The decision on a transmitted symbol is one of the key points in the decoding process of the received signal. The block of demapper, that is responsible for mapping of the constellation points to the binary blocks, produces either the binary data blocks or a set of metrics on its outputs. In this paper, the optimal iterative algorithm of finding the minimal set of metrics - when the data QAM symbols are coded with Grey code - is discussed. At the beginning, the description of OFDM systems and the channel influence on the data transmission in such systems are presented. Then, the main idea of finding metrics is described in detail. The obtained results are discussed and summarized in the conclusion.
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