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Construction of orthogonal and nearly orthogonal latin hypercube designs from orthogonal designs
Statistica Sinica, 2012Latin hypercube designs (LHDs), widely used for computer experiments, are a very large class of designs with desirable properties. Recently, a number of methods have been proposed to construct orthogonal LHDs. In this paper, we in- troduce an approach to constructing 2 r -order orthogonal designs. The methods are simple and easy to implement.
Jinyu Yang, Min-Qian Liu
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Construction of symmetric orthogonal designs with deep Q-network and orthogonal complementary design
Computational Statistics & Data Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianfa Lai +3 more
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Adjusted Orthogonality in Nonorthogonal Designs
Biometrika, 1977SUMMARY The concept of orthogonality of experimental designs and the factors of a design has been discussed by numerous authors and defined in a variety of ways which in general are equivalent. The analysis of experimental designs is simplified by the property of orthogonality.
Eccleston, J. A., Russell, K. G.
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Orthogonal Partitions in Designed Experiments
Designs, Codes and Cryptography, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Orthogonal Designs with Zero Diagonal
Canadian Journal of Mathematics, 1976Definition 1. An orthogonal design of order n and type (si, … , si) (st positive integers) on the commuting variables x1, … , xl is an n X n matrix X with entries chosen from ﹛0, ±x1, … , ±xl﹜ such ...
Geramita, A. V., Verner, J. H.
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Orthogonal orthogonal overcomplete kernel design for sparse representation
2012 8th International Symposium on Communication Systems, Networks & Digital Signal Processing (CSNDSP), 2012This paper proposes an optimal orthogonal overcomplete kernel design for sparse representation such that the sum of the L 1 norms of a set of transformed vectors is minimized. When there is only one training vector in the set, both the optimal transformed vector and the optimal orthogonal kernel are derived analytically.
Zhijing Yang +4 more
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Space-time diversity using orthogonal and amicable orthogonal designs
2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2001We consider the utilization of multiple transmitter and receiver antennas for space-time diversity. The optimal SNR scheme, which also provides the best diversity, is outlined. This scheme however involves a reduction in the data rate. Coding schemes are then presented which not only achieve the optimal SNR but also mitigate the reduction of data rate.
Girish Ganesan, Petre Stoica
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Novel construction methods of quaternion orthogonal designs based on complex orthogonal designs
2017 IEEE International Symposium on Information Theory (ISIT), 2017Quaternion orthogonal designs (QODs) are considered the foundation of orthogonal space time polarization block codes (OSTPBCs). OSTPBCs benefit from orthogonal polarizations and orthogonal space and time block coding simultaneously to enhance the capacity of wireless communication systems. To exploit these advantages of OSTPBCs, this paper explores two
Erum Mushtaq +2 more
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Orthogonal Latin hypercube designs from generalized orthogonal designs
Journal of Statistical Planning and Inference, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Orthogonal designs with maximal rates
IEEE Transactions on Information Theory, 2003Orthogonal designs have been used as space-time block codes for wireless communications with multiple transmit antennas, which can achieve full transmit diversity and have a very simple decoupled maximum-likelihood decoding algorithm. The rate of an orthogonal design is defined as the ratio of the number of transmitted information symbols in a block of
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