The authors prove that the probability of choosing a nonlinear filter of m-sequences with optimal properties, that is, maximum period and maximum linear complexity, tends assymptotically to 1 as the linear feedback shift register length increases. Pseudorandom sequence generators have multiple applications in radar systems, simulation, error-correcting codes, spread-spectrum communication syste...

In this paper, we present a new adaptive microphone array processing algorithm for hands-free sound capture. Most traditional adaptive beamforming techniques operate solely on the basis of the direction of arrival of the desired source and are blind to any knowledge about the signal itself. In contrast, the proposed algorithm uses a nonlinear spatial filter to generate an estimate of the magnit...

Introduction: In the case that the state-space model class is nonlinear, Kalman filter and RTS smoother breaks down. Although it is always possible to linearize the nonlinear model so that Kalman filter and RTS smoother can still apply approximately, they can be not reliable. On the other hand, stochastic simulation approaches are not limited to linear model classes and can be adopted to draw s...

Four explicit finite difference schemes, including Lax-Friedrichs, Nessyahu-Tadmor, Lax-Wendroff and Lax-Wendroff with a nonlinear filter are applied to solve water hammer equations. The schemes solve the equations in a reservoir-pipe-valve with an instantaneous and gradual closure of the valve boundary. The computational results are compared with those of the method of characteristics (MOC), a...

The neural network filter architecture presented in this paper is well suited for a restricted class of nonlinear adaptive filter applications. Our filter can model systems with long time responses and it is able to learn to take into account additional parameters that influence the filter response nonlinearly. Our filter was successfully used in a biomedical application for the removal of the ...

Nonlinear filter problems arise in many applications such as communications and signal processing. Commonly used numerical simulation methods include Kalman filter method, particle filter method, etc. In this paper a novel numerical algorithm is constructed based on samples of the current state obtained by solving the state equation implicitly. Numerical experiments demonstrate that our algorit...