720 research outputs found
Uncovering the limits of uniqueness in sampled Gabor phase retrieval: A dense set of counterexamples in L2(ℝ)
No full textSampled Gabor phase retrieval — the problem of recovering a square-integrable signal from the magnitude of its Gabor transform sampled on a lattice — is a fundamental problem in signal processing, with important applications in areas such as imaging and audio processing. Recently, a classification of square-integrable signals which are not phase retrievable from Gabor measurements on parallel lines has been presented. This classification was used to exhibit a family of counterexamples to uniqueness in sampled Gabor phase retrieval. Here, we show that the set of counterexamples to uniqueness in sampled Gabor phase retrieval is dense in L2(ℝ), but is not equal to the whole of L2(ℝ) in general. Overall, our work contributes to a better understanding of the fundamental limits of sampled Gabor phase retrieval.Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Analysi
FIGURES 8–10 in The deep-sea fish digenean genus Tellervotrema Gibson & Bray, 1982 (Opecoelidae: Plagioporinae): Re-evaluation of the type species, T. armstrongi Gibson & Bray, 1982 and T. beringi (Mamaev, 1965)
No full textFIGURES 8–10. Circumcaecal vitelline follicles in a single specimen of Tellervotrema beringi (Mamaev, 1965) from the giant grenadier, Albatrossia pectoralis. 8. Photograph of vitelline follicles located ventral to cecum. 9. Photograph of cecum located directly dorsal to vitelline follicles in Fig. 8. 10. Photograph of vitelline follicles located dorsal to vitelline follicles and cecum in Figs. 8 & 9. Abbreviations: C, cecum; V, vitelline follicles; VS, ventral sucker. Scale-bars: 8–10, 110 µm.Published as part of Blend, Charles K., Dronen, Norman O., Gardner, Scott L., Racz, Gabor R. & Armstrong, Howard W., 2012, The deep-sea fish digenean genus Tellervotrema Gibson & Bray, 1982 (Opecoelidae: Plagioporinae): Re-evaluation of the type species, T. armstrongi Gibson & Bray, 1982 and T. beringi (Mamaev, 1965), pp. 1-29 in Zootaxa 3295 on page 20, DOI: 10.5281/zenodo.20870
FIGURES 20–23 in The deep-sea fish digenean genus Tellervotrema Gibson & Bray, 1982 (Opecoelidae: Plagioporinae): Re-evaluation of the type species, T. armstrongi Gibson & Bray, 1982 and T. beringi (Mamaev, 1965)
No full textFIGURES 20–23. Variability in testes texture and position in species of Tellervotrema. 20. Smooth and barely separated testes in T. armstrongi from the common Atlantic grenadier, Nezumia aequalis, ventral view. 21. Slightly indented and separated testes in T. armstrongi from N. aequalis, ventral view. 22. Lobed and contiguous testes in T. beringi from the giant grenadier, Albatrossia pectoralis, ventral view. 23. Deeply lobed and contiguous testes in T. beringi from A. pectoralis, ventral view. Scale-bars: 20, 105 µm; 21, 400 µm; 22, 315 µm; 23, 280 µm.Published as part of Blend, Charles K., Dronen, Norman O., Gardner, Scott L., Racz, Gabor R. & Armstrong, Howard W., 2012, The deep-sea fish digenean genus Tellervotrema Gibson & Bray, 1982 (Opecoelidae: Plagioporinae): Re-evaluation of the type species, T. armstrongi Gibson & Bray, 1982 and T. beringi (Mamaev, 1965), pp. 1-29 in Zootaxa 3295 on page 23, DOI: 10.5281/zenodo.20870
Gabor Frames for Model Sets
No full textWe generalize three main concepts of Gabor analysis for lattices to the setting of model sets: fundamental identity of Gabor analysis, Janssen’s representation of the frame operator and Wexler–Raz biorthogonality relations. Utilizing the connection between model sets and almost periodic functions, as well as Poisson’s summations formula for model sets we develop a form of a bracket product that plays a central role in our approach. Furthermore, we show that, if a Gabor system for a model set admits a dual which is of Gabor type, then the density of the model set has to be greater than one.© The Author(s) 201
A fast learning algorithm for Gabor transformation
No full textAn adaptive learning approach for the computation of the coefficients of the generalized nonorthogonal 2-D Gabor transform representation is introduced in this correspondence. The algorithm uses a recursive least squares (RLS) type algorithm. The aim is to achieve minimum mean squared error for the reconstructed image from the set of the Gabor coefficients. The proposed RLS learning offers better accuracy and faster convergence behavior when compared with the least mean squares (LMS)-based algorithms. Applications of this scheme in image data reduction are also demonstrated
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