Journal ArticleDOI
A new multilevel coding method using error-correcting codes
Hideki Imai,S. Hirakawa +1 more
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A new multilevel coding method that uses several error-correcting codes that makes effective use of soft-decisions to improve the performance of decoding and is superior to other multileVEL coding systems.Abstract:
A new multilevel coding method that uses several error-correcting codes is proposed. The transmission symbols are constructed by combining symbols of codewords of these codes. Usually, these codes are binary error-correcting codes and have different error-correcting capabilities. For various channels, efficient systems can be obtained by choosing these codes appropriately. Encoding and decoding procedures for this method are relatively simple compared with those of other multilevel coding methods. In addition, this method makes effective use of soft-decisions to improve the performance of decoding. The decoding error probability is analyzed for multiphase modulation, and numerical comparisons to other multilevel coding systems are made. When equally complex systems are compared, the new system is superior to other multilevel coding systems.read more
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References
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Journal ArticleDOI
Convolutional Codes and Their Performance in Communication Systems
TL;DR: This tutorial paper begins with an elementary presentation of the fundamental properties and structure of convolutional codes and proceeds with the development of the maximum likelihood decoder, which yields for arbitrary codes both the distance properties and upper bounds on the bit error probability.
Journal ArticleDOI
Short convolutional codes with maximal free distance for rates 1/2, 1/3, and 1/4 (Corresp.)
TL;DR: In this paper, the authors gave a tabulation of binary convolutional codes with maximum free distance for rates of 1/2, 1/3, and 1/4 for all constraint lengths up to and including nu = 14.
Journal ArticleDOI
Short binary convolutional codes with maximal free distance for rates 2/3 and 3/4 (Corresp.)
TL;DR: In this paper, a search procedure was developed to find good short binary (N,N - 1) convolutional codes using simple rules to discard from the complete ensemble of codes a large fraction whose free distance d{free} either cannot achieve the maximum value or is equal to d_{free} of some code in the remaining set.
Journal ArticleDOI
Correction of errors in multilevel Gray coded data
TL;DR: Certain classes of low-rate binary codes that have simple decoding algorithms can be used as underlying codes in the construction of high-rate easily decodable i -compressed codes, which have higher rates than binary codes of comparable length and number of correctable errors.