Accession Number:

AD0743064

Title:

Operating Characteristics for Continuous Square-Law Detection in Gaussian Noise

Descriptive Note:

Technical rept.

Corporate Author:

NAVAL UNDERWATER SYSTEMS CENTER NEWPORT RI

Personal Author(s):

• Nuttal, Albert H.
• Hyde, David W.

Report Date:

1972-04-03

Pagination or Media Count:

112.0

Abstract:

The exact detection probabilities and false-alarm probabilities for continuous square-law detection of a signal in Gaussian noise are calculated, with no restrictive assumptions about the size of the observation-time-bandwidth products. Two cases are considered they are called the low-frequency LF and narrowband NB cases. In both cases, the signal has coherent and incoherent components. Results for the detection probability versus signal-to-noise ratio SN, with false-alarm probability as a parameter, are given for both the LF and NB cases for observation-time-bandwidth products equal to 2 sup n n 01 7 and for the fraction of coherent signal power equal to 0, .2, 1. For a specifed detection probability of .5 and false-alarm probabilities of 110 sup nn 118, the required SN is also plotted for the same range of time- bandwidth products and fractions of coherent signal power as above.

Descriptors:

• *INFORMATION THEORY
• STOCHASTIC PROCESSES
• DETECTION
• RANDOM VARIABLES
• LOW FREQUENCY
• NARROWBAND
• CURVE FITTING
• INTEGRAL TRANSFORMS
• SIGNAL TO NOISE RATIO
• PROBABILITY DENSITY FUNCTIONS
• STATISTICAL ANALYSIS

Subject Categories:

• Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE