{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T06:38:03Z","timestamp":1765607883484},"reference-count":47,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1998,3,1]],"date-time":"1998-03-01T00:00:00Z","timestamp":888710400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Signal Processing"],"published-print":{"date-parts":[[1998,3]]},"DOI":"10.1016\/s0165-1684(97)00219-3","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T16:18:19Z","timestamp":1027613899000},"page":"199-219","source":"Crossref","is-referenced-by-count":37,"title":["Applications of the empirical characteristic function to estimation and detection problems"],"prefix":"10.1016","volume":"65","author":[{"given":"Jacek","family":"Ilow","sequence":"first","affiliation":[]},{"given":"Dimitris","family":"Hatzinakos","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0165-1684(97)00219-3_BIB1","series-title":"Handbook of Mathematical Functions","author":"Abramowitz","year":"1972"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB2","doi-asserted-by":"crossref","unstructured":"S. Ambike, J. Ilow, D. Hatzinakos, Detection for binary transmission in a mixture of Gaussian noise and impulsive noise modeled as an alpha-stable process, IEEE Signal Process. Lett. 1 (3) (March 1994) 55\u201357.","DOI":"10.1109\/97.295323"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB3","unstructured":"M. Arnold, R. Iskander, A. Zoubir, Estimation of the characteristic function, Proc. IEEE Workshop on Nonlinear Signal and Image Processing, Neos, Greece, 1995, pp. 567\u2013570"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB4","doi-asserted-by":"crossref","unstructured":"A.M. Zoubir, M.J. Arnold, Testing Gaussianity with the characteristic function: The i.i.d. case, Signal Processing 53 (2\u20133) (September 1996) 245\u2013255.","DOI":"10.1016\/0165-1684(96)00089-8"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB5","doi-asserted-by":"crossref","unstructured":"L. Berry, Understanding Middleton\u2019s canonical formula for class A noise, IEEE Trans. Electromagn. Compat. EMC-23 (4) (November 1981) 337\u2013344.","DOI":"10.1109\/TEMC.1981.303965"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB6","doi-asserted-by":"crossref","unstructured":"B. Brorsen, S. Yang, Maximum likelihood estimates of symmetric stable distribution parameters, Commun. Statist. \u2013 Simulation 19 (4) (April 1990) 1459\u20131464.","DOI":"10.1080\/03610919008812928"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB7","doi-asserted-by":"crossref","unstructured":"H. Chan, Radar sea-clutter at low grazing angles, IEE Proceedings, Pt.F 137 (2) (April 1990) 102\u2013112.","DOI":"10.1049\/ip-f-2.1990.0015"},{"issue":"1","key":"10.1016\/S0165-1684(97)00219-3_BIB8","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1214\/aop\/1176994513","article-title":"Limit behavior of the empirical characteristic function","volume":"9","author":"Csorgo","year":"1981","journal-title":"Ann. Probab."},{"key":"10.1016\/S0165-1684(97)00219-3_BIB9","doi-asserted-by":"crossref","unstructured":"W. DuMouchel, Stable distributions in statistical inference: 1, J. Amer. Statist. Assoc. 68 (342) (June 1973) 469\u2013477.","DOI":"10.1080\/01621459.1973.10482458"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB10","unstructured":"P. Feigin, C. Heathcote, The empirical characteristic function and the Cramer\u2013von Mises statistics, Sankhya: Ind. J. Statist. 38 Ser. A, Pt.4 (1976) 309\u2013325."},{"key":"10.1016\/S0165-1684(97)00219-3_BIB11","series-title":"Table of Integrals, Series, and Products","author":"Gradshteyn","year":"1994"},{"issue":"2","key":"10.1016\/S0165-1684(97)00219-3_BIB12","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1093\/biomet\/64.2.255","article-title":"The integrated squared error estimation of parameters","volume":"64","author":"Heathcote","year":"1977","journal-title":"Biometrica"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB13","doi-asserted-by":"crossref","unstructured":"J. Ilow, Signal processing in alpha-stable noise environments: noise modeling, detection and estimation, Ph.D. thesis, University of Toronto, Toronto, URL: http:\/\/www.comm.toronto.edu\/\u223cilow\/ilow.html, 1996.","DOI":"10.1002\/(SICI)1099-1115(199711)11:7<555::AID-ACS452>3.0.CO;2-I"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB14","doi-asserted-by":"crossref","unstructured":"J. Ilow, D. Hatzinakos, A.N. Venetsanopoulos, Detection for binary transmission based on the empirical characteristic function, ICASSP\u201996, Atlanta, Georgia, May 1996.","DOI":"10.1109\/ICASSP.1996.547968"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB15","series-title":"Simulation and Chaotic Behavior of\u03b1-Stable Stochastic Processes","author":"Janicki","year":"1994"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB16","doi-asserted-by":"crossref","unstructured":"S. Kassam, Signal Detection in Non-Gaussian Noise, Springer, New York, 1987 (A Dowden & Culver Book).","DOI":"10.1007\/978-1-4612-3834-8"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB17","series-title":"The Advanced Theory of Statistics, Vol. 1, 4th ed.","author":"Kendall","year":"1963"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB18","doi-asserted-by":"crossref","unstructured":"S. Kogon, D. Manolakis, Linear parametric models for signals with long-range dependence and infinite variance, Proc. ICASSP\u201995, Detroit, MI, 1995, pp. 1045\u20131050.","DOI":"10.1109\/ICASSP.1995.479869"},{"issue":"1","key":"10.1016\/S0165-1684(97)00219-3_BIB19","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1093\/biomet\/67.1.238","article-title":"A goodness-of-fit test of simple hypotheses based on the empirical characteristic function","volume":"67","author":"Koutrouvelis","year":"1980","journal-title":"Biometrica"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB20","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1093\/biomet\/41.1-2.44","article-title":"The use of the Hankel transform in statistics","volume":"41","author":"Lord","year":"1954","journal-title":"Biometrica"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB21","series-title":"Characteristic Functions","author":"Lukacs","year":"1960"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB22","doi-asserted-by":"crossref","unstructured":"X. Ma, C. Nikias, Parameter estimation and blind channel identification in impulsive signal environments, IEEE Trans. Signal Process. 43 (12) (December 1995) 2884\u20132897.","DOI":"10.1109\/78.476432"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB23","series-title":"The Fractal Geometry of Nature","author":"Mandelbrot","year":"1983"},{"issue":"1","key":"10.1016\/S0165-1684(97)00219-3_BIB24","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1093\/biomet\/68.1.55","article-title":"The studentized empirical characteristic function and its application to test for the shape of distribution","volume":"68","author":"Murota","year":"1981","journal-title":"Biometrica"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB25","doi-asserted-by":"crossref","unstructured":"K. Nanbu, Fourier transform method to determine the probability density function from a given set of random samples, Phys. Rev. E 52 (6) (December 1995) 5832\u20135838.","DOI":"10.1103\/PhysRevE.52.5832"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB26","doi-asserted-by":"crossref","unstructured":"N. Nandhakumar, J. Michel, D. Arnold, G. Tsihrintzis, V. Velten, Robust thermophysics-based interpretation of radiometrically uncalibrated IR images for ATR and site change detection, IEEE Trans. Image Process. 6 (1) (January 1997) 65\u201378.","DOI":"10.1109\/83.552097"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB27","series-title":"Signal Processing with Alpha-Stable Distributions and Applications","author":"Nikias","year":"1995"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB28","series-title":"Fourier Transforms of Distributions and their Inverses: A Collection of Tables","author":"Oberhettinger","year":"1973"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB29","series-title":"Probability, Random Variables, and Stochastic Processes, 2nd ed.","author":"Papoulis","year":"1984"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB30","doi-asserted-by":"crossref","unstructured":"H. Poor, An Introduction to Signal Detection and Estimation, Springer, New York, 1988 (A Dowden & Culver Book).","DOI":"10.1007\/978-1-4757-3863-6_1"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB31","series-title":"Applied Multivariate Analysis I","author":"Press","year":"1982"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB32","series-title":"Numerical Recipes in C, The Art of Scientific Computing, 2nd ed.","author":"Press","year":"1992"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB33","series-title":"Digital Communications, 3rd ed.","author":"Proakis","year":"1995"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB34","doi-asserted-by":"crossref","unstructured":"M. Rangaswamy, D. Weiner, A. Ozturk, Non-Gaussian random vector identification using spherically invariant random processes, IEEE Trans. Aerospace and Elec. Systems 29 (1) (January 1993) 111\u2013124.","DOI":"10.1109\/7.249117"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB35","series-title":"Linear Statistical Inference and Its Applications","author":"Rao","year":"1965"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB36","series-title":"Stable Non-Gaussian Random Processes","author":"Samorodnitsky","year":"1994"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB37","doi-asserted-by":"crossref","unstructured":"M. Shao, C. Nikias, Signal processing with fractional lower order moments: stable processes and their applications, Proc. IEEE 81 (7) (July 1993) 986\u20131010.","DOI":"10.1109\/5.231338"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB38","series-title":"Density Estimation for Statistics and Data Analysis","author":"Silverman","year":"1986"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB39","doi-asserted-by":"crossref","unstructured":"E. Sousa, Performance of a spread spectrum packet radio network link in a Poisson field of interferences, IEEE Trans. Inform. Theory 38 (6) (November 1992) 1743\u20131754.","DOI":"10.1109\/18.165447"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB40","doi-asserted-by":"crossref","unstructured":"P. Tsakalides, C.L. Nikias, The robust covariation-based music (roc-music) algorithm for bearing estimation in impulsive noise environments, IEEE Trans. Signal Process. 43 (12) (December 1995) 2884\u20132897.","DOI":"10.1109\/78.476432"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB41","doi-asserted-by":"crossref","unstructured":"G.A. Tsihrintzis, C.I. Nikias, Performance of optimum and suboptimum receivers in the presence of impulsive noise modeled as an alpha-stable process, IEEE Trans. Commun. 43 (2\/3\/4) (March 1995) 904\u2013914.","DOI":"10.1109\/26.380123"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB42","unstructured":"G. Tsihrintzis, C. Nikias, Modeling, parameter estimation, and signal detection in radar clutter with alpha-stable distributions, Proc. IEEE Workshop on Nonlinear Signal and Image Processing, Neos, Greece, 1995, pp. 567\u2013570."},{"key":"10.1016\/S0165-1684(97)00219-3_BIB43","doi-asserted-by":"crossref","unstructured":"G.A. Tsihrintzis, C.L. Nikias, Detection of impulsive stochastic transients over background noise, Signal Processing 41 (2) (June 1995) 175\u2013190.","DOI":"10.1016\/0165-1684(94)00099-L"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB44","doi-asserted-by":"crossref","unstructured":"G. Tsihrintzis, C. Nikias, Incoherent receiver in alpha-stable impulsive noise, IEEE Trans. Signal Process. 43 (9) (September 1995) 2225\u20132229.","DOI":"10.1109\/78.414792"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB45","doi-asserted-by":"crossref","unstructured":"G. Tsihrintzis, C. Nikias, Fast estimation of the parameters of alpha-stable impulsive interference, IEEE Trans. Signal Process. 44 (6) (June 1996) 1492\u20131503.","DOI":"10.1109\/78.506614"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB46","series-title":"Statistical Signal Processing","author":"Wegman","year":"1984"},{"key":"10.1016\/S0165-1684(97)00219-3_BIB47","doi-asserted-by":"crossref","unstructured":"E.J. Wegman, S. Schwartz, J. Thomas, Topics in Non-Gaussian Signal Processing, Springer, New York, 1989 (A Dowen & Culver Book).","DOI":"10.1007\/978-1-4613-8859-3"}],"container-title":["Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168497002193?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165168497002193?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T02:49:42Z","timestamp":1681094982000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165168497002193"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,3]]},"references-count":47,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,3]]}},"alternative-id":["S0165168497002193"],"URL":"https:\/\/doi.org\/10.1016\/s0165-1684(97)00219-3","relation":{},"ISSN":["0165-1684"],"issn-type":[{"value":"0165-1684","type":"print"}],"subject":[],"published":{"date-parts":[[1998,3]]}}}