The examination of correlated noise

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Abstract
In a recent theory of dielectric response of solids and liquids proposed by two of the authors a new form for the time development of correlated dipolar fluctuations was developed. This fluctuation process is examined here in terms of electrical noise and shown to lead to the commonly observed power response with frequency of the form 1/falpha , with alpha =2(1-m), where m is the correlation coefficient for the fluctuations. It is shown that the frequency range in which the 1/falpha response can be observed is limited and the statistics of measurement in the presence of the noise fluctuations is examined.