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A new adaptive architecture: Analogue synthesiser of orthogonal functions

机译:一种新的自适应体系结构:正交函数的模拟合成器

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A new adaptive nonlinear (neural-like) architecture, an analogue synthesiser of orthogonal functions which is able to produce a plurality of mutually orthogonal signals as functions of time such as Legendre, Chebyshev and Hermite polynomials, cosine basis of functions, smoothed cosine basis, etc., is proposed. A proof-of-concept breadboard version of the analogue synthesiser is described. The device is characterised by a very fast (approximately 100 iterations) and stable process of signal synthesis. The proposed new device could find applications e.g. in analogue systems of function approximation, in particular as a main unit in an analogue implementation of so-called Chebyshev polynomial-based (CPB) neural networks, as a unit in a fast adaptive alternative to Volterra polynomial neural networks, and also as a preprocessing element (performing some transforms, filtration, etc.) in analogue neural network-based systems of information processing.
机译:一种新的自适应非线性(类神经)架构,一种正交函数的模拟合成器,能够生成多个相互正交的信号作为时间函数,例如勒让德,契比雪夫和埃尔米特多项式,函数的余弦基,平滑余弦基,等。描述了模拟合成器的概念验证面包板版本。该设备的特点是信号合成过程非常快(约100次迭代)且稳定。拟议的新设备可以找到应用,例如在函数逼近的模拟系统中,尤其是在所谓的基于Chebyshev多项式(CPB)神经网络的模拟实现中的主要单元,在Volterra多项式神经网络的快速自适应替代中的单元,以及预处理基于模拟神经网络的信息处理系统中的元素(执行一些转换,过滤等)。

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