Simultaneous extrapolation in time and frequency domains using hermite expansions

被引：44
|
作者：
Rao, MM [1 ]
Sarkar, TK [1 ]
Anjali, T [1 ]
Adve, RS [1 ]
机构：
[1] Syracuse Univ, Dept Elect & Comp Engn, Syracuse, NY 13244 USA
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 1999年 / 47卷 / 06期
关键词：
frequency-domain analysis; time-domain analysis;
D O I：
10.1109/8.777138
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The time-domain response of a three-dimensional (3-D) conducting object is: modeled as an associate hermits (AH) series expansion. Using the isomorphism of the AH function and its Fourier transform, the frequency-domain response can be expressed as a scaled version of the time-domain expansion. Using early-time and low-frequency data, we demonstrate simultaneous expansion in both domains; This approach is attractive because expansions with only 10-20 terms give good extrapolation in both time and frequency domains. The computation involved is minimal with this method.
引用
收藏
页码：1108 / 1115
页数：8
相关论文
共 50 条
  • [1] Optimal simultaneous extrapolation of electromagnetic responses in time and frequency domains using Laguerre expansions
    Tong, Chuangming
    Fu, Shuhong
    Li, Ximin
    2006 7TH INTERNATIONAL SYMPOSIUM ON ANTENNAS, PROPAGATION AND EM THEORY, VOLS 1 AND 2, PROCEEDINGS, 2006, : 642 - 645
  • [2] Simultaneous extrapolation of electromagnetic scattering of multi-wires in time and frequency domains based on hermite extrapolation
    Tong, CM
    Yuan, NC
    Li, C
    Hong, W
    2002 3RD INTERNATIONAL CONFERENCE ON MICROWAVE AND MILLIMETER WAVE TECHNOLOGY PROCEEDINGS, 2002, : 614 - 617
  • [3] Optimal simultaneous interpolation/extrapolation algorithm of electromagnetic responses in time and frequency domains
    Hu, JL
    Chan, CH
    Sarkar, TK
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2001, 49 (10) : 1725 - 1732
  • [4] On extrapolation of electromagnetic responses in time and frequency domains
    Jiang, Guangxing
    Zhu, Hongbo
    Cao, Wei
    INTERNATIONAL JOURNAL OF INFRARED AND MILLIMETER WAVES, 2007, 28 (08): : 677 - 688
  • [5] On Extrapolation of Electromagnetic Responses in Time and Frequency Domains
    Guangxing Jiang
    Hongbo Zhu
    Wei Cao
    International Journal of Infrared and Millimeter Waves, 2007, 28 : 677 - 688
  • [6] Time-frequency analysis of signals using support adaptive Hermite-Gaussian expansions
    Alp, Yasar Kemal
    Arikan, Orhan
    DIGITAL SIGNAL PROCESSING, 2012, 22 (06) : 1010 - 1023
  • [7] Simultaneous time- and frequency-domain extrapolation
    Adve, RS
    Sarkar, TK
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1998, 46 (04) : 484 - 493
  • [8] Simultaneous extrapolation of RCS in both angular and frequency domains based on AWE technique
    Tong, CM
    Hong, W
    Yuan, NC
    MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2002, 32 (04) : 290 - 293
  • [9] Hermite expansions for spaces of functions with nearly optimal time-frequency decay
    Neyt, Lenny
    Toft, Joachim
    Vindas, Jasson
    JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 288 (03)
  • [10] Extrapolation of electromagnetic responses from conducting objects in time and frequency domains
    Rao, MM
    Sarkar, TK
    Adve, RS
    Anjali, T
    Callejón, JF
    IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1999, 47 (10) : 1964 - 1974
12345