2014 IEEE Information Theory Workshop (ITW 2014) 2014
DOI: 10.1109/itw.2014.6970814
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Feedback systems using non-binary LDPC codes with a limited number of transmissions

Abstract: Abstract-One advantage of incremental transmissions with feedback in point-to-point memoryless channels is a reduction in average blocklength required to approach capacity. This paper optimizes the size of each incremental transmission for nonbinary (NB) LDPC codes to maximize throughput in VLFT and two-phase VLF settings. The optimization problem uses an approximation based on the inverse-Gaussian p.d.f. of the blocklength required for successful decoding. By using the optimized incremental transmission lengt… Show more

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Cited by 10 publications
(18 citation statements)
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References 7 publications
(13 reference statements)
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“…3 shows the empirical c.c.d.f. of the instantaneous rate R S = k N S at which decoding is successful for SNR-2dB BI-AWGN of [33]. This c.c.d.f.…”
Section: B Gaussian and Reciprocal-gaussian Approximationsmentioning
confidence: 92%
See 1 more Smart Citation
“…3 shows the empirical c.c.d.f. of the instantaneous rate R S = k N S at which decoding is successful for SNR-2dB BI-AWGN of [33]. This c.c.d.f.…”
Section: B Gaussian and Reciprocal-gaussian Approximationsmentioning
confidence: 92%
“…We also introduce a new VLF system that uses a stopping criterion that incorporates a cyclic redundancy check (CRC). This new system achieves better throughput performance than the schemes of [32], [33] for the example BI-AWGN channel with an SNR of 2 dB in the blocklength regime of 150 to 600 bits. For this channel, the CRC-based VLF scheme achieves about 94% of the capacity with an unlimited number m of transmissions and about 92% of the capacity with m = 10.…”
Section: Introductionmentioning
confidence: 89%
“…Several works (e.g., [15,40]) have shown that the FER of a finite length code can be well approximated by…”
Section: Error Correctionmentioning
confidence: 99%
“…The achievable data rate (throughput) with Type-II HARQ has been upper-bounded under the assumption of unlimited single bit IR and perfect feedback [6,12] and several methods have been proposed to construct IR bits [13,14] or optimize their block lengths under a finite number of retransmissions [15,16]. However, most of these works have focused on extending idealized error correcting codes (ECC) in known channels with either infinite or single-bit feedback.…”
Section: Introductionmentioning
confidence: 99%
“…Yet, until recently, brute force searches, simulation studies, and ad-hoc schemes remained the primary means of parameter selection in terms of blocklengths and code rate for such systems, see, e.g., [8]. This situation changed when Vakilinia et al introduced a novel approach for parameter selection [9], [10]. Their proposed methodology captures the effects of the physical channel on code performance by defining an approximate empirical distribution on the probability that a rate compatible code decodes successfully at each of its available rates.…”
Section: Introductionmentioning
confidence: 99%