Geodesic
On detection of a signal of known shape in multi-channel system
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 88-112

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The problem of detection of a signal in $n$-channel system is considered. A signal of known shape is observed in the background Gaussian white noise. Minimax asymptotics depending on asymptotics of number $k$ of channels and on the signal-to-noise ratio are studied. 
@article{ZNSL_2002_294_a6,
     author = {Yu. I. Ingster and I. A. Suslina},
     title = {On  detection of a signal of known shape in multi-channel system},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {88--112},
     publisher = {mathdoc},
     volume = {294},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a6/}
}
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Yu. I. Ingster; I. A. Suslina. On  detection of a signal of known shape in multi-channel system. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 88-112. http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a6/