Bit-interleaved turbo-coded modulation using shaping coding

Goff, S.Y. Le; Sharif, B.S.; Jimaa, Shihab

doi:10.1109/lcomm.2005.03003

Cited by 21 publications

(17 citation statements)

References 6 publications

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“…This can be combined with the use of multiple interleavers and multiplexing [63], which would allow P C k (u) = 1/2. Examples of how to construct a BICM scheme where nonuniform input symbol distributions are obtained include the "shaping encoder" of [64], [65] and the nonuniform signaling scheme based on a Huffman code of [66].…”

Section: Bicm With Arbitrary Input Distributionsmentioning

confidence: 99%

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Optimal Alphabets and Binary Labelings for BICM at Low SNR

Agrell

Alvarado

2011

IEEE Trans. Inform. Theory

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Abstract-Optimal binary labelings, input distributions, and input alphabets are analyzed for the so-called bit-interleaved coded modulation (BICM) capacity, paying special attention to the low signal-to-noise ratio (SNR) regime. For 8-ary pulse amplitude modulation (PAM) and for 0.75 bit/symbol, the folded binary code results in a higher capacity than the binary reflected Gray code (BRGC) and the natural binary code (NBC). The 1 dB gap between the additive white Gaussian noise (AWGN) capacity and the BICM capacity with the BRGC can be almost completely removed if the input symbol distribution is properly selected. First-order asymptotics of the BICM capacity for arbitrary input alphabets and distributions, dimensions, mean, variance, and binary labeling are developed. These asymptotics are used to define first-order optimal (FOO) constellations for BICM, i.e., constellations that make BICM achieve the Shannon limit −1.59 dB. It is shown that the E b /N0 required for reliable transmission at asymptotically low rates in BICM can be as high as infinity, that for uniform input distributions and 8-PAM there are only 72 classes of binary labelings with a different firstorder asymptotic behavior, and that this number is reduced to only 26 for 8-ary phase shift keying (PSK). A general answer to the question of FOO constellations for BICM is also given: using the Hadamard transform, it is found that for uniform input distributions, a constellation for BICM is FOO if and only if it is a linear projection of a hypercube. A constellation based on PAM or quadrature amplitude modulation input alphabets is FOO if and only if they are labeled by the NBC; if the constellation is based on PSK input alphabets instead, it can never be FOO if the input alphabet has more than four points, regardless of the labeling.

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Section: Bicm With Arbitrary Input Distributionsmentioning

confidence: 99%

“…Together, (66), (67), (68), and (69) (64). To this end, we apply an arbitrary row permutation to the V matrix, whose first column is given by (64).…”

Section: Appendixmentioning

confidence: 99%

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Optimal Alphabets and Binary Labelings for BICM at Low SNR

Agrell

Alvarado

2011

IEEE Trans. Inform. Theory

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“…In the context of BICM, constellation shaping techniques again attracted a considerable amount of attention in the 2000s. GS was investigated for BICM in [ 29 , 30 , 31 ], and PS was studied in [ 32 , 33 , 34 , 35 ]. An iterative demapping and decoding architecture with PS was proposed in [ 36 ].…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Shaping for Finite Blocklengths: Distribution Matching and Sphere Shaping

Gültekin

Fehenberger

Alvarado

et al. 2020

Entropy

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In this paper, we provide a systematic comparison of distribution matching (DM) and sphere shaping (SpSh) algorithms for short blocklength probabilistic amplitude shaping. For asymptotically large blocklengths, constant composition distribution matching (CCDM) is known to generate the target capacity-achieving distribution. However, as the blocklength decreases, the resulting rate loss diminishes the efficiency of CCDM. We claim that for such short blocklengths over the additive white Gaussian noise (AWGN) channel, the objective of shaping should be reformulated as obtaining the most energy-efficient signal space for a given rate (rather than matching distributions). In light of this interpretation, multiset-partition DM (MPDM) and SpSh are reviewed as energy-efficient shaping techniques. Numerical results show that both have smaller rate losses than CCDM. SpSh—whose sole objective is to maximize the energy efficiency—is shown to have the minimum rate loss amongst all, which is particularly apparent for ultra short blocklengths. We provide simulation results of the end-to-end decoding performance showing that up to 1 dB improvement in power efficiency over uniform signaling can be obtained with MPDM and SpSh at blocklengths around 200. Finally, we present a discussion on the complexity of these algorithms from the perspectives of latency, storage and computations.

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“…However, efficiently indexing the shells is a difficult work. In [17], shaping code was employed in bitinterleaved coded modulation (BICM) system, in which a one-to-one shaping code was proposed. Nevertheless, only limited gains are acquired.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of Spectral Efficiency and Power Budget in WDN-PON Employing LDPC-Coded Probabilistic Shaping PAM8

Zhou

Zhang

et al. 2020

IEEE Access

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A 5 × 60 Gb/s low-density parity-check (LDPC) coded WDM-PON using 8-level pulse amplitude modulation (PAM8) signals with probabilistic shaping (PS) over 20-km standard single-mode fiber (SSMF) with direct detection is proposed and experimentally demonstrated. Each optical carrier at the optical line terminal (OLT) carries a 20-Gbaud probabilistically-shaped LDPC-coded PS-PAM8 signal from a conventional uniform PAM16 signal following a designed approximate Gaussian distribution (AGD). A LDPC-based bit-interleaved coded modulation scheme with iterative decoding (BICM-ID) is utilized to recover the inherently overlapped symbols due to the proposed PS mapping. Combining decision-directed least-mean-squares (DD-LMS) and constant modulus algorithm (CMA), a blind feedback pre-equalizer is adopted to reduce the frequency loss of the signal owing to imperfect electro-optical components in experiment. As for experimental verification and application, 1.48-dB superior receiver power sensitivity and 1.7-dB launch fiber power optimization are gained respectively by using LDPC-coded PS-PAM8 signals in WDM-PON, which can bring higher spectral efficiency and power loss budget for the optical distribution networks.

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Bit-interleaved turbo-coded modulation using shaping coding

Cited by 21 publications

References 6 publications

Optimal Alphabets and Binary Labelings for BICM at Low SNR

Optimal Alphabets and Binary Labelings for BICM at Low SNR

Probabilistic Shaping for Finite Blocklengths: Distribution Matching and Sphere Shaping

Enhancement of Spectral Efficiency and Power Budget in WDN-PON Employing LDPC-Coded Probabilistic Shaping PAM8

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