The paper addresses the optimal spectrum sensing detection based on the complete or partial side-information on the signal and noise statistics. The use of the generalized likelihood ratio test (GLRT) involves maximum likelihood (ML) estimation of the nuisances. ML estimation of the unknowns is especially challenging for wideband cognitive radio because closed-form solutions are often not avail...

In many practical detection and classi cation problems, the signals of interest exhibit some uncertain nuisance parameters, such as the unknown delay and Doppler in radar. For optimal performance, the form of such parameters must be known and exploited as is done in the generalized likelihood ratio test (GLRT). In practice, the statistics required for designing the GLRT processors are not avail...

This paper studies the detection of Least Significant Bits (LSB) steganography in digital media by using hypothesis testing theory. The main goal is threefold: first, it is aimed to design a test whose statistical properties are known, this especially allows the guaranteeing of a false alarm probability. Second, the quantization of samples is studied throughout this paper. Lastly, the use of a ...

In this paper, the problem of target detection in phased-MIMO radars is considered and target detection performance of phased-MIMO radars is compared with MIMO and phased-array radars. Phased-MIMO radars combine advantages of the MIMO and phased-array radars. In these radars, the transmit array will be partitioned into a number of subarrays that are allowed to overlap and each subarray transmit...

The problem of Gravitational Waves (GW) detection is dealt with from a signal processing perspective. Our aim is to present the two main classes of GW waveforms which are of practical relevance, and some of the open problems concerning their detection. In fact, for both of them, the classical Generalized Likelihood Ratio Test (GLRT) is not practically feasible because of the associated computat...

This paper proposes an adaptive method for detection of sparse signals generated from a Poisson distribution, motivated by the problem of preventing nuclear fuel from crossing secure borders. The procedure, termed REBEL, is based on a convex relaxation of a generalized likelihood ratio test (GLRT). The relaxed problem is solved using iterative methods. In the case of 1-sparse signals, the propo...

In this paper, we propose a feature-based method for spectrum sensing of OFDM signals from sub-Nyquist samples over a single band. We exploit the structure of the covariance matrix of OFDM signals to convert an underdetermined set of covariance-based equations to an overdetermined one. The statistical properties of sample covariance matrix are analyzed and then based on that an approximate Gene...

The uniformly most powerful invariant (UMPI) test is derived for detecting a target with unknown location in a noise sequence. This test has the property that for each possible target location it has the greatest power of all tests which are invariant to cyclic permutations of the observations. The test is compared to the generalised likelihood ratio test (GLRT), which is commonly used as a sol...

In this paper, we consider a monostatic radar and study the joint detection localization of prospective target when receiver is assisted by reconfigurable intelligent surface (RIS). To mitigate multiplicative path loss in target-RIS-radar hops, resort to an active RIS, which allows both redirecting amplifying incident signal. Upon choosing array gain factor transmitter RIS uniformly cover inspe...

We consider the detection in the presence of 1=f noise of a known transient signal of unknown amplitude, scale and delay. We introduce a generalized likelihood ratio test (GLRT) method based on pattern matching in the undec-imated discrete wavelet transform (UDWT) domain. In many cases, the computational complexity of the detector can be reduced with minimal performance impact by limiting the p...