Classification Error of Gaussian and Transformed Gaussian Variates

Author

John E. Boyd

Document Type

Thesis - Open Access

Award Date

1971

Degree Name

Master of Science (MS)

Department / School

Electrical Engineering

Abstract

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

Communication
Error functions
Transformations (Mathematics)

Format

application/pdf

Number of Pages

113

Publisher

South Dakota State University

Recommended Citation

Boyd, John E., "Classification Error of Gaussian and Transformed Gaussian Variates" (1971). Electronic Theses and Dissertations. 3690.
https://openprairie.sdstate.edu/etd/3690