In this paper, we present a method of decomposing a highly oscillatory wave field into a sparse superposition of Gaussian beams. The goal is to extract the necessary parameters for a Gaussian beam superposition from this wave field, so that further evolution of the high frequency waves can be computed by the method of Gaussian beams. The methodology is described for R with numerical examples fo...

We examine the extent to which Gaussian relay networks can be approximated by deterministic networks, and present two results, one negative and one positive. The gap between the capacities of a Gaussian relay network and a corresponding linear deterministic network can be unbounded. The key reasons are that the linear deterministic model fails to capture the phase of received signals, and there...

Real and bounded elliptic solutions suitable for applying the KhareSukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified KadomtsevPetviashvili equation (gmKPE) and the nonlinear cubic-quintic Schrödinger equation (NLCQSE).

This paper is concerned with linear superposition systems in which all components of the superimposed signal are coded with an identical binary low-density parity-check (LDPC) code. We focus on the design of decoding and computing algorithms. The main contributions of this paper include: 1) we present three types of iterative multistage decoding/computing algorithms, which are referred to as de...

We show that a type of linear superposition principle works for several nonlinear differential equations. Using this approach, we find periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual pr...

This paper outlines a new approach to Tokyo Japanese intonation synthesis, in which the F0 contour of an utterance is generated using the superposition of multi-level phrase curves and lexical accent curves, coupled with linear alignment models which determine the precise alignment of the curves with the segmental material. We first discuss the construction of a phrase curve used to model the p...

We find new periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating solutions of nonlinear differential equations is successful as a consequence of some powerful, recen...

Abstract This work shows that chaotic signals with different power spectrum and positive Lyapunov exponents are robust to linear superposition, meaning the superposition preserves information content of source signals, even after being transmitted over non-ideal physical medium. tackles great detail how their affected when travelling through medium presents properties multi-path propagation, no...

The Knuth-Bendix ordering is usually preferred over the lexicographic path ordering in successful implementations of resolution and superposition calculi. However, it is incompatible with certain requirements of hierarchic superposition calculi, and it also does not allow non-linear definition equations to be oriented in a natural way. We present two extensions of the Knuth-Bendix ordering that...