A low-frequency gaussian white-noise generator†

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Abstract
The various methods of generating low-frequency noise are discussed. The merits of using a binary random signal, particularly the binary random square wave, as a noise source are considered, The advantages of applying the binary random signal to a low-pass filter to produce white gaussian noise are pointed out. A general method of designing filters which compensate for the fall in spectral response of the binary signal over the pass-band is described. Also, a theoretical method of determining the amplitude probability distribution of the filter output is described. The equations derived are solved for the case of third-order filters. Experimental and theoretical characteristics are given for the case of a noise generator using a third-order filter.

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