Accession Number : ADA292294

Title :   Statistical Studies of the Monopulse Ratio.

Descriptive Note : Technical rept.,

Corporate Author : NAVAL SURFACE WARFARE CENTER DAHLGREN DIV VA

Personal Author(s) : Groves, Gordon W. ; Blair, William D.

PDF Url : ADA292294

Report Date : OCT 1994

Pagination or Media Count : 68

Abstract : The complex sum and difference phasers in a monopulse system provide four real quantities that are subject to random errors because of noise. Consequently, the monopulse ratio (MR), which depends on these four measured quantities, is a stochastic variable. The joint distribution of the real and imaginary parts of the MR is obtained for several cases under the assumption that the primary variables have a four-variate Gaussian distribution. The marginal distribution for the real part of the MR, or its mean, is presented in a few simple cases. Three noise models are discussed. The first assumes the noise to be uncorrelated and isotropic. The second allows real-to-real and imaginary-to-imaginary correlation between the sum and difference phasers. The third treats a general noise covariance matrix. The variance of the MR is known to be infinite. However, density distributions with finite variance are obtained if a threshold is placed on the magnitude of the sum phaser, discarding cases lying below the threshold. The resulting variance is developed for two simple cases where the primary mean values are zero. The dependence of the joint MR density on threshold is studied. (AN)

Descriptors :   *SIGNAL TO NOISE RATIO, *ANALYSIS OF VARIANCE, *MONOPULSE RADAR, STOCHASTIC PROCESSES, THRESHOLD EFFECTS, MULTIVARIATE ANALYSIS, MATRICES(MATHEMATICS), RADAR TRACKING, MONTE CARLO METHOD, PROBABILITY DENSITY FUNCTIONS, VARIATIONS, CORRELATION, CRUISE MISSILES, ANTISHIP MISSILES, ERRORS, COVARIANCE, RADAR SIGNALS, STATISTICAL PROCESSES, TARGET POSITION INDICATORS, NOISE(RADAR), COMPLEX VARIABLES.

Subject Categories : Active & Passive Radar Detection & Equipment
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE