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- W2103010606 abstract "We consider the problem of designing binary antipodal uniquely decodable (errorless) code sets for overloaded code-division multiplexing applications where the number of signals K is larger than the code length L. Our proposed errorless code set design aims at identifying the maximum number of columns that can be potentially appended to a Sylvester-Hadamard matrix of order L, while maintaining the errorless code property. In particular, we derive formally the maximum number of columns that may be appended to the Sylvester-Hadamard matrix of order L = 8 and use this result as a seed to produce an infinite sequence of designs in increasing L. In the noiseless transmission case, a simple algorithm is developed to uniquely decode all signals. In additive white Gaussian noise (AWGN), a slab-sphere decoding scheme can be utilized for efficient and effective decoding." @default.
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- W2103010606 date "2012-04-01" @default.
- W2103010606 modified "2023-09-25" @default.
- W2103010606 title "Uniquely decodable code-division via augmented Sylvester-Hadamard matrices" @default.
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- W2103010606 doi "https://doi.org/10.1109/wcnc.2012.6214390" @default.
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