Space-time signal processing algorithms for a stochastic signal under conditions of 3D antenna motion

Abstract

The paper continues the cycle of earlier works connected with space-time signal processing (STSP) under conditions of a moving antenna [I. I. Gorban, ‘‘Optimum space-time signal processing of stochastic signal under conditions of a moving antenna,’’ Telecommun. Radio Eng. No. 12, 26–28 (1991); ‘‘Estimation of signal parameters when antenna is complicatedly moving in space,’’ Forum Acusticum, Antwerp, Belgium, 222 (1996); ‘‘Space-time signal processing algorithms for moving antennae,’’ J. Acoust. Soc. Am. 100, 2638 (1996); and others]. It is assumed that the antenna moves in three dimensions with angle rotations around the space axes, the signal is stochastic type with discrete spectrum components, the noise is Gaussian. A maximum likelihood algorithm is developed and a common estimate of space-time signal parameters is researched. It was found that the common estimate of angle and spectrum parameters depends on the level of discrete spectrum components: the estimate becomes worse with decreasing this level. Parameters of antenna motion are essentially influent on the common estimate too. Rising of the constant velocity of the motion leads to decreasing of the common estimate and rising of the variable components of the motion leads to increasing it.