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Sampling theory, signal processing, and data analysis最新文献

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Locality and stability for phase retrieval 相位检索的定位和稳定性
Sampling theory, signal processing, and data analysis Pub Date : 2024-04-03 DOI: 10.1007/s43670-024-00084-y
Wedad Alharbi, Salah Alshabhi, Daniel Freeman, Dorsa Ghoreishi
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引用次数: 0
Nonlinear expansions in Banach spaces 巴拿赫空间中的非线性展开
Sampling theory, signal processing, and data analysis Pub Date : 2024-03-01 DOI: 10.1007/s43670-024-00082-0
M. Nasri
{"title":"Nonlinear expansions in Banach spaces","authors":"M. Nasri","doi":"10.1007/s43670-024-00082-0","DOIUrl":"https://doi.org/10.1007/s43670-024-00082-0","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140086184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on the cosine operator function for Mellin sampling series 关于梅林采样序列余弦算子函数的说明
Sampling theory, signal processing, and data analysis Pub Date : 2024-01-23 DOI: 10.1007/s43670-023-00081-7
A. Kivinukk, G. Tamberg
{"title":"A note on the cosine operator function for Mellin sampling series","authors":"A. Kivinukk, G. Tamberg","doi":"10.1007/s43670-023-00081-7","DOIUrl":"https://doi.org/10.1007/s43670-023-00081-7","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"119 51","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139605364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
2023—A twofold commemoration: the 100th birthday of Walsh functions and the 50th anniversary of Professor Joseph Leonard Walsh’s death 2023 年--双重纪念活动：沃尔什函数 100 周年和约瑟夫-伦纳德-沃尔什教授逝世 50 周年
Sampling theory, signal processing, and data analysis Pub Date : 2024-01-06 DOI: 10.1007/s43670-023-00080-8
Paul L. Butzer Professor, Franz Pichler Professor, Ferenc Schipp Professor, Radomir S. Stanković Professor, Rudolf L. Stens Professor
{"title":"2023—A twofold commemoration: the 100th birthday of Walsh functions and the 50th anniversary of Professor Joseph Leonard Walsh’s death","authors":"Paul L. Butzer Professor, Franz Pichler Professor, Ferenc Schipp Professor, Radomir S. Stanković Professor, Rudolf L. Stens Professor","doi":"10.1007/s43670-023-00080-8","DOIUrl":"https://doi.org/10.1007/s43670-023-00080-8","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"2 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139380626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tiling and weak tiling in (Zp)d. (Zp)d中的平铺和弱平铺。
Sampling theory, signal processing, and data analysis Pub Date : 2024-01-01 Epub Date: 2023-12-04 DOI: 10.1007/s43670-023-00073-7
Gergely Kiss, Dávid Matolcsi, Máté Matolcsi, Gábor Somlai
{"title":"<ArticleTitle xmlns:ns0=\"http://www.w3.org/1998/Math/MathML\">Tiling and weak tiling in <ns0:math><ns0:msup><ns0:mrow><ns0:mo>(</ns0:mo><ns0:msub><ns0:mi>Z</ns0:mi><ns0:mi>p</ns0:mi></ns0:msub><ns0:mo>)</ns0:mo></ns0:mrow><ns0:mi>d</ns0:mi></ns0:msup></ns0:math>.","authors":"Gergely Kiss, Dávid Matolcsi, Máté Matolcsi, Gábor Somlai","doi":"10.1007/s43670-023-00073-7","DOIUrl":"https://doi.org/10.1007/s43670-023-00073-7","url":null,"abstract":"<p><p>We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary <i>p</i>-groups <math><msup><mrow><mo>(</mo><msub><mi>Z</mi><mi>p</mi></msub><mo>)</mo></mrow><mi>d</mi></msup></math>, we introduce an averaging procedure that leads to a natural object of study: a 4-tuple of functions which can be regarded as a common generalization of tiles and spectral sets. We characterize such 4-tuples for <math><mrow><mi>d</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></math>, and prove some partial results for <math><mrow><mi>d</mi><mo>=</mo><mn>3</mn></mrow></math>.</p>","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"22 1","pages":"1"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10695897/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138500405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the connection between uniqueness from samples and stability in Gabor phase retrieval. 论 Gabor 相位检索中样本唯一性与稳定性之间的联系
Sampling theory, signal processing, and data analysis Pub Date : 2024-01-01 Epub Date: 2024-01-17 DOI: 10.1007/s43670-023-00079-1
Rima Alaifari, Francesca Bartolucci, Stefan Steinerberger, Matthias Wellershoff
{"title":"On the connection between uniqueness from samples and stability in Gabor phase retrieval.","authors":"Rima Alaifari, Francesca Bartolucci, Stefan Steinerberger, Matthias Wellershoff","doi":"10.1007/s43670-023-00079-1","DOIUrl":"https://doi.org/10.1007/s43670-023-00079-1","url":null,"abstract":"<p><p><i>Gabor phase retrieval</i> is the problem of reconstructing a signal from only the magnitudes of its Gabor transform. Previous findings suggest a possible link between unique solvability of the discrete problem (recovery from measurements on a lattice) and stability of the continuous problem (recovery from measurements on an open subset of <math><msup><mrow><mi>R</mi></mrow><mn>2</mn></msup></math>). In this paper, we close this gap by proving that such a link cannot be made. More precisely, we establish the existence of functions which break uniqueness from samples without affecting stability of the continuous problem. Furthermore, we prove the novel result that counterexamples to unique recovery from samples are <i>dense</i> in <math><mrow><msup><mi>L</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math>. Finally, we develop an intuitive argument on the connection between directions of instability in phase retrieval and certain Laplacian eigenfunctions associated to small eigenvalues.</p>","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"22 1","pages":"6"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10794308/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139543536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A linear programming approach to Fuglede’s conjecture in $$mathbb {Z}_p^3$$ 用线性规划方法解决 $$mathbb {Z}_p^3$$ 中的 Fuglede 猜想
Sampling theory, signal processing, and data analysis Pub Date : 2023-12-11 DOI: 10.1007/s43670-023-00078-2
R. Malikiosis
{"title":"A linear programming approach to Fuglede’s conjecture in $$mathbb {Z}_p^3$$","authors":"R. Malikiosis","doi":"10.1007/s43670-023-00078-2","DOIUrl":"https://doi.org/10.1007/s43670-023-00078-2","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"2 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138981177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The momentum operator on a union of intervals and the Fuglede conjecture 区间并集上的动量算子及Fuglede猜想
Sampling theory, signal processing, and data analysis Pub Date : 2023-11-10 DOI: 10.1007/s43670-023-00072-8
Dorin Ervin Dutkay, Palle E. T. Jorgensen
{"title":"The momentum operator on a union of intervals and the Fuglede conjecture","authors":"Dorin Ervin Dutkay, Palle E. T. Jorgensen","doi":"10.1007/s43670-023-00072-8","DOIUrl":"https://doi.org/10.1007/s43670-023-00072-8","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"113 47","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135138252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale 早期的影响，Fuglede问题，频谱vs平铺，以及与约翰·冯·诺伊曼，欧文·西格尔，马歇尔·斯通和大卫·谢尔的相关工作的联系
Sampling theory, signal processing, and data analysis Pub Date : 2023-11-03 DOI: 10.1007/s43670-023-00074-6
Palle E. T. Jorgensen
{"title":"Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale","authors":"Palle E. T. Jorgensen","doi":"10.1007/s43670-023-00074-6","DOIUrl":"https://doi.org/10.1007/s43670-023-00074-6","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"13 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135868222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
High dimensional binary classification under label shift: phase transition and regularization 标签移位下的高维二值分类:相变与正则化
Sampling theory, signal processing, and data analysis Pub Date : 2023-10-25 DOI: 10.1007/s43670-023-00071-9
Jiahui Cheng, Minshuo Chen, Hao Liu, Tuo Zhao, Wenjing Liao
{"title":"High dimensional binary classification under label shift: phase transition and regularization","authors":"Jiahui Cheng, Minshuo Chen, Hao Liu, Tuo Zhao, Wenjing Liao","doi":"10.1007/s43670-023-00071-9","DOIUrl":"https://doi.org/10.1007/s43670-023-00071-9","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"32 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134974103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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