SETTING OF AMPLITUDE WITH MATÉRN PROCESS

Nearest-Neighbor and Contact Distance Distributions for Matérn Cluster Process

In this letter, we derive the cumulative density function (CDF) of the nearest neighbor and contact distance distributions of the Matérn cluster process (MCP) in R. These results will be useful in the performance analysis of many realworld wireless networks that exhibit inter-node attraction. Using these results, we concretely demonstrate that the contact distance of the MCP stochastically domi...

Extremal versus additive Matérn point processes

In the simplest Matérn point processes, one retains certain points of a Poisson point process in such a way that no pairs of points are at distance less than a threshold. This condition can be reinterpreted as a threshold condition on an extremal shot–noise field associated with the Poisson point process. This paper is focused on the case where one retains points that satisfy a threshold condit...

Generalized Whittle-Matérn and polyharmonic kernels

Building partially entangled states with Grover’s amplitude amplification process

We discuss how to build some partially entangled states of n two-state quantum systems (qubits). The optimal partially entangled state with a high degree of symmetry is considered to be useful for overcoming a shot noise limit of Ramsey spectroscopy under some decoherence. This state is invariant under permutation of any two qubits and inversion between the ground state |0〉 and an excited state...

Economical Setting of Process Target with Multiple Markets

The determination of the target for a manufacturing process involves a complex and fiscally vital decision. This study examines a situation where a product is classified into several grades with respect to specifications of markets. It is reasonably assumed that each grade gives its price and manufacturers cannot produce every item in good grade due to uncontrollable variation of product perfor...