This paper addresses the detection problem for a signal with constant, but unknown amplitude in disturbance containing compound-Gaussian clutter plus additive white noise. Specifically, a new generalized likelihood ratio test (GLRT) is presented for the clairvoyant case. Previously developed GLRT expressions addressing the compound-Gaussian clutter problem have considered the ‘clutter only’ cas...

This paper develops a unified mathematical theory of change detection for the multi-polarization, multipass synthetic aperture radar (SAR) change detection problem. A generalized likelihood ratio test (glrt) for optimum processing of the measured data is developed; an evaluation of the performance of the optimum glrt is also given in the form of ROC curves (PD versus PFA), quantifying the benef...

Abstract—Page’s test is optimal for detecting a permanent change in distribution, in the sense that it minimizes the worst case average delay to detection given an average distance between false alarms. When used to detect transient signals, however, it in fact becomes the generalized likelihood ratio test (GLRT). Since a GLRT is in almost all cases ad hoc, Page’s test used as such cannot be sa...

The constant false alarm rate (CFAR) matched subspace detector (CFAR MSD) is the uniformly most-powerful-invariant test and the generalized likelihood ratio test (GLRT) for detecting a target signal in noise whose covariance structure is known but whose level is unknown. Recently, the CFAR adaptive subspace detector (CFAR ASD), or adaptive coherence estimator (ACE), was proposed for detecting a...

Key role in cognitive radio (CR) process play the spectrum sensing techniques which are employed by the unlicensed secondary users in order to detect the spectrum holes. It is, therefore, very important to do this with an optimal method. This inspire us to consider a Uniformly Most Powerful Invariant (UMPI) test as an optimum invariant test for the spectrum sensing problem. To this end, we deve...

In this paper several detector schemes for processing weak GPS signals in an unaided acquisition scenario are described and analyzed. Fundamental theoretical considerations based on the generalized likelihood ratio test (GLRT), as applied to GPS signal detection, are discussed. It is shown that the asymptotic version of the GLRT is equivalent to an estimator correlator (EC). For assumed determi...

In this paper, the range-spread target detection in compound Gaussian clutter with reciprocal of the square root of gamma (RSRG) texture is investigated. The RSRG distribution has been proved to be a good model for texture component of extremely heterogeneous radar clutter. Taking this compound Gaussian model as a spherically invariant random process (SIRP), the Neyman-Pearson optimal detector ...

This paper focuses on the early detection problem of multiple moving targets in statistical MIMO radar systems using TBD techniques. At first, assuming prior knowledge of the number of targets, a binary generalized likelihood ratio test (GLRT) is derived, which shows that the optimal implementation of the GLRT requires multidimensional joint search. To reduce the implementation complexity, a su...

The objective of this paper is to determine the potentialities of an optimal detection scheme within the framework of subscriber location. Using a Generalized Likelihood Ratio Test (GLRT), an improved first arriving path detector from propagation channel estimates is derived. Furthermore, an expression for false alarm probability is provided and detector performance is evaluated for different c...

Many communications and sensing applications hinge on the detection of a signal in noisy, interference-heavy environment. Signal processing theory yields techniques such as generalized likelihood ratio test (GLRT) to perform when received samples correspond linear observation model. Numerous practical exist, however, where has passed through nonlinearity, causing significant performance degrada...