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List decoding

About: List decoding is a research topic. Over the lifetime, 7251 publications have been published within this topic receiving 151182 citations.


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Proceedings ArticleDOI
TL;DR: It is demonstrated that systematic network codes equipped with the proposed algorithm are good candidates for progressive packet recovery owing to their overall decoding delay characteristics.
Abstract: We consider binary systematic network codes and investigate their capability of decoding a source message either in full or in part. We carry out a probability analysis, derive closed-form expressions for the decoding probability and show that systematic network coding outperforms conventional network coding. We also develop an algorithm based on Gaussian elimination that allows progressive decoding of source packets. Simulation results show that the proposed decoding algorithm can achieve the theoretical optimal performance. Furthermore, we demonstrate that systematic network codes equipped with the proposed algorithm are good candidates for progressive packet recovery owing to their overall decoding delay characteristics.

35 citations

Proceedings ArticleDOI
24 May 2015
TL;DR: Simulation results show that a stochastic SC decoder can achieve similar error-correcting performance as its deterministic counterpart, which can pave the way for future hardware design of Stochastic polar codes decoders.
Abstract: Polar codes have emerged as the most favorable channel codes for their unique capacity-achieving property. To date, numerous approaches for efficient decoding of polar codes have been reported. However, these prior efforts focused on design of polar decoders via deterministic computation, while the behavior of stochastic polar decoder, which can have potential advantages such as low complexity and strong error-resilience, has not been studied in existing literatures. This paper, for the first time, investigates polar decoding using stochastic logic. Specifically, the commonly-used successive cancellation (SC) algorithm is reformulated into the stochastic form. Several methods that can potentially improve decoding performance are discussed and analyzed. Simulation results show that a stochastic SC decoder can achieve similar error-correcting performance as its deterministic counterpart. This work can pave the way for future hardware design of stochastic polar codes decoders.

35 citations

Journal ArticleDOI
TL;DR: This paper presents binary phase codes and corresponding decoding filters which are optimal in the sense that they produce no sidelobes and they maximise the signal-to-noise ratio (SNR henceforth).
Abstract: . This paper presents binary phase codes and corresponding decoding filters which are optimal in the sense that they produce no sidelobes and they maximise the signal-to-noise ratio (SNR henceforth). The search is made by investigating all possible binary phase codes with a given length. After selecting the code, the first step is to find a filter which produces no sidelobes. This is possible for all codes with no zeros in the frequency domain, and it turns out that most codes satisfy this requirement. An example of a code which cannot be decoded in this way is a code with a single phase, i.e. a long pulse. The second step is to investigate the SNR performance of the codes. Then the optimal code of a given length is the one with the highest SNR at the filter output. All codes with lengths of 3–25 bits were studied, which means investigating 33554428 binary phase codes. It turns out that all Barker codes except the 11-bit code are optimal in the above sense. It is well known that the performance of matched-filter decoding of Barker codes is better than decoding without sidelobes. In the case of the 7-bit Barker code, it is shown here that the SNR given by sidelobe-free decoding is nearly 30% worse than that of standard decoding, but for the 13-bit code sidelobe-free decoding is only about 5% worse. The deterioration of SNR should be evaluated against the benefits gained in disposing of the sidelobes, which, even for the 13-bit code, contribute by 7.1% to the total signal power from a homogeneous target. Thus, regions of weak scattering can be contaminated by the sidelobes from neighbouring layers of strong scattering, causing broadening of thin spatial structures and giving a lower spatial resolution than implied by the bit length. A practical example is shown where sidelobes mask a weak signal when the standard matched filter is used in the analysis. An improvement is achieved when sidelobe-free filtering is carried out. Key words. Radio science (ionospheric physics; signal processing; instruments and techniques)

35 citations

Proceedings ArticleDOI
28 Apr 2003
TL;DR: It is shown that by employing this technique both encoding and decoding operations become significantly faster, and the memory consumption also becomes much smaller compared to the normal Huffman coding/decoding.
Abstract: A new Huffman coding and decoding technique is presented. There is no need to construct a full size Huffman table in this technique; instead, the symbols are encoded directly from the table of code-lengths. For decoding purposes a new Condensed Huffman Table (CHT) is also introduced. It is shown that by employing this technique both encoding and decoding operations become significantly faster, and the memory consumption also becomes much smaller compared to the normal Huffman coding/decoding.

35 citations

Journal ArticleDOI
TL;DR: This letter introduces a new technique for designing and decoding Huffman codes that is smaller than the ordinary Huffman table and which leads to fast decoding.
Abstract: This letter introduces a new technique for designing and decoding Huffman codes. The key idea is to define a condensed Huffman table (CHT) that is smaller than the ordinary Huffman table and which leads to fast decoding. For example, the new approach has been shown to reduce the memory consumption by a factor of eight, compared with the single-side grown Huffman table.

35 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202384
2022153
202179
202078
201982
201894