Discrete-Time Detection in ϕ-Mixing Noise

IEEE Transactions on Information Theory

Volumn 26, Issue 2, 1980, Pages 189-198

  Halverson, Don R ^a   Wise, Gary L ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY;

EID: 0018996523     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1980.1056170     Document Type: Article

References (27)

1. E. L. Lehmann, Testing Statistical Hypotheses. New. York: Wiley, 1970, pp. 65–67.
2. J. H. Fennick “Amplitude distributions of telephone channel noise and a model for impulsive noise,” Bell Syst. Tech. J., vol. 48, pp. 3243–3263, Dec. 1969.
3. P. Mertz “Model of impulsive noise for data transmission,” IRE Trans. Commun. Syst., vol. CS-9, pp. 130–137, June 1961.
4. P. Beckmann “Amplitude probability distribution of atmospheric radio noise,” J. Res. Nat. Bur. Stand, vol. 68D, pp. 723–735, June 1964.
5. K. Furutsu and T. Ishida “On the theory of amplitude distribution of impulsive random noise,” J. Appl. Phys., vol. 32, pp. 1206–1221, July 1961.
6. G. V. Trunk “Small- and large-sample behavior of two detectors against envelope-detected sea clutter,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 95–99, Jan. 1970.
7. A. A. Giordano and F. Haber “Modeling of atmospheric noise,” Radio Sci., vol. 7, pp. 1011–1023, 1972.
8. G. V. Trunk and S. F. George “Detection of targets in non-Gaussian sea clutter,” IEEE Trans. Aerosp. Electron. Syst., vol. AES-6, pp. 620–628, Sept. 1970.
9. O. Yue, R. Lugannani, and S. Rice “Series approximations for the amplitude distribution and density of shot processes,” IEEE Trans. Commun., vol. COM-26, pp. 45–54, Jan. 1978.
10. D. Middleton “Man-made noise in urban environments and transportation systems: Models and measurements,” IEEE Trans. Commun., vol. COM-21, pp. 1232–1241, Nov. 1973.
11. R. J. Marks II, G. L. Wise, D. G. Haldeman, and J. L. Whited “Detection in Laplace noise,” IEEE Trans. Aerosp. Electron. Syst., vol. AES-14, no. 6, pp. 866–872, Nov. 1978.
12. J. H. Miller and J. B. Thomas “The detection of signals in impulsive noise modeled as a mixture process,” IEEE Trans. Commun, vol. COM-24, pp. 559–563, May 1976.
13. S. L. Bernstein, et al., “Long-range communications at extremely low frequencies,” Proc. IEEE, vol. 62, pp. 292–312, March 1974.
14. A. R. Milne, “Sound propagation and ambient noise under ice,” in Underwater Acoustics, vol. 2, V. M. Albers, Ed. New York: Plenum, 1962, pp. 103–138.
15. V. V. Olshevskie, Characteristics of Sea Reverberation. New York: Consultant's Bureau, 1967, pp. 55–58.
16. H. V. Poor and J. B. Thomas “Memoryless discrete-time detection of a constant signal in m-dependent noise,” IEEE Trans. Inform. Theory, vol. IT-25, pp. 54–61, Jan. 1979.
17. G. L. Wise and J. B. Thomas “A characterization of Markov sequences,” J. Franklin Inst., vol. 299, pp. 269–278, Apr. 1975.
18. N. N. Vorob'ev “Consistent families of measures and their extensions,” Theory Prob. Appl., vol. 7, pp. 147–163, 1962.
19. P. Billingsley, Convergence of Probability Measures. New York: Wiley, 1968, pp. 166–195.
20. J. R. Blum, D. L. Hanson, and L. H. Koopmans “On the strong law of large numbers for a class of stochastic process,” Z. Wahrscheinlichkeitstheorie verw. Gebiete, vol. 2, pp. 1–11, 1963.
21. G. L. Wise, A. P. Traganitis, and J. B. Thomas “The effect of a memoryless nonlinearity on the spectrum of a random process,” IEEE Trans. Inform. Theory, vol. IT-23, pp. 84–89, Jan. 1977.
22. J. F. Barrett and D. G. Lampard “An expansion for some second-order probability distributions and its application to noise problems,” IRE Trans. Inform. Theory, vol. IT-1, pp. 10–15, Mar. 1955.
23. R. Leipnik “Integral equations, biorthonormal expansions, and noise,” SIAM J. Appl. Math., vol. 7, pp. 6–30, Mar. 1959.
24. G. E. Noether “On a theorem of Pitman,” Ann. Math Stat., vol. 26, pp. 64–68, 1955.
25. S. G. Mikhlin, Linear Integral Equations. Delhi, India: Hindustan, 1960, pp. 124–144.
26. T. Cacoullos “Estimation of a multivariate density,” Inst. Stat. Math., vol. 18, pp. 179–189, 1966.
27. L. P. Devroye and T. J. Wagner “The strong uniform consistency of nearest neighbor density estimates,” Ann. Statist., vol. 5, pp. 536–540, May 1977.