US Patent 7710857 Coherent detection for differentially encoded OFDM systems

A method and system for coherent detection in which an OFDM symbol is multiplied by the complex conjugate of the previous OFDM symbol, which is obtained by one OFDM symbol delay and a complex conjugation circuit. This soft decision is passed through a QPSK slicer to obtain a hard decision. The soft decision is then divided by the hard decisions. The channel phase change between the two OFDM symbols is then obtained. For the first OFDM symbol, the channel is computed. A channel estimate for each ODFM symbol is computed from corresponding channel estimates and channel phase difference estimates. The channel phase difference between each two OFDM symbols is computed. The channel phase difference is passed through an exponent operation and multiplied by the soft decision to obtain a refined soft decision that is then passed through another QPSK slicer to obtain the final hard decision.