Abstract
Signal detection systems frequently must operate in environments that are difficult to characterize with precise statistical models, and thus it is of interest to develop signal detection procedures that are robust against (i.e., insensitive to) deviations in the statistical behavior of signals and noise. During the past two decades there has been considerable work on the problem of designing such procedures, and in this chapter we present a survey of some of the principal developments in this area.
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References
P.J. Huber, A robust version of the probability ratio test, Ann. Math. Statist., Vol. 36, pp. 1753–1758, 1965.
S.A. Kassam, Robust hypothesis testing for bounded classes of probability densities, IEEE Trans. Inform. Theory, Vol IT–27, pp. 242–247, 1981.
P.J. Huber, Robust confidence limits, Z. Wahr. verw. Geb., Vol. 10, pp. 269–278, 1968.
K.S. Vastola and H.V. Poor, On the p-point uncertainty class, IEEE Trans. Inform. Theory, Vol. IT-29, pp. 316–327, 1984.
H. Rieder, Least favorable pairs for special capacities, Ann. Statist., Vol. 5, pp. 909–921, 1977.
P.J. Huber and V. Strassen, Minimax tests and the Neyman-Pearson lemma for capacities, Ann. Statist., Vol. 1, pp. 251–263, 1973.
N.M. Khalfina and L.A. Khalfin, On a robust version of the likelihood ratio test, SIAM Th. Prob. Appl., Vol. 20, pp. 199–202, 1975.
T. Bednarski, On solutions of minimax test problems for special capacities, Z. Wahr. verw. Geb., Vol. 58, pp. 397–405, 1981.
V.P. Kuznetsov, Stable rules for discriminating hypotheses, Prob. Inform. Trans., Vol. 18, pp. 41–51, 1982.
P.J. Huber, Robust estimation of a location parameter, Ann. Math. Statist., Vol. 35, pp. 73–101, 1964.
P.J. Huber, Robust Statistics, New York, NY: Wiley, 1981.
R.D. Martin and S.C. Schwartz, Robust detection of a known signal in nearly Gaussian noise, IEEE Trans. Inform. Theory, Vol. IT–17, pp. 50–56, 1971.
S.A. Kassam and J.B. Thomas, Asymptotically robust quantization for detection, IEEE Trans. Inform. Theory, Vol. IT–22, pp. 22–26, 1976.
H.V. Poor and J.B. Thomas, Asymptotically robust quantization for detection, IEEE Trans. Inform. Theory, Vol. IT–24, pp. 222–229, 1978.
A.H. El-Sawy and V.D. VandeLinde, Robust detection of known signals, IEEE Trans. Inform. Theory, Vol. IT–23, pp. 722–727, 1977.
A.H. El-Sawy and V.D. VandeLinde, Robust sequential detection of signals in noise, IEEE Trans. Inform. Theory, Vol. IT–25, pp. 346–353, 1979.
P.A. Kelly, Robust estimation and detection of signals with arbitrary parameters, Proc. 21st Annual Allerton Conf Comm., Contr., Comp. pp. 602–609, 1983.
A.H. El-Sawy, Detection of signals with unknown phase, Proc. 17 th Annual Allerton Conf. Comm., Contr., and Comp., pp. 152–165, 1979.
H.V. Poor, Signal detection in weakly dependent noise - Part II: Robust detection, IEEE Trans. Inform. Theory, Vol. IT–28, pp. 744–752, 1982.
G.V. Moustakides and J.B. Thomas, Min-max detection of weak signals in ø-mixing noise, IEEE Trans. Inform. Theory, Vol. IT–30, pp. 529–537, 1984.
S.A. Kassam, G. Moustakides and J.G. Shin, Robust detection of known signals in asymmetric noise, IEEE Trans. Inform. Theory, Vol. IT–28, pp. 84–91, 1982.
R.D. Martin, Robust estimation of signal parameters with dependent data, Proc. 21st IEEE Conf. Dec. Contr., pp. 433–436, 1982.
W.L. Root, Stability in signal detection problems, in Proc. Symp. Appl. Math., Vol. 16, Providence, RI: American Math. Society, 1964.
F.R. Hampel, A general qualitative definition of robustness, Ann. Math. Statist., Vol. 42, pp. 1887–1896, 1971.
W.A. Gardner, A unifying view of second-order measures of quality for signal classification, IEEE Trans. Comm., Vol. COM–28, pp. 807–815, 1980.
L.H. Zetterberg, Signal detection under noise interference in a game situation, IEEE Trans. Inform. Theory, Vol. IT–8, pp. 47–57, 1962.
V.P. Kutznetsov, Synthesis of linear detectors when the signal is inexactly given and the properties of the normal noise are incompletely known, Radio Eng. Electron. Phys., (English Transl.), Vol. 19, pp. 65–73, 1974.
V.P. Kuznetsov, Stable detection when the signal and spectrum of normal noise are inaccurately known, Telecomm. Radio Eng., (English Transl.), Vol. 30–31, pp. 58–64, 1976.
S.A. Kassam, T.L. Lim and L.J. Cimini, Two dimensional filters for signal processing under modeling uncertainty, IEEE Trans. Geosci. Elec., Vol. GE–18, pp. 331–336, 1980.
C.T. Chen and S.A. Kassam, Robust multi-input matched filters, Proc. 19th Annual Allerton Conf. on Comm., Contr., Comp., pp. 586–595, 1981.
R.Sh. Aleyner, Synthesis of stable linear dectectors for an inaccurately known signal, Radio Eng. Electron. Phys. (English Transl.), Vol. 22, pp. 142–145, 1977
M.V. Burnashev, On the minimax detection of an inaccurately known signal in a white Gaussian noise background, Theor. Prob. Appl, Vol. 24, pp. 107–119, 1979.
S. Verdu and H.V. Poor, Minimax robust discrete-time matched filters, IEEE Trans. Comm., Vol. COM–31, pp. 208–215, 1983.
S. Verdu and H.V. Poor, Signal selection for robust matched filtering, IEEE Trans. Comm., Vol. COM–31, pp. 667–670, 1983.
H.V. Poor, Robust matched filters, IEEE Trans. Inform. Theory, Vol. IT–29, pp. 677–687, 1983.
S. Verdu and H.V. Poor, On minimax robustness: A general approach and applications, IEEE Trans. Inform. Theory, Vol. IT–30, pp. 328–340, 1984.
D. Slepian, Indistinguishable signals, Proc. IEEE, Vol. 64, pp. 292–300, 1976.
C.R. Baker, Optimum quadratic detection of a random vector in Gaussian noise, IEEE Trans. Comm., Vol. COM–14, pp. 802–805, 1966.
H.V. Poor, Robust decision design using a distance criterion, IEEE Trans. Inform. Theory, Vol. IT–26, pp. 575–587, 1980.
C.J. Masreliez and R.D. Martin, Robust Bayesian estimation for the linear model and robustifying the Kalman filter, IEEE Trans. Auto. Contr., Vol. AC–22, pp. 361–371, 1977.
41]S.A. Kassam and T.L. Lim, Robust Wiener filters, J. Franklin Inst., Vol. 304, pp. 171–185, 1977.
42]K.S. Vastola and H.V. Poor, Robust Wiener-Kolmogorov theory, IEEE Trans. Inform. Theory, Vol. IT–30, pp. 316–327, 1984.
43]S.A. Kassam and H.V. Poor, Robust techniques for signal processing: A survey, Proc. IEEE, Vol. 73, March 1985.
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© 1986 Springer-Verlag New York Inc.
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Poor, H.V. (1986). Robustness in Signal Detection. In: Blake, I.F., Poor, H.V. (eds) Communications and Networks. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4904-7_7
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DOI: https://doi.org/10.1007/978-1-4612-4904-7_7
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