Estimation of the energy spectrums of reflections in pulse doppler weather radars. Part 3. Statistical analysis of the reconstruction techniques of continuous spectrums of the reflections from meteorological objects

This is the third paper in a series of papers dedicated to the peculiarities of estimation of the continuous energy spectrums of random processes of different nature, which are determined by their samples at discrete moments of time. In the article we justify the methodology and present the quantitative results of analytical and experimental investigation and comparison of statistical characteristics of classical and “parametric” methods of energy spectrums reconstruction for interperiod fluctuations of different nature reflections (including the ones from meteorological objects) in pulse radars. The methodology is followed by quantitative results which correspond to and obtained for a real-world “adaptive” case. Under the latter, a priori unknown echoes’ covariance matrix is replaced with different-kind estimates formed from finite-size training samples. Based on the results obtained, we substantiate the spectral estimation algorithms reasonable for utilization in different-purpose radars, in particular in pulse Doppler weather ones. Discussion of efficient ways for their practical implementation on a unified basis of adaptive lattice filters concludes the paper

Recursive algorithms of adaptive lattice filters adjustment

The authors analyze the algorithms intended for correction of adaptive lattice filters (ALF) parameters under K-rank (K ≥ 1) modification of estimate correlation matrix within a "sliding" over the time (range) data window. The drawbacks of methods that correct the ALF parameters based on K-fold utilization of known algorithms of rank-one (K = 1) modification are discussed. The combined algorithm (CA) of K-rank (K ≥ 1) modification is synthesized. Under considered conditions, the only one-fold utilization of the CA solves the task of ALF parameters correction. The paper demonstrates, that proposed CA reduces the computational complexity and enhances the numerical stability of procedure of ALF parameters correction as compared with the competing methods based on algorithms of rank-one modification

Combining target detection against the background of jamming signals and jamming signal DOA estimation

In this paper we consider joint spatial processing systems for radars with phased antenna array. They combine the target detection against background of interfering signals and direction-of-arrival (DOA) estimation of their sources. We give an example of such processing system based on common adaptive lattice filters (ALF) and quantitatively assess its efficiency in radars with planar antenna array while accounting for a variety of decorrelation factors