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Learning and auditory scene analysis in gradient frequency nonlinear oscillator networks
Learning and auditory scene analysis in gradient frequency nonlinear oscillator networks
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机译：梯度频率非线性振荡器网络中的学习和听觉场景分析
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摘要
A method for mimicking the auditory system's response to rhythm of an input signal having a time varying structure comprising the steps of receiving a time varying input signal x(t) to a network of n nonlinear oscillators, each oscillator having a different natural frequency of oscillation and obeying a dynamical equation of the form r . = r ( alpha + beta 1 z 2 + epsilon beta 2 z 4 1 - epsilon z 2 ) + c x ( t ) cos - r epsilon epsilon r 2 - 2 epsilon r cos + 1 . = omega + delta 1 r 2 + epsilon delta 2 r 4 1 - epsilon r 2 - c x ( t ) sin ( ) epsilon r 2 - 2 epsilon r cos ( ) + 1 omega . = - k x ( t ) sin epsilon r 2 - 2 epsilon r cos + 1 wherein omega represents the response frequency, r is the amplitude of the oscillator and phi is the phase of the oscillator. Generating at least one frequency output from said network useful for describing said varying structure.
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机译：一种模拟听觉系统对具有时变结构的输入信号的节奏的响应的方法，该方法包括以下步骤：将时变输入信号x（t）接收到n个非线性振荡器的网络中，每个振荡器具有不同的固有振荡频率并服从形式为r的动力学方程。 = r（alpha + beta 1z2 + epsilonbeta 2z4 1-epsilonz2）+ cx（t）cos-repsilon epsilon 2 r 2-2epsilonrcos+1。 =ω+增量1 r 2 + epsilonΔ2 r 4 1-epsilon r 2-cx（t）sin（）epsilonεr 2-2εεr r cos（）+ 1Ω。 =-kx（t）sinepsilonr 2-2epsiloncos+ 1其中，omega代表响应频率，r是振荡器的振幅，phi是振荡器的相位。产生来自所述网络的至少一个频率输出，用于描述所述变化结构。
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