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article · IEEE Transactions on Information Theory · 2011

Signal Codes: Convolutional Lattice Codes

Ofir Shalvi, Naftali Sommer, Meir Feder

Cited by 45Abstract and details only

Abstract

The coded modulation scheme proposed in this paper has a simple construction: an integer sequence, representing the information, is convolved with a fixed, continuous-valued, finite impulse response (FIR) filter to generate the codeword - a lattice point. Due to power constraints, the code construction includes a shaping mechanism inspired by precoding techniques such as the Tomlinson-Harashima filter. We naturally term these codes “convolutional lattice codes” or alternatively “signal codes” due to the signal processing interpretation of the code construction. Surprisingly, properly chosen short FIR filters can generate good codes with large minimal distance. Decoding can be done efficiently by sequential decoding or for better performance by bidirectional sequential decoding. Error analysis and simulation results indicate that for the additive white Gaussian noise (AWGN) channel, convolutional lattice codes with computationally reasonable decoders can achieve low error rate close to the channel capacity.

Cite this paper

APA 7

Shalvi, O., Sommer, N., & Feder, M. (2011). Signal Codes: Convolutional Lattice Codes. IEEE Transactions on Information Theory, 57(8), 5203–5226. https://doi.org/10.1109/tit.2011.2158876

MLA 9

Shalvi, Ofir, et al. “Signal Codes: Convolutional Lattice Codes.” IEEE Transactions on Information Theory, vol. 57, no. 8, 2011, pp. 5203–26, https://doi.org/10.1109/tit.2011.2158876.

Chicago

Shalvi, Ofir, Naftali Sommer, and Meir Feder. 2011. “Signal Codes: Convolutional Lattice Codes.” IEEE Transactions on Information Theory 57 (8): 5203–26. https://doi.org/10.1109/tit.2011.2158876.

Harvard

Shalvi, O., Sommer, N. and Feder, M. (2011) ‘Signal Codes: Convolutional Lattice Codes’, IEEE Transactions on Information Theory, 57(8), pp. 5203–5226. Available at: https://doi.org/10.1109/tit.2011.2158876.

BibTeX
@article{shalvi2011signal,
  title = {{Signal Codes: Convolutional Lattice Codes}},
  author = {Shalvi, Ofir and Sommer, Naftali and Feder, Meir},
  journal = {IEEE Transactions on Information Theory},
  volume = {57},
  number = {8},
  pages = {5203--5226},
  year = {2011},
  doi = {10.1109/tit.2011.2158876}
}

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