Advanced Theory of Signal Detection

Abstract

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A Novel Detection Criterion for Weak<tex>$m$</tex>-Ary Signals and Its Application to UltraWideband Multiple Access Systems

“…Here, the Cauchy, t-, and logistic pdf belong to the class of heavy-tailed pdfs (tails decaying at lower rate than those of the Gaussian pdf) and have been used frequently in the modeling of impulsive environments. In addition, the t-distribution arises naturally in sampling from a Gaussian distributed population [3]. In each case, the decision region of the proposed criterion is compared with that of the ML criterion to help us gain insight into the proposed criterion.…”

“…3) Detectors for Bivariate t-Distributed Interference: Assume the bivariate t-pdf [3], [12] f n (x, y) = 1…”

“…When the signal is vanishingly small, it is desirable to design a detector with optimum performance at low signal-to-noise ratio (SNR), for which the locally optimum (LO) criterion [1]- [3] can be used. The LO criterion is based on the generalized Neyman-Pearson lemma [2] and, given the false alarm probability, maximizes the detection probability when the signal is of small amplitude.…”

Nonparametric PN code acquisition using the signed-rank statistic for DS/CDMA systems in frequency-selective Rician fading channels

“…Here, is the initial time and is an integer. The statistics of and are if otherwise (12) and if otherwise (13) respectively, where and is the unknown phase of the desired user's th received sample. Here, and are the variances of the in-cell interference, out-of-cell interference, and AWGN components, respectively.…”

“…Based upon the generalized version of the Neyman-Pearson's fundamental lemma [11], [12], a locally optimum (LO) detector in general maximizes the slope of the power function as the signal-to-noise ratio (SNR) approaches zero. The LO detectors are specially useful when the strength of the desired signal is weak.…”