Uniquely Decodable Code-Division Via Augmented Sylvester-Hadamard Matrices

Provided by: State Street Corporation
Topic: Mobility
Format: PDF
The authors 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. Their 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, they 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.

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