Method for efficient storage and transmission of the centroids o

Coded data generation or conversion – Digital code to digital code converters

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341 87, 341107, H03M 700

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active

060845341

ABSTRACT:
A method of lattice quantizing a 24-long data point to minimize storage requirements by acquiring the data point, multiplying each coordinate of the data point by the square root of 8 to form an inflated data point, finding the closest point of the inflated Leech lattice by any method, creating a signal packet, and transmitting the packet to a receiver. The receiver receives the signal packet, recovers the inflated lattice point with the aid of a table of 89 of the 4096 codewords of the extended Golay code, replaces each one in the inflated lattice point by the reciprocal of the square root of 8 of the same polarity, replaces each 2 in the inflated lattice point by 2 divided by the square root of 8 of the same polarity, replaces each 3 in the inflated lattice point by 3 divided by the square root of 8 of the same polarity, replaces each 4 in the inflated lattice point by 4 divided by the square root of 8 of the same polarity, and replaces each 5 in the inflated lattice point by 5 divided by the square root of 8 of the same polarity in order to recover the data point.

REFERENCES:
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Vardy, Alexander & Be'ery Yair, Maximum Likelihood Decoding of the Leech Lattice, IEEE Transactions on Information Theory, vol. 39, No. 4, Jul. 1993.
Vardy, Alexander & Be'ery, Yair, More Efficient Soft Decoding of the Golay Codes, IEEE Transactions on Information Theory, vol. 37, No. 3, May 1991.

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