统计上几乎最优的非线性网络设计

O. Smith
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引用次数: 1

摘要

统计上最优的不稳定滤波器,用于从噪声和其他不希望的信号中分离期望信号,采用高增益放大器的形式,具有几个输出通道,每个输出通道计算一个信号或噪声的最佳统计度量。这些输出的总和组成一个负反馈电路。对整个系统的稳定性要求的施加与对每个组件的稳定性施加加上零位置的小修正相同。非线性分量的加入源于振幅概率分布的差异。给出了自动补偿高增益放大器输出器件动态特性不变和信噪比变化的方法。本设计所需的信息是每个信号和噪声的功率密度谱或自相关函数,以及每个信号和噪声的幅度概率分布。设计的机制非常简单,只需要传统的电路理论知识就可以完成。提出了一种新的统计最优系统哲学,它包括线性系统和非线性系统,并消除了最小化误差功率的必要性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Statistically almost optimum nonlinear network design
The statistically-optimum unstable filter to separate desired signals from noise and other undesired signals is shown to take the form of a high gain amplifier, with several output channels, each one of which computes the best statistical measure of one of the signals or the noise. The sum of these outputs comprises a negative feedback circuit. The imposition of the requirement of stability on the overall system is shown to be the same as the imposition of stability on each component plus a small correction in the zero locations. The addition of nonlinear components follows from differences in the amplitude probability distributions. The methods of automatically compensating for the unalterable dynamic characteristics of the output device, of the high gain amplifier, and for changes in the ratio of signal to noise power, are shown. The information needed for this design is the power density spectrum or autocorrelation function of each signal and noise, and the amplitude probability distribution of each. The mechanics of the design are quite simple, and can be done with only a conventional knowledge of circuit theory. A new philosophy of statistically optimum systems is formulated, which embraces both linear and nonlinear systems, and eliminates the necessity of minimizing the error power.
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