Accession Number:

AD0694552

Title:

PROBABILITY DENSITY FUNCTION ESTIMATION (WITH APPLICATIONS TO RECEIVER DESIGN FOR RECEPTION IN NON-GAUSSIAN NOISE)

Descriptive Note:

Technical note

Corporate Author:

MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s):

• Evans, James E.

Report Date:

1969-08-29

Pagination or Media Count:

55.0

Abstract:

This note considers the problem of estimation of an unknown probability density function, px, and the derivative of the logarithm of that density function, fx, given N samples from an ensemble whose probability density is px. Our principle objective is to estimate fx since it has been shown that the optimal receiver for known threshold signals in additive white but possibly non-Gaussian noise consists of a filter matched to the signal preceded by a no-memory device. Although our approach is primarily motivated toward obtaining a good estimate of fx, the method and results would appear also to be applicable to finding good estimates of px. The goodness of the estimation procedure is investigated theoretically and experimentally.

Descriptors:

• *INFORMATION THEORY
• *PROBABILITY DENSITY FUNCTIONS
• NOISE(RADIO)
• RADIO RECEIVERS

Subject Categories:

• Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE