Minimum-Energy Wavelet Frames on Local Fields

被引：0

作者：

Shah F.A. ^{[1
]}

Debnath L. ^{[2
]}

机构：

[1] Department of Mathematics, University of Kashmir, South Campus, Anantnag, 192101, Jammu and Kashmir

[2] Department of Mathematics, University of Texas-Pan, American, Edinburg, 78539, TX

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期

关键词：

Extension principle; Fourier transform; Local field; Minimum-energy frame; Modulation matrix; Polyphase matrix; Wavelet frame;

D O I：

10.1007/s40819-017-0310-z

中图分类号：

学科分类号：

摘要：

To overcome the computational complexity, numerical instability and the complication of change of bases problem, we introduce the concept of minimum-energy wavelet frame on local fields of positive characteristic and present its equivalent characterizations in terms of their wavelet masks. Besides, in view of polyphase representation of the wavelet masks, we give a necessary and sufficient condition for the existence of minimum-energy wavelet frames on local fields. At last, we present the decomposition and reconstruction formulae of minimum-energy wavelet frame for L 2 (K). © 2017, Springer India Pvt. Ltd.

引用

页码：3455 / 3469

页数：14

共 50 条

[41] Minimum-Energy Filtering for Attitude Estimation
Zamani, Mohammad
Trumpf, Jochen
Mahony, Robert
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (11) : 2917 - 2921
[42] Minimum-energy broadcast with few senders
Funke, Stefan
Laue, Soeren
Naujoks, Rouven
DISTRIBUTED COMPUTING IN SENSOR SYSTEMS, PROCEEDINGS, 2007, 4549 : 404 - +
[43] Minimum-energy regulation of a power conversion circuit
Vega, C. J.
Alzate, R.
2015 IEEE 2ND COLOMBIAN CONFERENCE ON AUTOMATIC CONTROL (CCAC), 2015,
[44] Minimum-Energy Operation Via Error Resiliency
Abdallah, Rami A.
Shanbhag, Naresh R.
IEEE EMBEDDED SYSTEMS LETTERS, 2010, 2 (04) : 115 - 118
[45] Minimum-Energy Distributed Consensus of Uncertain Agents
Zamani, Mohammad
Shames, Iman
Ugrinovskii, Valery
2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 1470 - 1475
[46] Ultralow-voltage, minimum-energy CMOS
Hanson, S.
Zhai, B.
Bernstein, K.
Blaauw, D.
Bryant, A.
Chang, L.
Das, K. K.
Haensch, W.
Nowak, E. J.
Sylvester, D. M.
IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 2006, 50 (4-5) : 469 - 490
[47] MINIMUM-ENERGY CONFIGURATION OF LI+ IN KCL
DIENES, GJ
HATCHER, RD
SMOLUCHOWSKI, R
WILSON, W
PHYSICAL REVIEW LETTERS, 1966, 16 (01) : 25 - +
[48] Inverse source problem and minimum-energy sources
Marengo, EA
Devaney, AJ
Ziolkowsk, RW
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (01) : 34 - 45
[49] The Necessary and Sufficient Conditions for Wavelet Frames in Sobolev Space Over Local Fields
Pathak, Ashish
Kumar, Dileep
Singh, Guru P.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (03): : 81 - 92
[50] Minimum-energy mobile wireless networks revisited
Li, L
Halpern, JY
2001 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS, VOLS 1-10, CONFERENCE RECORD, 2001, : 278 - 283

← 1 2 3 4 5 →