Generalized Likelihood Ratio Test for Detection of Gaussian Rank-One Signals in Gaussian Noise With Unknown Statistics

Improving the generalized likelihood ratio test for unknown linear Gaussian channels

In this work, we consider the decoding problem for unknown Gaussian linear channels. Important examples of linear channels are the intersymbol interference (ISI) channel and the diversity channel with multiple transmit and receive antennas employing space–time codes (STC). An important class of decoders is based on the generalized likelihood ratio test (GLRT). Our work deals primarily with a de...

Modified signed log-likelihood test for the coefficient of variation of an inverse Gaussian population

In this paper, we consider the problem of two sided hypothesis testing for the parameter of coefficient of variation of an inverse Gaussian population. An approach used here is the modified signed log-likelihood ratio (MSLR) method which is the modification of traditional signed log-likelihood ratio test. Previous works show that this proposed method has third-order accuracy whereas the traditi...

Parameter estimation: known vector signals in unknown Gaussian noise

Abstract This paper develops recursive, convergent estimators for the parameters of finite Gaussian mixtures with a common covariance matrix. The mean vectors (signals) of the component densities are assumed to be known. The motivation for the study stems from digital communication. The basic approach is first illustrated for the case of an independent identically distributed sequence of sample...

Intensity statistics of random signals in Gaussian noise.

The intensity statistics of random signals in the presence of Gaussian noise is obtained by considering the model of a random signal plus a random phasor sum. The additive Gaussian noise is shown to result in a Bessel transform of the probability density of signal intensity. The transformation of the intensity statistics can generally be applied to mixtures of independent random signals, one of...

Generalized Likelihood Ratio Statistics