首页 > 最新文献

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

英文 中文
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
{"title":"Locality and stability for phase retrieval","authors":"Wedad Alharbi, Salah Alshabhi, Daniel Freeman, Dorsa Ghoreishi","doi":"10.1007/s43670-024-00084-y","DOIUrl":"https://doi.org/10.1007/s43670-024-00084-y","url":null,"abstract":"","PeriodicalId":74751,"journal":{"name":"Sampling theory, signal processing, and data analysis","volume":"263 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140750233","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
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

We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary p-groups (Zp)d, 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 d=1,2, and prove some partial results for d=3.

讨论了有限阿贝尔群中平铺、弱平铺与谱集的关系。特别地，在初等p群(Zp)d中，我们引入了一个平均过程，它导致了一个自然的研究对象:一个4元函数组，它可以被视为瓦片和谱集的共同推广。我们刻画了d=1,2时的4元组，并证明了d=3时的部分结果。
{"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

Gabor phase retrieval 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 R2). 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 dense in L2(R). Finally, we develop an intuitive argument on the connection between directions of instability in phase retrieval and certain Laplacian eigenfunctions associated to small eigenvalues.

Gabor 相位检索是仅从 Gabor 变换的幅度重建信号的问题。以往的研究结果表明，离散问题的唯一可解性（从网格上的测量结果恢复）与连续问题的稳定性（从 R2 的开放子集上的测量结果恢复）之间可能存在联系。在本文中，我们通过证明这种联系是不存在的，从而弥补了这一空白。更确切地说，我们确定了函数的存在，这些函数从样本出发打破了唯一性，却不影响连续问题的稳定性。此外，我们还证明了一个新颖的结果，即从样本恢复唯一性的反例在 L2(R) 中是密集的。最后，我们就相位恢复中的不稳定性方向与某些与小特征值相关的拉普拉卡特征函数之间的联系提出了一个直观论证。
{"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
下一页 尾页
类型
全部 化学•材料 生命科学 医学 物理 工程技术 环境•农林 材料科学 地球科学 法学 管理学 化学 环境科学与生态学 计算机科学 教育学 经济学 农林科学 人文科学 生物学 数学 物理与天体物理 心理学 综合性期刊 其他 工业工程 理学 历史学 农学 文学 信息工程
数据库
全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley
期刊
Sampling theory, signal processing, and data analysis
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
﹀
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们：info@booksci.cn
Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1