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Measures for Tracing Convergence of Iterative Decoding Algorithms …

    https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.7284#:~:text=There%20is%20a%20collection%20of%20measures%20in%20the,soft-out%20decoders%20being%20part%20of%20the%20iterative%20algorithm.
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Measures for Tracing Convergence of Iterative Decoding …

    https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.7284
    There is a collection of measures in the recent literature, which trace the convergence of iterative decoding algorithms based on a single parameter. This parameter is assumed to completely describe the behavior of the soft-in soft-out decoders being part of the iterative algorithm.

Convergence Analysis of Iterative Threshold …

    https://file.scirp.org/pdf/JCC_2016112815454307.pdf
    2.2. Iterative Threshold Decoding Process The Iterative decoding process (see Figure 1) can be described as follows: In the first iteration, the decoder only uses the channel output as input, and generates extrinsic in-formation for each symbol. In subsequent iterations, a combination of extrinsic infor-mation and channel output is used as input.

Measures for Tracing Convergence of Iterative Decoding …

    https://core.ac.uk/display/21192151
    There is a collection of measures in the recent literature, which trace the convergence of iterative decoding algorithms based on a single parameter. This parameter is assumed to completely describe the behavior of the soft-in soft-out decoders being part of the iterative algorithm.

Understanding Convergence of Iterative Algorithms | MIT …

    https://www.csail.mit.edu/research/understanding-convergence-iterative-algorithms
    Proposed in the 70’s, the EM algorithm is an iterative method for maximum likelihood estimation whose behavior has vastly remained elusive. We show that it converges to the true optimum for balanced mixtures of two Gaussians by introducing another general tool for analysis of iterative algorithms which we call the sensitivity method.

Convergence Analysis of Iterative Threshold Decoding …

    https://www.scirp.org/journal/PaperInformation.aspx?PaperID=72299
    To view the convergence behavior of the iterative decoding, we draw in the same figure (see Figure 6) the exit charts of the two decoders.In the case of a symmetrical concatenated code the curve of the second decoder is obtained by inverting the symmetry axis of the I E and I A.. Figure 6 depicts the Exit chart of the concatenated code PC (74529, 36481) constructed from DSC (273, …

Convergence Analysis of Iterative Threshold Decoding …

    https://www.researchgate.net/publication/311087397_Convergence_Analysis_of_Iterative_Threshold_Decoding_Process
    PDF | Today the error correcting codes are present in all the telecom standards, in particular the low density parity check (LDPC) codes. The choice of... | Find ...

Iterative Decoding Algorithms | SpringerLink

    https://link.springer.com/chapter/10.1007/978-1-4757-2604-6_5
    The decoding operation is based on either a maximum a posteriori (MAP) algorithm or a Viterbi algorithm generating a weighted soft estimate of the input sequence. The iterative algorithm performs the information exchange between the two component decoders. The performance gain of the MAP algorithm over the Viterbi algorithm at low SNR leads to ...

LECTURE 6: CONVERGENCE OF AN ALGORITHM

    https://www.researchgate.net/profile/Akin-Oktav/post/How-to-prove-convergence-of-an-iterative-algorithm/attachment/5a03f9eb4cde2648950e8625/AS%3A558675341594624%401510209989291/download/1.pdf
    Convergence proof • Given an iterative algorithm, we need to show that, under certain conditions, the sequence of solutions generated by the algorithm indeed converges to a desired solution ...

Chapter 5 Iterative Methods for Solving Linear Systems

    https://www.cis.upenn.edu/~cis515/cis515-12-sl5.pdf
    5.2. CONVERGENCE OF ITERATIVE METHODS 393 Here is a fundamental criterion for the convergence of any iterative methods based on a matrix B,calledthematrix of the iterative method. Theorem 5.3. Given a system u = Bu+c as above, where IB is invertible, the following statements are equivalent: (1) The iterative method is convergent. (2) ⇢(B) < 1.

Convergence of Algorithms - Scientific Computing with Python

    https://caam37830.github.io/book/01_analysis/convergence.html
    lim k → ∞ ϵ k + 1 ϵ k q < C. for some constant C > 0. q = 1 and C ∈ ( 0, 1) is called linear convergence. q = 2 is called quadratic convergence. Larger values of q indicate faster convergence. Additionally, we have the following terms: q = 1 and C = 1 is called sublinear (slower than linear) convergence.

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