A Theoretical Investigation of a Method for Analyzing Random Signals.
PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB
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The zero crossings of random noise can be divided into two types, corresponding to the forward and backward rotation of a complex vector whose real and imaginary parts are the noise signal and its Hilbert transform. The statistics of the two kinds of crossing are being investigated to see how well a detection system, based upon measurements of the two kinds of crossings, can determine the presence of a non random signal in a Gaussian noise environment. A formula for the probability that the vector is rotating backwards at any fixed line had previously been used. A rigorous derivation of a more general version of this formula has now been obtained.
- Non-Radio Communications