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On the minimum distance of concatenated codes and decoding based on the true minimum distance
Proceedings of IEEE International Symposium on Information Theory, 2002We show some conditions that the minimum distance of concatenated codes is beyond the lower bound. Furthermore a new decoding method is proposed up to the true minimum distance.
T. Kohnosu, T. Nishijima, S. Hirasawa
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On generalized minimum distance decoding
1989A numerical method to compute the performance probabilities of GMD decoders is proposed for binary antipodal signaling on the AWGN channel with coherent reception. Plots of the probability of decoding failure and of the bit error rate are presented for triple-error-correcting extended BCH codes of length 64 and 128.
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The Geometry of Minimum Distance
CoRR, 2023John Pawlina, Stefan O. Tohaneanu
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Journal of Statistical Planning and Inference, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hettmansperger, T. P. +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hettmansperger, T. P. +2 more
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Minimum‐distance methods based on quadratic distances for transforms
Canadian Journal of Statistics, 1987AbstractA class of minimum‐distance methods based on empirical transforms is considered. This class includes the minimum‐chi‐squared method, the K‐L method for empirical characteristic functions, and the analogous method for empirical moment generating functions.
Luong, A., Thompson, M. E.
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The rectilinear distance minisum problem with minimum distance constraints:
Location Science, 1995Summary: This paper describes a mathematical model for locating a single facility on a continuous plane, which considers transportation (or service) costs between the facility and a set of demand points as well as social costs arising from the undesirable characteristics of the facility.
Brimberg, J., Wesolowsky, G. O.
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Bounds on the minimum distance of trellis codes
IEEE Transactions on Information Theory, 1989Summary: The performance of trellis codes is determined by their minimum Euclidean distance. Upper bounds on this minimum distance valid for phase-shift keyed (PSK) signals are derived that improve on previously derived bounds.
Marat V. Burnashev, Ezio Biglieri
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Journal of Mathematical Sciences, 2007
In the paper, we consider the estimation problem for an unknown density on independent observations. We use the minimum distance estimation method. It is shown that the accuracy of estimation is connected with the rate of increase of the entropy of the parametrical set. Bibliography: 9 titles.
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In the paper, we consider the estimation problem for an unknown density on independent observations. We use the minimum distance estimation method. It is shown that the accuracy of estimation is connected with the rate of increase of the entropy of the parametrical set. Bibliography: 9 titles.
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Channel shaping to maximize minimum distance
IEEE Transactions on Information Theory, 1993Summary: Suppose that \(N\) inputs to a linear, time-invariant channel are designed to maximize the minimum \(L_ 2\) distance between channel outputs. It is assumed that all inputs are zero outside the finite time window \([-T,T]\) and are constrained in energy. The jointly optimal inputs and channel frequency \(H(f)\) for which the minimum distance is
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1994
We introduce a new class of estimators — minimum distance estimators — and describe their properties in regular and nonstandard situations. These estimators, in the regular case of Hilbert metrics, are consistent and asymptotically normal. In nonstandard situations, their behavior is similar to the behavior of the MLE.
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We introduce a new class of estimators — minimum distance estimators — and describe their properties in regular and nonstandard situations. These estimators, in the regular case of Hilbert metrics, are consistent and asymptotically normal. In nonstandard situations, their behavior is similar to the behavior of the MLE.
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