2019
DOI: 10.1007/s00365-019-09465-2
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On Accumulated Cohen’s Class Distributions and Mixed-State Localization Operators

Abstract: Recently we introduced mixed-state localization operators associated to a density operator and a (compact) domain in phase space. We continue the investigations of their eigenvalues and eigenvectors. Our main focus is the definition of a time-frequency distribution which is based on the Cohen class distribution associated to the density operator and the eigenvectors of the mixed-state localization operator. This time-frequency distribution is called the accumulated Cohen class distribution. If the trace class … Show more

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Cited by 23 publications
(23 citation statements)
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“…[6], and is defined by applying smoothing kernels to the so-called Wigner distribution. For details on the connection between the two distinct definitions, see [25]. We give two examples of Cohen class analysis in Figure 19.…”
Section: S(z) := S š(Z)mentioning
confidence: 99%
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“…[6], and is defined by applying smoothing kernels to the so-called Wigner distribution. For details on the connection between the two distinct definitions, see [25]. We give two examples of Cohen class analysis in Figure 19.…”
Section: S(z) := S š(Z)mentioning
confidence: 99%
“…In light of the above, this means that we want to know what prevents the essential dimension of χΩ |Ω| S from being small, or by (23) what prevents the Ω-augmentation to be completely described by a few functions. To clarify this, we use the following result which is an easy consequence of [25,Lem. The reader will of course have noticed that ALC( S, Ω) = 1 |Ω| P (χ Ω S) by Proposition 3.6. Nevertheless, we single out ALC( S, Ω) in order to discuss its interpretation.…”
Section: 2mentioning
confidence: 99%
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