Hadamard matrices, orthogonal designs and amicable orthogonal designs have a number of applications in coding theory, cryptography, wireless network communication and so on. Product designs were introduced by Robinson in order to construct orthogonal designs especially full orthogonal designs (no zero entries) with maximum number of variables for some orders. He constructed product designs of o...

In the field of sensitivity analysis, Sobol’ indices are widely used to assess importance inputs a model its output. Among methods that estimate these indices, replication procedure is noteworthy for efficient cost. A practical problem how many evaluations must be performed guarantee sufficient precision on estimates. The present paper tackles this issue by rendering iterative. idea enable addi...

This article considers optimal foldover plans for nonregular designs. By using the indicator function, we deŽ ne words with fractional lengths. The extended word-length pattern is then used to select among nonregular foldover designs. Some general properties of foldover designs are obtained using the indicator function. We prove that the full-foldover plan that reverses the signs of all factors...

In k 2 experimental design, the classical fractional factorial designs, the Plackett-Burman designs and the Taguchi orthogonal-array designs all require, with few exceptions, n 2 test conditions, for some k n ≤ . Tsao and Wibowo (2005) pointed out that when only m of the k 2 effects/interactions are non-zero, only m test conditions are required for their estimation. Given the identities of m pr...

This paper provides a general construction technique for rectangular matrices whose elements are quaternion variables and whose column vectors are formally orthogonal. These matrices are named quaternion orthogonal designs, in parallel with the well-known constructs of real and complex orthogonal designs. The proposed construction technique provides the first infinite family of this type of qua...

It is known that by employing space-time-frequency codes (STFCs) to frequency selective MIMO-OFDM systems, all the three diversity viz spatial, temporal and multipath can be exploited. There exists space-time-frequency block codes (STFBCs) designed using orthogonal designs with constellation precoder to get full diversity (Z.Liu, Y.Xin and G.Giannakis IEEE Trans. Signal Processing, Oct. 2002). ...

reversible logic circuits have found emerging attentions in nanotechnology,optical computing, quantum computing and low power design. a programmablelogic array (pla) is a universal circuit which is used to implement combinationallogic circuits. the main part of a pla is its and array. in this study we propose twotypes of optimized reversible programmable logic array (rpla) circuits. the firstty...