An analytical framework for noncoherent decision feedback detection is introduced while considering nonorthogonal binary modulation (NBM) over the synchronous Gaussian K-user channel. Following the key idea of noncoherent decorrelating decision feedback detection (NC-DDFD) proposed in [1], a K-parameter class of NC-DDFDs is defined. The symmetric energy measure is defined as the worst-case (ove...

Because exoplanets are extremely dim, an electron multiplying charge-coupled device operating in photon counting (PC) mode is necessary to reduce the detector noise level and enable their detection. Typically, PC images added together as a co-added image before processing. We present signal detection estimation technique that works directly with individual images. The method based on generalize...

Distributed parameter detection is conceived for massive multiple-input multiple-output (MIMO) wireless sensor networks (WSNs), where multiple sensors collaborate to detect the presence/ absence of a spatially correlated parameter. Neyman-Pearson (NP) and generalized likelihood ratio test (GLRT)-based detectors are developed at fusion center (FC) known unknown scenarios, respectively. More expl...

In this paper, the problem of testing impropriety (i.e., second-order noncircularity) of a sequence of complexvalued random variables (RVs) based on the generalized likelihood ratio test (GLRT) for Gaussian distributions is considered. Asymptotic (w.r.t. the data length) distributions of the GLR are given under the hypothesis that RVs are proper or improper, and under the true, not necessarily ...

An optimal test does not exist for the problem of detecting a known target with unknown location in additive Gaussian noise. A common solution uses a generalised likelihood ratio testing (GLRT) formalism, where a maximum likelihood estimate of the unknown location parameter is used in a likelihood ratio test. The performance of this test is commonly assessed by comparing it to the ideal matched...

The concept of group detection is introduced to address the design of suboptimum multiuser detectors for CodeDivision Multiple-Access (CDMA) channels. A group detection scheme consists of a bank of P group detectors, one each for detecting the information symbols of users in each group of a P group partition of the li simultaneously transmitting users. In a parallel group detection scheme, thes...

This paper considers the problem of multiuser detection for a system in which each user employs nonlinear modulation, with an emphasis on noncoherent detection techniques which do not require knowledge of the users’ channel parameters at the receiver. Our goals are to gain fundamental insight into the capabilities of multiuser detection in such a setting, and to provide practical algorithms tha...

The generalized likelihood ratio test (GLRT) for a stochastic partially homogeneous model is proposed for adaptive signal detection. The stochastic partially homogeneous model generalizes the standard partially homogeneous model by treating the disturbance covariance matrix as a random matrix. Specifically, it assumes that, R, the disturbance covariance matrix of training signals, is a random m...

Abstract—Circular synthetic aperture radar (CSAR) is different from other usual SAR modes, e.g., Stripmap SAR or Spotlight SAR, which takes a circular path rather than a straight path. It can provide not only two-dimensional (2-D) high resolution images but also threedimensional (3-D) information about the target. In this paper, 2D CSAR imaging containing 3-D information about the target is dis...

In this paper, we explore the role of best bands algorithms in the context of maximizing the performance of hyperspectral algorithms. Specifically, we first focus on creating an intuitive framework for how metrics quantify the distance between two spectra. Focusing on the Spectral Angle Mapper (SAM) metric, we demonstrate how the separability of two spectra can be increased by choosing the band...