Thesis - Open Access
Master of Science (MS)
As indicated by the title and by the large proportion of pages devoted to the subject, transformation of variables is the primary topic of this thesis. The transformation of partially overlapping, correlated, two-dimensional, Gaussian distributed random variates to partially overlapping, independent, one-dimensional, Cauchy distributed random variates involves a reduction in dimensionality by one. Consequently, the equation defining the receiver is simplified, and the expressions for predicting the classification error are easier to formulate. The equation required to effect this transformation is z=Y1/Y2 , where Y1 , Y 2 are the standardized correlated Gaussian variates and z is the independent Cauchy rand om variate.
Library of Congress Subject Headings
Number of Pages
South Dakota State University
Boyd, John E., "Classification Error of Gaussian and Transformed Gaussian Variates" (1971). Electronic Theses and Dissertations. 3690.