We analyze the achievable rate of the superposition of block Markov encoding (decode-and-forward) and side information encoding (compress-and-forward) for the three-node Gaussian relay channel. It is generally believed that the superposition can out perform decode-and-forward or compress-and-forward due to its generality. We prove that within the class of Gaussian distributions, this is not the...

Grading the refractive index period of a rugate is a technique for depositing broad band reflectors using rugate technology. The principle advantage of this technique is the ability to deposit long and short pass reflectors in parallel with other rugate spectral features and thus generate complex performance in a single optical film. Variation of the amplitude of the index profile as the period...

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We analyze special random network models – so-called thickened trees – which are constructed by random trees where the nodes are replaced by local clusters. These objects serve as model for random real world networks. It is shown that under a symmetry condition for the cluster sets a local-global principle for the degree distribution holds: the degrees given locally through the choice of the cl...

Superposition is a mapping on point configurations that sends the n-tuple (x1, . . . , xn) ∈ X into the n-point configuration {x1, . . . , xn} ⊂ X , counted with multiplicity. It is an additive set operation such the superposition of a k-point configuration in X is a kn-point configuration in X . A Poisson superposition process is the superposition in X of a Poisson process in the space of fini...

According to Penrose, the fundamental conflict between the superposition principle of quantum mechanics and the principle of general covariance of general relativity entails the existence of wavefunction collapse, e.g. a quantum superposition of two different space-time geometries will collapse to one of them due to the ill-definedness of the time-translation operator for the superposition. In ...

This paper describes an architecture based on superimposed distributed representations and distributed associative memories which is capable of performing rule chaining. The use of a distributed representation allows the system to utilise memory efficiently, and the use of superposition reduces the time complexity of a tree search to O(d), where d is the depth of the tree. Our experimental resu...

Asynchronous transfer mode (ATM) traffic emulators have been designed for demonstrating the performance of various protocols and services in ATM networks under user-defined traffic conditions. Analytical tools and traffic measurements show that specific traffic conditions can be emulated by using the superposition of various stochastic processes. This paper presents a generic method for impleme...

We consider the evolution of small amplitude, long wavelength initial data by a polyatomic Fermi–Pasta–Ulam lattice differential equation whose material properties vary periodically. Using the methods of homogenization theory, we prove rigorous estimates that show that the solution breaks up into the linear superposition of two appropriately scaled and modulated counterpropagating waves, each o...