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Spread ambiguity functions

IEEE Transactions on Information Theory, 1988
A generalized spread ambiguity function is defined, and its relationship to P.M. Woodward's (1953) ambiguity function for different models is developed. A derivation and discussion of the properties of the spread ambiguity function are presented. It is shown that smoothing the ambiguity function by the scattering function of the channel does not alter ...
Samir S. Soliman, Robert A. Scholtz
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Thresholding the ambiguity function

2008 IEEE International Conference on Acoustics, Speech and Signal Processing, 2008
In this paper we propose a new method for estimating the ambiguity function (AF) of a random process with limited spreading support. The observed process is modelled as the aggregation of a non-stationary signal of interest and noise. As the AF has limited spreading, thresholding is a suitable estimation procedure. Some key stochastic properties of the
Heidi Hindberg   +2 more
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Generalized ambiguity functions

ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005
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.
Leon Cohen, Theodore E. Posch
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Characterizing the radar ambiguity functions

IEEE Transactions on Information Theory, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Louis Auslander, Richard Tolimieri
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Teager energy and the ambiguity function

IEEE Transactions on Signal Processing, 1999
The connection between the Teager energy operator and the ambiguity function is established in this correspondence after defining the Teager operator over complex-valued signals. This relation allows the use of the Teager energy in estimating the second moment angular bandwidth and the moments of a signal duration (spread) and that of its spectrum.
Ridha Hamila   +4 more
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MIMO Radar Ambiguity Functions

IEEE Journal of Selected Topics in Signal Processing, 2006
Multiple-input multiple-output (MIMO) radar has been shown to provide enhanced performance in theory and in practice. MIMO radars are equipped with the ability to freely choose their transmitted waveforms at each aperture. In conventional radar systems Woodward's ambiguity function is used to characterize waveform resolution performance.
Geoffrey San Antonio   +2 more
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Linear transformations of the ambiguity function

IEEE Transactions on Information Theory, 1966
The radar ambiguity function is useful as a criterion of goodness for modulation signals used to discriminate the range and range-rate of point targets. It is often desirable to change existing ambiguity functions to meet new specifications of resolvability. One way of accomplishing this task is by using linear transformations of the ambiguity function.
Edward L. Titlebaum, Nicholas DeClaris
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On synthesizing cross ambiguity functions

2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011
The cross ambiguity function (CAF) arises in many areas such as radar/sonar and communications when correlation processing is performed in the presence of a Doppler frequency shift. In this paper, the CAF synthesis problem is tackled: a pair of waveforms are jointly designed so that their CAF approximates a desired one.
Hao He 0001, Petre Stoica, Jian Li 0001
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UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION

Journal of the London Mathematical Society, 2005
Let \(u, v \in L^2(R^d)\). The \textit{radar ambiguity function} associated with \(u\) and \(v\) is defined for \(x, y \in R^d\) by \[ A(u, v)(x,y) = \int_{R^d} u(t+x/2) \overline{v(t-x/2)} e^{2 i \pi \langle t, x \rangle} \, dt. \] The author extends uncertainty principles which are valid for the Fourier transform to the setting of the ambiguity ...
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The Ambiguity Function

2012
In Section 3.9.3, the point was made that a radar receiver performs a cross-correlation between the received signal and a reference of the transmitted waveform. Furthermore, the received signal may differ from the transmitted signal on account of being time delayed and Doppler shifted.
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