Accession Number:

AD0735071

Title:

Central Limit Theorems for Conditionally Linear Random Processes

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CA

Personal Author(s):

• Pierre, Percy A.

Report Date:

1971-06-01

Pagination or Media Count:

30.0

Abstract:

The work reported in the paper is part of Rands broad studies of radar signal-processing methods. Models of radar clutter interference are developed which are both physically reasonable and more general than the usual Gaussian model or linear-process model. These are called conditionally linear processes. The major contribution of this paper is the development of simple conditions under which linear functionals of data generated by the model will have a Gaussian distribution. The result enables the computation of detection probabilities and false alarms for linear signal detectors.

Descriptors:

• *INFORMATION THEORY
• *RADAR SIGNALS
• RANDOM VARIABLES
• INTEGRALS
• WHITE NOISE
• STATISTICAL PROCESSES
• DISTRIBUTION FUNCTIONS
• LOW PASS FILTERS
• RADAR CLUTTER
• ASYMPTOTIC SERIES
• CONVERGENCE
• STATISTICAL ANALYSIS

Subject Categories:

• Cybernetics
• Active and Passive Radar Detection and Equipment

Distribution Statement:

APPROVED FOR PUBLIC RELEASE