Generalized ambiguity functions

Two generalizations of the ambiguity functions are presented. The first corresponds to the class of ambiguity functions which are bilinear in the signal. The second corresponding to the positive time-frequency distribution functions.

[1]  Leon Cohen,et al.  Probability distributions with given multivariate marginals , 1984 .

[2]  Ajem Guido Janssen,et al.  On the locus and spread of pseudo-density functions in the time-frequency plane , 1982 .

[3]  Cornelis P. Janse,et al.  Time-Frequency Distributions of Loudspeakers: The Application of the Wigner Distribution , 1983 .

[4]  E. Wigner.  On the quantum correction for thermodynamic equilibrium , 1932 .

[5]  Leon Cohen,et al.  Positive time-frequency distribution functions , 1985, IEEE Trans. Acoust. Speech Signal Process..

[6]  Leon Cohen,et al.  Representable local kinetic energy , 1984 .

[7]  Morris J. Levin,et al.  Instantaneous spectra and ambiguity functions (Corresp.) , 1964, IEEE Trans. Inf. Theory.

[8]  A. W. Rihaczek.  Principles of high-resolution radar , 1969 .

[9]  C. Turner.  On the Concept of an Instantaneous Power Spectrum, and Its Relationship to the Autocorrelation Function , 1954 .

[10]  L. Cohen.  Generalized Phase-Space Distribution Functions , 1966 .

[11]  H. Szu.  Two -dimensional optical processing of one- dimensional acoustic data , 1982 .

[12]  Philip M. Woodward,et al.  Probability and Information Theory with Applications to Radar , 1954 .

[13]  M. Ackroyd.  Instantaneous and time-varying spectraߞan introduction , 1970 .

[14]  L. Cohen.  Local kinetic energy in quantum mechanics , 1979 .

[15]  C. Page.  Instantaneous Power Spectra , 1952 .

[16]  Leon Cohen,et al.  Can Quantum Mechanics Be Formulated as a Classical Probability Theory? , 1966, Philosophy of Science.

[17]  August W. Rihaczek,et al.  Signal energy distribution in time and frequency , 1968, IEEE Trans. Inf. Theory.

[18]  L. Cohen,et al.  Probabilities in Quantum Mechanics , 1967 .

[19]  L. Cohen.  Quantization problem and variational principle in the phase‐space formulation of quantum mechanics , 1976 .

[20]  O. Grace.  Instantaneous power spectra , 1981 .

[21]  Leon Cohen,et al.  Positive quantum joint distributions , 1980 .

[22]  Leon Cohen.  Covariance for quasi-probability distributions , 1976 .