Title :
Comments on "Detector relative efficiencies in the presence of Laplace noise" by M.I. Dadi and J.R. Marks II
Author :
Aalo, Valentine A.
Author_Institution :
Dept. of Electr. Eng., Southern Illinois Univ., Carbondale, IL, USA
Abstract :
In the above-titled paper (see ibid., vol.AES-23, p.568-82, July 1987) M.I. Dadi and J.R. Marks II studied the relative efficiencies of the Neyman-Pearson optimal detector with respect to the linear and sign detectors, for the detection of a constant signal in additive Laplace noise. By applying the central limit theorem, they derived expressions for three types of asymptotic relative efficiencies (AREs). However, as noted in the above paper, the Gaussian approximation to the sign detector fails to yield the correct asymptotic efficiency. The commenter derives the correct ARE of the optimal detector with respect to the sign detector for the Laplace noise.<>
Keywords :
random noise; signal detection; Neyman-Pearson optimal detector; additive Laplace noise; asymptotic efficiency; constant signal; linear detector; relative efficiencies; sign detectors; Additive noise; Convergence; Covariance matrix; Eigenvalues and eigenfunctions; Ellipsoids; Gas detectors; Gaussian approximation; Laplace equations; Road transportation; Tail;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
