Accession Number:

AD0265554

Title:

OPTIMIZATION OF SOME NOISY NONLINEAR SYSTEMS

Descriptive Note:

Corporate Author:

MICHIGAN UNIV ANN ARBOR INST OF SCIENCE AND TECHNOLOGY

Personal Author(s):

• HARGER,ROBERT O.

Report Date:

1961-10-01

Pagination or Media Count:

1.0

Abstract:

The presence of noisy nonlinearities in the transmission of signals in a system whose function is either signal recovery estimation or signal detection is considered. The system is composed of a nonlinear operator followed inseparably by an additive stochastic noise source and interspersed between two linear timeinvariant filters. For the estimation function, two types of signal are considered a sinusoidal signal of random phase and a more general stochastic signal of second-order stationarity. For the sinusoidal case, it is shown that infinite prefilter gain is optimum for v-th-law and error function type devices, while for the stochastic case, specification of the optimum postfilter is derived with the same result for prefilter gain. For the detection function, a narrowband signal of known form is assumed. The postfilter gain is determined by matched-filter theory, and it is shown that prefilter gain should be infinite, though the conditions are relatively restrictive for the results. Author

Descriptors:

• *NOISE
• *NONLINEAR SYSTEMS
• BANDPASS FILTERS
• COMMUNICATION AND RADIO SYSTEMS
• DETECTORS
• HALF WAVE RECTIFIERS
• INTEGRAL TRANSFORMS
• REAL VARIABLES
• SIGNALS
• TRANSFORMATIONS(MATHEMATICS)
• WAVE PROPAGATION

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE