It is discussed how high order transfer map8 generated using dift'erential algebraic methods can be used for symplectic tracking. Contrary to the usual tracking. the map approach makes it possible to study the specific properties of the system with as few approximations ..desired without prohibitive extra eft'ort. For example, the full Hamiltonian can be used. and the elementa can be treated wi...

A new multiuser detector (MUD) exploiting the MAP algorithm is proposed for channels affected by severe multipath and is then suitable for Time-Division Duplexing (TDD) CDMA receivers. After coherent combining the received multipaths, a multidimensional MAP nonlinearity is employed to compute step-by-step the A Posteriori Probabilities (APPs) of the transmitted data for each user separately and...

Abstract In a recent paper, Liu, Qu and Yao uncovered energies in the spectrum of period doubling Hamiltonian whose trace map iterations go to infinity, contrast with our results.

Error modelling has played a major role in generating post-corrections of analogue to digital converters (ADC). Benefits by using parametric models for post-correction are that they requires less memory and that they are easier to identify for arbitrary signals. However, the parameters are estimated in two steps; firstly, the integral nonlinearity (INL) is estimated and secondly, the model para...

Practical realizations of the optimum closed loop structure for coherent demodulation of QPSK signals demands the approximation of the hyperbolic tangent nonlinearity (Tanh) with simpler and more easily implementable functions. This paper compares the commonly considered approximations to this nonlinearity and the practical structures which result, with an alternative in which the hyperbolic ta...

this paper studies the perturbed klein-gordon equation by the aid of several methods of integrability. there are six forms of nonlinearity that are considered in this paper. the parameter domains are thus identified.

We study the behaviour of the Standard map critical function in a neighbourhood of a fixed resonance, that is the scaling law at the fixed resonance. We prove that for the fundamental resonance the scaling law is linear. We show numerical evidence that for the other resonances p/q, q ≥ 2, p 6= 0 and p and q relatively prime, the scaling law follows a power–law with exponent 1/q.

Abstract This paper addresses the following question of neural network identifiability: Does input–output map realized by a feed-forward with respect to given nonlinearity uniquely specify architecture, weights, and biases? The existing literature on subject (Sussman in Neural Netw 5(4):589–593, 1992; Albertini et al. Artificial networks for speech vision, 1993; Fefferman Rev Mat Iberoam 10(3):...

Although integral and differential nonlinearity may not be the most important parameters for high-speed, high dynamic performance data converters, they gain significance when it comes to highresolution imaging applications. The following application note serves as a refresher course for their definitions and details two different, yet commonly used techniques to measure INL and DNL in highspeed...

Takens’ time delay embedding theorem is shown to hold for finitedimensional subsets of infinite-dimensional spaces, thereby generalising previous results which were only valid for subsets of finite-dimensional spaces: Let X be a subset of a Hilbert space with upper box-counting dimension d and ‘thickness exponent’ τ , which is invariant under a Lipschitz map Φ. Suppose that E , the set of all f...