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About SIC POVMs and discrete Wigner distributions
Journal of Optics B: Quantum and Semiclassical Optics, 2005A set of d2 vectors in a Hilbert space of dimension d is called equiangular if each pair of vectors encloses the same angle. The projection operators onto these vectors define a POVM which is distinguished by its high degree of symmetry. Measures of this kind are called symmetric informationally complete, or SIC POVMs for short, and could be applied ...
Colin, Samuel +3 more
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Discrete time and frequency Wigner-Ville distribution: Moyal's formula and aliasing
IEEE Signal Processing Letters, 2005In this letter, we propose a new definition of the discrete time and frequency Wigner-Ville distribution. The proposed distribution not only displays a readable representation (small aliasing) but also exhibits unitarity and is easy to compute. We compare the time-frequency representation associated with this proposed definition with other existing ...
Chassande-Mottin, Eric, Pai, Archana
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Wigner distribution in linear canonical domains: properties and discretization
2019 IEEE International Conference on Signal, Information and Data Processing (ICSIDP), 2019In our previous work, we introduced a kind of closed-form linear canonical transform (LCT) based Wigner distribution (WD), namely, the closed-form instantaneous cross-correlation function type of WD (CICFWD), and discussed its applications in non-stationary signal separation and detection. However, some related theoretical foundations are still unknown.
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A contribution to the unaliased discrete-time Wigner distribution
The Journal of the Acoustical Society of America, 1993This paper presents a new closed form analytical definition of the unaliased discrete-time Wigner distribution (DTWD), which arises naturally from its continuous-time counterpart, and is straightforwardly implementable for digital signal processing. This DTWD possesses properties that resemble those of the continuous time case.
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Proceedings of COMSIG '94 - 1994 South African Symposium on Communications and Signal Processing, 2002
An efficient quadratic time-frequency (TF) discrete pseudo Wigner distribution (DPWD) based detection procedure is proposed for utilisation in direct sequence spread spectrum (DSSS) receivers. A class of complex generalised chirp-like (GCL) perfect-squares minimum-phase constant-amplitude-zero-autocorrelation (PS-MP CAZAC) signature or spreading ...
D.J. van Wyk, L.P. Linde
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An efficient quadratic time-frequency (TF) discrete pseudo Wigner distribution (DPWD) based detection procedure is proposed for utilisation in direct sequence spread spectrum (DSSS) receivers. A class of complex generalised chirp-like (GCL) perfect-squares minimum-phase constant-amplitude-zero-autocorrelation (PS-MP CAZAC) signature or spreading ...
D.J. van Wyk, L.P. Linde
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The Modified Discrete Wigner Distribution and its Application to Acoustic Well Logging
1984The full wave acoustic well log gives a large amount of information about the surrounding formation, which is encoded into a complex wavetrain and is not easily interpretable. This paper presents a technique using the Wigner Distribution to recover some of the information encoded in these wavetrains.
Dwight D. Day, Rao Yarlagadda
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Efficient computation of the discrete Wigner-Ville distribution
2012To ensure that the discrete Wigner-Ville distribution (DWVD) does not contain aliasing terms, the analytic signal is normally used instead of the real signal. However, the computation of the analytic signal amounts to most of the computation time.
Chan, Shingchow, Ho, KaLeung
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Signal reconstruction from discrete-time Wigner distribution
2014Master of ...
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Discrete wigner distribution and half-integer representations of discrete-time signals and systems
2020ÖZET AYRIK WIGNER DAĞILIMI VE BUÇUKLU SAYILARLA AYRIK ZAMANLI SİNYAL VE SİSTEMLERİN TEMSİLİ Burhan Gülbahar Elektrik ve Elektronik Mühendisliği Bölümü Yüksek Lisans Tez Yöneticisi: Dr. Haldun Özaktaş Şubat 2002 Bu tezde sürekli Wigner dağılımının ve onun iki boyutlu Fourier dönüşümü olan be lirsizlik fonksiyonunun ayrık karşılığı tanımlanmıştır ...
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