The robustness of a subspace generalized likelihood ratio test (GLRT) detector to signal mismatch is addressed for data conforming to the generalized multivariate analysis of variance model. This model assumes a deterministic signal of known form in the presence of unknown, colored, Gaussian noise. The subspace GLRT compresses data into a lower-dimensional subspace prior to detection. It is sho...

In previous work, the statistical characteristics of the background or the noise under H0 hypothesis are similar as that under H1 hypothesis. Accordingly, the parameters under both hypotheses are estimated by the maximum likelihood method and finally a generalized likelihood ratio test based detector is developed, such as the matched subspace detector. Unfortunately, this kind of statistical si...

In this paper, we study the optimal detection of QAM signaling with channel estimation error. Optimal detectors, Maximum Likelihood (MaxLike) detector and a Modified Minimum Distance (ModDist) detector, are derived for the case of a known Gaussian channel distribution and unknown channel distribution, respectively. These detectors differ from the traditional minimum distance detector which igno...

We present an algorithm for the detection of extra-solar planets by occultation on the satellite COROT. Under high flux assumption, the signal is modeled as an autoregressive process having equal mean and variance. A transit of a planet in front of a star will produce an abrupt jump in the mean/variance of the process. The Neyman-Pearson detector is derived when the abrupt change parameters are...

With its weatherand illumination-independent characteristics, synthetic aperture radar (SAR) has become an important tool for change detection. There are two critical steps in SAR image change detection: designing a change detector and choosing a decision rule. Given a measure from a change detector, the change detection results could be sensitive to the decision rule, such as the selection of ...

Summary The classical likelihood ratio test based on the asymptotic chi-squared distribution of log-likelihood is one fundamental tools statistical inference. A recent universal approach sample splitting provides valid hypothesis tests and confidence sets in any setting for which we can compute split statistic, or, more generally, an upper bound null maximum likelihood. finite samples without r...

The method of maximum likelihood (ML), introduced by Fisher (1921), is widely used in human and quantitative genetics and we draw upon this approach throughout the book, especially in Chapters 13–16 (mixture distributions) and 26–27 (variance component estimation). Weir (1996) gives a useful introduction with genetic applications, while Kendall and Stuart (1979) and Edwards (1992) provide more ...

We present three Detector/Estimators (DEs) which allow multiuser detection and parameter estimation without a side channel in a dynamic asynchronous CDMA system in which users are entering and leaving the system. These DEs optimally detect a new user given only the chip rate and the spreading factor of the new user. Two of these DEs, the Maximum Likelihood Detector/Estimator (MLDE) and Generali...