Theory for a wavelet analysis of electrochemical noise in the laplace space with use of two operational frequencies |
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Authors: | B M Grafov |
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Institution: | (1) Russian Academy of Sciences, Frumkin Institute of Electrochemistry, Leninskii pr. 31, 117071 Moscow, Russia |
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Abstract: | The image of a random process in the Laplace space may be viewed as resulting from use of a oneway continuous wavelet transform
with an exponential as the basic function, i.e. as resulting from the application of the Laplace wavelet. If the Laplace-wavelet
variance of an electrochemical noise allows one to determine the Laplace transform of a time-correlation function, i.e. a
factual operational spectral density of the noise, then the covariance of two Laplace waveletes of an electrochemical noise,
each of which corresponds to its own operational frequency, allows one to verify a local consistency of the initial experimental
noise data. The Laplace waveletes are applied rather widely. In fact, any stationary random process and stationary random
time sequence can be described with operational noise spectra.
Dedicated to the ninetieth anniversary of Ya.M. Kolotyrkin’s birth. |
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Keywords: | |
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