Method and device of frequency domain equalization

An apparatus of frequency domain equalization, the apparatus comprising:

• a communication interface for receiving a transmit signal over a channel;
• a converter for sampling the received transmit signal and generating a vector by converting the transmit signal;
• an equalizer for generating an equalization matrix by approximating a frequency domain correlation matrix, and generating an equalized vector by multiplying the equalization matrix to the sampled vector;
• an inverse converter for generating an estimate of data vector by inverse converting the equalized vector;
• and
• a detector for recovering data included in the transmit signal based on the estimate of data vector,
• wherein the equalization matrix {circumflex over (Ω)} is generated based on a frequency domain correlation matrix {circumflex over (R)} of CCI (co-channel interference) plus noise,
• wherein the equalization matrix {circumflex over (Ω)} is an MN×MN matrix defined as {circumflex over (Ω)}{circumflex over (R)}⊙(1M×M{circle around (x)}IN), where the integer M>1, the integer N>1, 1M×M is an M×M all-one matrix, and IN is an N×N diagonal matrix.