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]R. E. Blahut, Theory of remote surveillance algorithms, in RADAR and SONAR, Part 1, IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York (1991).

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A Note on Group Contractions and Radar Ambiguity Functions - Kalnins, Miller, Jr. (1992)   (1 citation)  (Correct)

....importance in the theory of radar and sonar. The use of the ambiguity function to estimate the range and velocity of point targets and, more generally, of the cross ambiguity function to estimate target distribution functions in both the wideband and narrowband cases is basic to the theory, [3], 4] 14] 20] There is an intimate relationship between the cross ambiguity functions defined above and the theory of group representations. In particular the wideband cross ambiguity functions can be interpreted as matrix elements of unitary irreducible representations of the two dimensional ....

]R. E. Blahut, Theory of remote surveillance algorithms, in RADAR and SONAR, Part 1, IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York (1991).


Universal Delay Estimation for Discrete Channels - Stein, Ziv, Merhav (1998)   (Correct)

....Even if the channel parameters are known, the optimal choice of a signal is still an unsolved problem, although some kinds of signals have been proved to be better than others. For the well studied Gaussian case, the optimal signal, measured in terms of the ambiguity function, is still unknown [12]. Pseudo random sequences have been shown to have good properties for delay estimation [13] For the two sensor problem, the signal emitted or reflected from the target is unknown and thus these signals can be considered random. Therefore our error criterion is the average probability of error, ....

R. E. Blahut, "Theory of remote surveillance algorithms", printed in R. E. Blahut, W. Miller and L. H. Wilcox (Eds), Radar and Sonar, Part I, New York, Springer-Verlag, 1991.


Maximizing Irregularity and the Golomb Ruler Problem - Freeman   (Correct)

....are sharply peaked in phase space. As this second item provides the primary motivation for the present work, we will provide a very brief summary. A clear introductory treatment of radar theory, which has more detailed explanations of the terminology and concepts used below, is given in reference [2]. Let f 2 L 2 (IR) The (narrowband) ambiguity function of f is defined to be the inner product of f with a copy of itself which has been shifted in both time and frequency. We define an operator which effects this time frequency shift by [E ; f ] t) j f(t Gamma )e Gammai t : 1) The ....

....using the waveform f(t) and its ability to resolve closely spaced targets; therefore, we would like A f ( to be as sharply peaked as possible. Due to the close relationship it bears with the Fourier transform, many simple properties of the ambiguity function can easily be proved [2]. For our purposes, the following two are most relevant: jA f ( j jA f (0; 0)j; 3) 1 2 Z 1 Gamma1 d Z 1 Gamma1 d jA f ( j 2 = jA f (0; 0)j 2 : 4) The first property says that the maximum value of jA f ( j is attained at the origin. The second property says that the ....

R. E. Blahut, "Theory of Remote Surveillance Algorithms", Radar and Sonar --- Part I (IMA Volumes in Mathematics and its Applications), vol. 32, Springer-Verlag, 1991.

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