Abstract
This study presents research that supplements and extends the previous works on design of space-time fully systematic unpunctured (FSU) serial concatenation of quadratic interleaved codes (SCQICs). The requirements for efficient design of the forward error correction (FEC) codecs motivated potential information-theoretic studies for enjoying the development of low-complex system components within the FEC encoder/decoder for securing the transmission reliability. Inspired by this motivation, this study not only provides design guidelines to achieve better bit error rate performance in terms of the major design factors of FSU-SCQICs, that is, component code constraint length and trellis structure, and FEC rate, but also estimates the gain gaps of different quadratic permutation (QP) structures in two crucial untouched aspects: (i) signal-to-noise ratio-region comparison on the optimality and (ii) investigation on the structural parameters of QPs, that is, cyclic shift and primitive factor.
Highlights
One of the most important design issues concerning research studies on the space-time turbo codes (STTCs) [1] aims to improve the key performance factors that have direct determinant effect on the overall bit error rate (BER) performance
For the STTCs that enjoy cascaded systematic recursive convolutional codes (SRCCs) for yielding relatively high minimum distance, interleaver design issues are not reaching the state of maturity [2]
It has been previously shown that serial turbo-like codes employing the quadratic permutations (QPs), that is, the serial concatenation of quadratic interleaved codes (SCQICs), result in outstanding coding gains [3,4,5,6]
Summary
One of the most important design issues concerning research studies on the space-time turbo codes (STTCs) [1] aims to improve the key performance factors that have direct determinant effect on the overall bit error rate (BER) performance. It is vital to design the effective permutation arrays in regard to a waterfall-region of the BER curve and the region that exhibits a much shallower slope, that is, flare region. For the STTCs that enjoy cascaded systematic recursive convolutional codes (SRCCs) for yielding relatively high minimum distance, interleaver design issues are not reaching the state of maturity [2]. Algebraic constructions are attracting particular interest for performing the scrambling/unscrambling functions since they yield provisioning coding gain in critical regions of the BER performance curve and enable possibility of analysis and compact representation. An additional enhancement which opens the way for their practical utilisation is their considerable lower implementation complexities
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