The Parametric Approximation

Author(s):  
V. I. Shalashilin ◽  
E. B. Kuznetsov
Author(s):  
Sarah Saeed ◽  
Ijaz Mansoor Qureshi ◽  
Abdul Basit ◽  
Ayesha Salman ◽  
Waseem Khan

Null steering has been a challenge in radar communications for the past few decades. In this paper, a novel cognitive null steering technique in frequency diverse array radars using frequency offset selection is presented. The proposed system is a complete implementable framework that provides precise and deep null placement in the range and angle locations of the interference source. The proposed system is cognitive such that the transmitter and receiver are connected via a feedback loop. System extracts interference source location parameters from the radar scene using Multiple Signal Classification, a super resolution direction of arrival estimation technique. Neural networks known for minimum computation time, and good non-linear and non-parametric approximation have been utilized for prediction of next location of the interference source. Simulation results validate the proposed frequency offset selection by demonstrating precise and deep nulls at the desired locations.


2012 ◽  
Vol 19 (7) ◽  
pp. 415-418 ◽  
Author(s):  
Luz Garcia ◽  
Carmen Benítez Ortuzar ◽  
Angel De la Torre ◽  
Jose C. Segura

2020 ◽  
Vol 210 ◽  
pp. 04008
Author(s):  
Sergey Mitrofanov ◽  
Nikolay Novikov ◽  
Vasily Nikitin ◽  
Sergey Belykh

The article presents the results of studies on parametric approximation in spaces R2 (functions of one variable), R3 (functions of two variables) and Rn(n>3) (functions of three or more variables). Various classes of functions satisfying a priori conditions were studied: f(0, 0, 0)=0, $\mathop {\lim 1}\limits_{{x_i} \to + \infty } \,\,({x_1},\, \ldots ,\,{x_n}) = {c_i}$, ci = cont. Working algorithms and C/C++ software functioning in Microsoft Visual Studio 2019 system in Microsoft Windows 10 environment were developed. The main studies of the authors were aimed at developing effective computational algorithms for constructing approximating functions of two variables from various given classes of three-dimensional data samples (three-dimensional interconnected time series). The article provides a detailed description of the problem statement, introduces classes of approximating functions, provides algorithms for estimating the parameters of approximating functions and a description of the software. The estimation algorithm considered in the article is constructed according to the scheme of the coordinate descent method with optimization of the step length (Gauss-Seidel method).


Respuestas ◽  
2018 ◽  
Vol 23 (2) ◽  
pp. 53-61
Author(s):  
David Luviano Cruz ◽  
Francesco José García Luna ◽  
Luis Asunción Pérez Domínguez

This paper presents a hybrid control proposal for multi-agent systems, where the advantages of the reinforcement learning and nonparametric functions are exploited. A modified version of the Q-learning algorithm is used which will provide data training for a Kernel, this approach will provide a sub optimal set of actions to be used by the agents. The proposed algorithm is experimentally tested in a path generation task in an unknown environment for mobile robots.


1979 ◽  
Vol 34 (2) ◽  
pp. 126-133
Author(s):  
L. Merten ◽  
J. Wenk

Abstract Even in the most simple case of cubic piezoelectric crystals with only one polariton branch the problem of coupling of polariton, Stokes and anti-Stokes waves in the parametric approximation leads to six coupled waves, each consisting of a polariton component, a Stokes component and an anti-Stokes component. The dispersion of all six coupled waves can be described by explicit formulae in very good approximation. The shift of the dispersion curves of the coupled waves against the dispersion curves of the uncoupled waves is proportional to the square of the amplitude of the pump wave


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