Abstract: An aspect of present invention discloses a transceiver processing hardware (“TPH”) which is configured to process wireless information based on a constellation map. The TPH includes a minimum mean square error (“MMSE”), an inverse discrete Fourier transform (“IDFT”), and a demapper. The MMSE provides estimation of received bit stream, and the IDFT generates a list of samples associated with frequency of the bit stream. The demapper configured to discard unused constellation points includes a minimum function component (“MFC”) and a special treatment component (“STC”). While MFC is able to receive a bit stream representing a symbol corresponding to a quadrature amplitude modulation (“QAM”), the STC is configured to force one or more infinity values to facilitate generation of an LLR value representing a logic value of the symbol.