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Radar ambiguity function inL p frame

Science in China Series A: Mathematics, 2000
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Minyou Qi, M. Y. Chi
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Radar Ambiguity Functions and Group Theory

SIAM Journal on Mathematical Analysis, 1985
If \(f\in L^ 2({\mathbb{R}})\) then, for \((u,v)\in {\mathbb{R}}^ 2,\) \(A(f)(u,v)=\)defines the radar ambiguity function of f, in \(L^ 2({\mathbb{R}}^ 2)\). The paper studies the properties of ambiguity functions. It is shown that the set of all ambiguity functions is closed in \(L^ 2({\mathbb{R}}^ 2)\) and that if f,g\(\in L^ 2({\mathbb{R}})\), then \
Auslander, Louis, Tolimieri, Richard
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Multi-Target Ambiguity Functions

1993
Certain applications in narrow-band radar require that the windowed Fourier transform, or Weyl-Heisenberg wavelet expansion of a signal be computed. Under narrowband assumptions, and in general for real applications it is necessary that the window signal have finite second time and frequency moments, but Balian’s theorem shows that in this case the ...
Louis Auslander, Frank Geshwind
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Executive Function and Ambiguous Sentence Comprehension

American Journal of Speech-Language Pathology, 2016
Purpose Sentence comprehension is a critical skill in today's literate society. Recent evidence suggests that processing and comprehending language taps cognitive as well as linguistic abilities, a finding that has critical import for clinicians who have clients with language disorders.
Sarah E, Key-DeLyria, Lori J P, Altmann
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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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Wigner distribution and ambiguity function

AIP Conference Proceedings, 1980
The Wigner phase space distribution and the Woodward radar ambiguity function have each been optically realized in idealized situations. The realistic performance will be assessed under simulated noise and clutter. A general cross Wigner distribution and cross ambiguity function are also compared as to their advantage in signal analysis.
H. Harold Szu, J. A. Blodgett
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The Radar Ambiguity Function

2013
The radar ambiguity function is defined as the absolute value of the envelope of the output of a matched filter when the input to the filter is a Doppler-shifted version of the original signal, to which the filter was matched. Ambiguity functions are usually analyzed on a single pulse basis.
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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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Inequalities Pertaining to Quaternion Ambiguity Function

Advances in Applied Clifford Algebras
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Sembe, Imanuel Agung   +3 more
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Functional Ambiguity in Musical Structures

Music Perception, 1983
This paper first establishes a definition of ambiguity and its significance to art and to perception in general. Its understanding is framed within a hierarchical conception of musical structure most similar to that of Leonard B. Meyer (1956,1973). Following (1) an illustrative survey of occurrences of intentional ambiguity found in the standard music ...
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