Asymptotic memoryless discrete-time detection of phi-mixing signals in phi-mixing noise

In this correspondence we consider the design of memoryless discrete-time detectors for a \phi -mixing signal in \phi -mixing noise, where a large degree of dependency may exist between the signal and the noise. The fidelity criterion is taken to be the asymptotic relative efficiency, and it is shown that with this fidelity criterion the nonlinearity in the optimal detector can be found as the solution of an integral equation in which knowledge of only the second-order statistics of the random processes involved is required.

[1]  P. Beckmann,et al.  Amplitude-probability distribution of atmospheric radio noise , 1964 .

[2]  G. L. Wise,et al.  A Detection Scheme for Dependent Noise Processes , 1980 .

[3]  D. Middleton,et al.  Man-Made Noise in Urban Environments and Transportation Systems: Models and Measurements , 1973, IEEE Trans. Commun..

[4]  S. F. George,et al.  Detection of Targets in Non-Gaussian Sea Clutter , 1970, IEEE Transactions on Aerospace and Electronic Systems.

[5]  K. Furutsu,et al.  On the Theory of Amplitude Distribution of Impulsive Random Noise , 1961 .

[6]  J. Miller,et al.  The Detection of Signals in Impulsive Noise Modeled as a Mixture Process , 1976, IEEE Trans. Commun..

[7]  H. Vincent Poor,et al.  Memoryless quantizer- detectors for constant signals in m-dependent noise , 1980, IEEE Trans. Inf. Theory.

[8]  H. Vincent Poor,et al.  Stochastic Convergence under Nonlinear Transformations on Metric Spaces , 1979 .

[9]  F. Haber,et al.  Modeling of Atmospheric Noise , 1972 .

[10]  J. H. Fennick,et al.  Amplitude distributions of telephone channel noise and a model for impulse noise , 1969 .

[11]  R. Marks,et al.  Detection in Laplace Noise , 1978, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Gerard V. Trunk.  Small and Large-Sample Behavior of Two Detectors Against Envelope-Detected , 1970, IEEE Trans. Inf. Theory.

[13]  G. E. Noether,et al.  ON A THEOREM OF PITMAN , 1955 .

[14]  P. Mertz.  Model of Impulsive Noise for Data Transmission , 1961 .

[15]  On-Ching Yue,et al.  Series Approximations for the Amplitude Distribution and Density of Shot Processes , 1978, IEEE Trans. Commun..

[16]  H. Vincent Poor,et al.  Memoryless discrete-time detection of a constant signal in m-dependent noise , 1979, IEEE Trans. Inf. Theory.

[17]  I. Richer,et al.  Long-range communications at extremely low frequencies , 1974 .

[18]  D. Halverson,et al.  Discrete-time detection in Epsilon -mixing noise , 1980, IEEE Trans. Inf. Theory.

[19]  Gary L. Wise,et al.  On preservation of mean square continuity under zero memory non-linear transformation , 1977 .