RT Journal Article ID 47deb9515ca1dd8b A1 Golikov, Victor A1 Lebedeva, Olga A1 Orta, Jose Luis T1 The Application of the Permutation Filters for Adaptive Digital Quadratic Detector JF Telecommunications and Radio Engineering JO TRE YR 2001 FD 2007-03-19 VO 56 IS 4&5 OP 6 AB This paper proposes a method to reduce the computational complexity of the optimal digital quadratic detector, which is the optimal Neyman-Pearson detector for detecting a colored Gaussian random target signal against colored Gaussian distributed noise. The covariance matrices of the colored noise are unknown. We also presents fully adaptive detector and it exhibits an acceptable loss with respect to previously proposed adaptive detector. This detector has been constructed by replacing the covariant matrices on the appropriate block-circulant matrices in the likelihood ratio for example dyadic matrices. The performance comparison between the classical adaptive approach and the adaptive approach proposed by the authors carried out in terms of probability of detection as a function of the signal to noise ratio for a fixed probability of false alarm and in term of computational complexity. PB Begell House LK https://www.dl.begellhouse.com/journals/0632a9d54950b268,422345a314832522,47deb9515ca1dd8b.html