Algebraic Constructions of Space-Frequency Codes

— Recently an algebraic construction of (nt × Q) space-frequency (SF) codes over finite field Fq was proposed for use in MIMO-OFDM systems, where nt is the number of transmit antenna and Q = qnt −1 is the number of subcarriers employed in the code. One inconvenience arising from that construction is that the number of subcarriers Q can sometimes be insufficient for constructing codes of large minimum column distance. To completely eliminate this disadvantage, an alternative construction of SF codes with Q = qm − 1 is provided in this paper, whenever m is a multiple of nt. Lower bounds on the minimum rank and column distances of the proposed construction are also given. Simulation results show that the newly constructed codes provide a significant improvement in SNR compared to other SF codes available in the literature.

• Type: Conference
• Year: 2007
• Where: ICC
• Authors: Mao-Ching Chiu, Hsiao-feng Lu
• Keywords: Column Distances, Communications, ICC 2007, SF Codes, finite field Fq