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Titlebook: Hadamard Matrix Analysis and Synthesis; With Applications to R. K. Rao Yarlagadda,John E. Hershey Book 1997 Springer Science+Business Media

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Kronecker Matrix Algebra,his short chapter we define the essential elements of this algebra and state, without proof, some useful theorems. There are a number of excellent references on Kronecker matrix algebra. The one we draw from is Regalia and Mitra (1989).
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Use of the 1-D Hadamard Transform in the Computation of a 2-D Hadamard Transform,al column vectors. The 2-D Hadamard transform is given by . where .. and .. are 2. × 2. and 2. × 2. Hadamard matrices. Since . may not necessarily be equal to ., we will use superscripts (.) and (.) to denote the columns ... and ...in .. and .. respectively.
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The Hadamard Transform and Error-Correction Coding,ted from .. created by augmenting .. with its inverse, ie, — .. and subsequently changing the ones to zeros and the minus ones to ones. The set of 2. 2.-bit words forms a code which has minimum distance 2.. They remark that this forms a first order Reed-Muller code..
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Composite Sequences,is attempting to synchronize two identical generators which produce long periodic sequences. This problem crops up in some types of direct sequence spread spectrum communications as well as distance measuring systems.
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al column vectors. The 2-D Hadamard transform is given by . where .. and .. are 2. × 2. and 2. × 2. Hadamard matrices. Since . may not necessarily be equal to ., we will use superscripts (.) and (.) to denote the columns ... and ...in .. and .. respectively.
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