the kind of redundancy (as prefix and suffix) that must be appended into each data symbol to be transmitted, and also the symmetry to be imposed on the channel impulse response, so that the channel matrix is diagonalized. Moreover, we show how the channel equalization can be carried out by means of a bank of scalars obtained through the DCT1 of a filter-right-half derived from the symmetric channel impulse response. This study is completed with several computer simulations.