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The spectral density of the Barkhausen noise has been measured and a theoretical interpretation of the results is given. It is assumed that the single pulse is exponential with a time constant of the order of 10−4 second. Then the computed spectral density is constant up to 1 kcps, and then decreases exponentially. This behavior is only slightly dependent on the shape of the pulse. The theoretical conclusions are in good agreement with experimental data taken on iron, nickel, and ferroxcube specimens. The usual model introduced to explain the mechanism giving rise to the noise leads to the conclusion that the intensity of the spectrum is proportional to the frequency of the magnetizing current. This conclusion is not experimentally verified because of the extreme simplifications involved in the model itself.

This paper considers two approaches by which the Preisach distribution function may be obtained from experimental hysteresis curves, and then compares the results of these approaches with Bate's experimental results. The first method, based upon the assumption that φ(a,b) = φ1(a)·φ2(b), was proposed by the authors in 1958. The second method is valid under other assumptions, and requires simple computations only. The comparison shows good agreement between the two methods, and with experimental data.

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