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In this paper we deal with the problem of estimating the disturbance covariance matrix for radar signal processing applications, when a limited number of training data is present. We determine the Maximum Likelihood (ML) estimator of the covariance matrix starting from a set of secondary data, assuming a special covariance structure (i.e. the sum of a positive semidefinite matrix plus a term proportional to the identity), and a condition number upper-bound constraint. We show that the formulated constrained optimization problem falls within the class of MAXDET problems and develop an efficient procedure for its solution in closed form. Remarkably, the computational complexity of the algorithm is of the same order as the eigenvalue decomposition of the sample covariance matrix. At the analysis stage, we assess the performance of the proposed algorithm in terms of detection capability of an Adaptive Matched Filter (AMF) receiver with the proposed estimator in place of the sample covariance matrix, for a spatial processing. The results show that the AMF with the structured constrained covariance matrix estimator can achieve higher Detection Probabilities (PD), than some counterparts available in open literature. © 2012 IEEE.

In this paper, we consider the problem of knowledge-aided transmit signal and receive filter design for a point-like target embedded in a high reverberating signal dependent environment. We focus on phase-only waveforms and devise a constrained optimization procedure which sequentially improves the Signal to Interference plus Noise Ratio (SINR), forcing a similarity constraint between the transmitted signal and a known radar waveform sharing a good ambiguity function. The computational complexity of the proposed algorithm is linear with the number of iterations and polynomial with the receive filter length. At the analysis stage, the performances of the technique are assessed in the presence of a homogeneous clutter scenario.

This paper considers sidelobe blanking (SLB) system design in the presence of both homogeneous Gaussian clutter plus noise and jammer entering through the sidelobes of the antenna. A coherent SLB structure using Kelly's receiver [6] on the two channels is introduced and analyzed. Closed-form performance probabilities in the blanking and detection regions are derived and the Constant False Alarm Rate (CFAR) behavior of the architecture is remarked. Finally, several numerical simulations of the proposed SLB system with typical parameters are obtained and discussed.