Application of the combinatorial models for innovative design techniques

Application of the Perfect Combinatorial Sequences Theory, namely the concept of Ideal Ring Bundles (IRBs), for improving the quality indices of engineering devices or systems based on combinatorial technique is proposed in the paper. For example, resolving ability of radar is known to be of very dependent from positioning of elements in antenna array; high-performance technology of information coding and design of communication signals with favorable correlation properties demands an optimal placement of the signals in spatially and temporally distributed systems, and other examples of technological problems relating to the optimal placement of spatially or temporally distributed systems can be cited. However, a lot of well-known engineering devices, technologies or systems with non-uniform structure are very distant from perfect fulfillment of the design with respect to performance reliability, resolving ability and the other significant operating characteristics of the system. An ordinary IRB is ring-like sequence of positive integers, which form perfect partitions of a finite interval [1,S] of integers. The sum of connected subsequences of an IRB enumerate the set of integers [1,S] exactly once. This property makes IRBs useful in applications, which need to partition sets with the smallest possible number of intersections.