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Parameters of the Signal: Their Non-Locality vs. Averaging Character

机译:信号参数:它们的非局部性与平均特性

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摘要

A parameter of the signal segment is regarded as a measurand here. In a set of parameters the support of which consists of more than one element, a sub-set of averaging parameters is defined as those being reflexive, symmetric, bisymmetric, increasing monotonic, cancellable and continuous. These attributes, previously defined for discrete operations (B. Ellis, J. Pfanzagl), are in Section 3 reformulated for functional operations projecting signal segments into real numbers. Their meanings are explained and examples are given. Then, in Section 4, it is analysed to what degree these theoretical attributes are achieved in three kinds of circuits: in a low pass RC filter, in an integrator, and in a sample-and-hold circuit (S/H). The coefficient (12) was proposed for the evaluation of the circuit's ability to provide a symmetric parameter. This attribute, although possessed by the integrator almost perfectly, is not achievable in the filter and S/H circuit. Thus the quasi-instant parameters provided by the S/H cannot be considered as averaged. The period of an effective influence of the input signal on the output voltage, and the delay introduced by the S/H circuit, are defined.
机译:信号段的参数在这里被认为是被测量的。在一组支持多个元素的参数中,平均参数的子集定义为自反,对称,双对称,单调递增,可取消和连续的参数。这些属性,先前为离散操作(B. Ellis,J. Pfanzagl)定义,在第3节中针对将信号段投影为实数的功能操作进行了重新格式。解释其含义并给出示例。然后,在第4节中,分析了在三种电路中实现这些理论属性的程度:低通RC滤波器,积分器和采样保持电路(S / H)。建议使用系数(12)来评估电路提供对称参数的能力。尽管积分器几乎完美地拥有了该属性,但在滤波器和S / H电路中却无法实现。因此,S / H提供的准即时参数不能视为平均。定义了输入信号对输出电压的有效影响的周期以及由S / H电路引入的延迟。

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