Critically Subsampled Filterbanks for SISO Reed–Solomon Decoding
IEEE Transactions on Signal Processing
Filterbank Decompositions for (Non)-Systematic Reed–Solomon Codes With Applications to Soft Decoding
IEEE Transactions on Signal Processing
An overview of peak-to-average power ratio reduction techniques for multicarrier transmission
IEEE Wireless Communications
Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes
IEEE Transactions on Information Theory
On the existence and construction of good codes with low peak-to-average power ratios
IEEE Transactions on Information Theory
Algebraic soft-decision decoding of Reed-Solomon codes
IEEE Transactions on Information Theory
Iterative algebraic soft-decision list decoding of Reed-Solomon codes
IEEE Journal on Selected Areas in Communications
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This paper presents a novel Reed-Solomon codes based transmission scheme called RS-SC-CP. While RS-SC-CP is essentially a Reed-Solomon (RS) coded single carrier with cyclic prefix (SC-CP) system, a filter bank representation of the RS code is used. This filter bank representation unveils a DFT synthesis bank, just as in a traditional Orthogonal Frequency Division Multiplexing (OFDM) system (allbeit in a finite field). Therefore, RS-SC-CP is topologically equivalent with OFDM. As such, the RS-SC-CP system inherits the advantages of an SC-CP system over a traditional OFDM system like a low Peak to Average Power Ratio (PAPR). But, more importantly, it allows us to use a novel equalization technique that resembles a traditional OFDM equalizer. The equalizer of an RS-SC-CP receiver is split into two stages: the first stage encompasses a partial equalization in the complex field, which ensures that the residual channel response has integer coefficients. It is calculated using a Minimum Mean Square Error (MMSE) criterion. The residual ISI is removed by a Galois field equalizer in the second stage, posterior to the RS decoding removing the noise. Finally, the performance of the RS-SC-CP system is further evaluated by simulations showing the performance gain of the RS-SC-CP system compared to a traditional coded OFDM or Single Carrier with Cyclic Prefix (SC-CP) scheme.