Accession Number:

ADA010208

Title:

A Theoretical Investigation of a Method for Analyzing Random Signals.

Descriptive Note:

Technical memo.,

Corporate Author:

PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB

Personal Author(s):

• Rowlands,R. O.

Report Date:

1975-05-07

Pagination or Media Count:

27.0

Abstract:

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.

Descriptors:

• *SIGNAL PROCESSING
• *STATISTICAL ANALYSIS
• STOCHASTIC PROCESSES
• RANDOM VARIABLES
• HILBERT SPACE

Subject Categories:

• Cybernetics
• Non-Radio Communications

Distribution Statement:

APPROVED FOR PUBLIC RELEASE