Cover: Some simple examples of singular detection of continuous signals in noise.

Some simple examples of singular detection of continuous signals in noise.

Published 1961

by Ivan Selin

Purchase Print Copy

 Format Price
Add to Cart Paperback7 pages $15.00

A discussion of the assumption--concerning the statistical detection of continuous signals in noise--that the boundedness of the expected value of the likelihood ratio is both a necessary and sufficient condition that the detection be nonsingular. The necessity of this condition is shown, but examples are given to demonstrate that the condition is insufficient unless the additional requirement is also imposed that the noise process be regular. In particular, processes with band-limited or exponential spectra are singular and should be avoided as models of background noise.

This report is part of the RAND paper series. The paper was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.