Some Recent Results in Signal Detection.

Abstract : Some recent results on the detection and estimation of signals in the presence of noise are discussed. An exact confidence lower bound is obtained for the discriminatory power of an estimated linear discriminant function for signal detection. Information theoretic criteria are suggested for the estimation of signals. A new method is proposed for determining the number of signals and estimating them in exponential signal models. Keywords: Discriminant function; Exponential signal models; Information criteria in model selection; Prony's method; Signal processing.

[1]  R. Kumaresan,et al.  Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise , 1982 .

[2]  Z. Bai,et al.  On detection of the number of signals in presence of white noise , 1985 .

[3]  C. Radhakrishna Rao,et al.  Tests with discriminant functions in multivariate analysis , 1946 .

[4]  Calyampudi R. Rao,et al.  Tables for obtaining confidence bounds for realized signal to noise ratio with an estimated discriminant function , 1986 .

[5]  C. R. Rao,et al.  The Utilization of Multiple Measurements in Problems of Biological Classification , 1948 .

[6]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[7]  J. Rissanen,et al.  Modeling By Shortest Data Description* , 1978, Autom..

[8]  I. Reed,et al.  Rapid Convergence Rate in Adaptive Arrays , 1974, IEEE Transactions on Aerospace and Electronic Systems.

[9]  Calyampudi Radhakrishna Rao,et al.  Linear Statistical Inference and its Applications , 1967 .

[10]  Z. Bai,et al.  On detection of the number of signals when the noise covariance matrix is arbitrary , 1986 .

[11]  Calyampudi R. Rao,et al.  LIKELIHOOD RATIO TESTS FOR RELATIONSHIPS BETWEEN TWO COVARIANCE MATRICES , 1982 .

[12]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[13]  M. R. Osborne Some Special Nonlinear Least Squares Problems , 1975 .

[14]  T. W. Anderson ASYMPTOTIC THEORY FOR PRINCIPAL COMPONENT ANALYSIS , 1963 .

[15]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[16]  Ramdas Kumaresan,et al.  ESTIMATING THE PARAMETERS OF EXPONENTIALLY DAMPED OR UNDAMPED SINUSOIDAL SIGNALS IN NOISE , 1982 .

[17]  Z D Bai,et al.  Signal Processing Using Model Selection Methods , 1986 .

[18]  R. Kumaresan,et al.  Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood , 1982, Proceedings of the IEEE.