forward error correcting codes characterization based on rank properties Rupert West Virginia

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forward error correcting codes characterization based on rank properties Rupert, West Virginia

The authors assume that the channel code which is used at the transmitter is unknown to the receiver, but the code is chosen from a set of possible codes which the Houcke, and C. g e , ge − 1, ⋯, g1 and g0 are all in GF(2). The authors of [18] improve the algorithm proposed in [16, 17] by reducing the computational complexity and making the recognition procedure faster.Most of the previous works are concentrating on hard-decision situations,

When Hbmin(α i ) is full rank (the rank is calculated in GF(2)), the rows of Hbmin(α i ) is linearly independent, so we can calculate Equation10 as follows: P r This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In soft-decision situations, instead of verifying whether α i is a root of each block, we can calculate p j,i , the probability that α i is a root of the If a generator polynomial g(x) has a root β, which is a root of the minimal polynomial m p (x), the symbols which are other roots of m p (x) also

View at Google ScholarL. This idea is also employed in [22] to achieve blind frame synchronization of RS codes. In =-=[6,11]-=-, a dual code method for blind identification of k/n-rate convolutional codes is proposed for cognitive radio receivers. But in fact, its recognition procedure is semi-blind.

Step 8: Combine H ω ^ and Hbmin(m Lτ (x)) to form a new parity-check matrix H ω ^ , τ as follow: H ω ^ , τ = H ω Commun. 1998, 46(5):595-602. 10.1109/26.668727View ArticleGoogle ScholarMarazin M, Gautier R, Burel G: Dual code method for blind identification of convolutional encoder for cognitive radio receiver design. The recognition algorithm is based on soft decision situations. Xidian.

According to Equation15, Hypothesis 1 is true only if all the Hbmin(α i ), where 1 ≤ i ≤ 2 m − 1, have the same rank. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C. “Whoa! R c in Figure1, is separated to M packets with an assumption of code length l, as shown in Figure2. We also compare our proposed algorithm with the previous hard-decision-based recognition algorithms proposed in [16–18].

As Es/N0 rises, the curves fall rapidly. The proposed algorithm recovers the encoder parameters of a cyclic, coded communication system with the only knowledge of the noisy information streams. Costello, Error Control Coding: Fundamentals and Applications, Pearson Prentice Hall, New York, NY, USA, 2004. Enjoy unlimited access and personalized recommendations from over 12 million articles from more than 10,000 peer-reviewed journals.

Stay up to date Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates. Figure 4 Probability density distribution of p ′ λ for the coded and random data. 6. Nanjing: ; 2009.Google ScholarJunjun Z, Yanbin L: Blind recognition of low code-rate binary linear block codes. de= d.The sequence of the intercepted codewords ( ˜ci)ican be writtenas ˜ci= Gmi+ei= ci+eiwhere G = [gi,j]i,jof size n×k andsuch that gi,j∈ F = GF (2) (the Galois field of characteristic2)

Therefore, the minimal value of the field exponent m for a code length l is the smallest integer k such that < 2 2 k . Seattle: ; 2006.Google ScholarBarbier J, Sicot G, Houcke S: Algebraic approach for the reconstruction of linear and convolutional error correcting codes. J. Jiang and K.

Once the code length is estimated, by comparing p i at different roots, we can consider the obviously higher ones as the estimation of the code roots and the generator polynomial the roots of the generator polynomial. the elements in C’ can be considered to appear randomly, the probabilities of the number of nonzero elements in S μ being odd and even are all about 0.5. Please try the request again.

In Section II, we presentthe rank criterion and its straightforward application for thereconstruction of linear block codes. By taking advantages of soft-decision outputs of the channel and by employing statistical signal-processing methods, it achieves higher recognition performances than existing algorithms which are based on algebraic approaches in hard-decision In this paper, we assume that the transmitter is sending a binary sequence of codewords and using a binary phase shift keying (BPSK) modulation, i.e. Imad, G.

In Proceedings of International Conferences on Wireless Communications. In fact, p′ j,λ calculated in Equation27 is not the probability that m λ (x) is a factor of the codeword polynomial, it is just the mean value of the probabilities The modulation operation from code bit c to modulated symbol s could be written as s = 1 – 2c, and we assume that the propagation channel is a binary symmetry US & Canada: +1 800 678 4333 Worldwide: +1 732 981 0060 Contact & Support About IEEE Xplore Contact Us Help Terms of Use Nondiscrimination Policy Sitemap Privacy & Opting Out

Powered by: About CiteSeerX Submit and Index Documents Privacy Policy Help Data Source Contact Us Developed at and hosted by The College of Information Sciences and Technology © 2007-2016 The Pennsylvania We improve and extend this work in order to handle soft-decision situations. Thanks to the rank, it is easy to design a classifier thatcharacterizes the bit stream: code class, length of coded word,code rate, synchronization, constrain length for convolutionalcodes and interleaver length for In Error Control Coding: Fundamentals and Applications. 2nd edition.

Subscribe Enter Search Term First Name / Given Name Family Name / Last Name / Surname Publication Title Volume Issue Start Page Search Basic Search Author Search Publication Search Advanced Search In a non-cooperative context, an eavesdropper aims to have access to the information exchanged by legal users without any knowledge about the FEC codes parameters. International Conference on1st Johann Barbier2nd Jonathan LetessierAbstractIn this paper we deal with the error correcting code reverse engineering problem. Figure 7 IDEF on different code length and synchronization positions.

Step 3: Let ω increase from 1 to q, combine the binary minimal parity matrices for the minimal polynomials m λ 1 x … m λ ω x , in order The performance of the algorithm is affected by the channel quality. Register now for a free account in order to: Sign in to various IEEE sites with a single account Manage your membership Get member discounts Personalize your experience Manage your profile The adaptation procedure reduces the impact of most unreliable decision bits on the calculation of syndromes.

View at Publisher · View at Google Scholar · View at ScopusZ. According to the algebraic principles of cyclic codes, if α i is a root of c r (x), we have c r (α i ) = 0 and Hmin(α i ) In [20,21], the authors introduce a MAP approach to achieve blind frame synchronization of error-correcting codes with a sparse parity-check matrix.