In the paper a usual block design with treatment effects fixed and block effects random is considered. To compare experimental design the asymptotic covariance matrix of a robust estimator proposed by Bednarski and Zontek (1996) for simultaneous estimation of shift and scale parameters is used. Asymptotically Aand Doptimal block designs in the class of designs with bounded block sizes are chara...

In digital communications, orthogonal pulse shapes are often used to represent message symbols for transmission through a channel. The design of such pulse shapes is formulated as a convex semidefinite programming problem, from which a globally optimal pulse shape can be efficiently found using interior point methods. The formulation is used to design filters which achieve the minimal bandwidth...

Optical Orthogonal codes; design analysis and applications – p. 1/33

Square COD (complex orthogonal design) with size [n, n, k] is an n×n matrix Oz, where each entry is a complex linear combination of zi and their conjugations z∗ i , i = 1, . . . , k, such that O H z Oz = (|z1| 2 + . . . + |zk| 2)In. Closely following the work of Hottinen and Tirkkonen, which proved an upper bound of k/n by making a crucial observation between square COD and group representation...

The local search with orthogonal design of experiment in its neighborhood determination (ODLS) outperforms the local search with the conventional neighborhood when the objective function includes noise. This models practical optimization problems that contains uncontrolled or unobserved variables. ODLS is robust and e cient since it shares all evaluations for direction determination of each var...