A Note on “The Backus-Gilbert Inversion Method and the Processing of Sampled Data”

Xiang Gen Xia; Zhen Zhang

doi:10.1109/78.370633

A Note on “The Backus-Gilbert Inversion Method and the Processing of Sampled Data”

Xiang Gen Xia, Zhen Zhang

University of Southern California

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

In this note, we show a sequence of interpolation formulas for the Backus-Gilbert (BG) method with 8-function kernels and penalty functions J(t, t’) = (t - t1)2k for integers k> 0. We show that the interpolation in the limit sense of k-ϖ is the Haar representation. The interpolation formulas are generalizations of the one obtained by Caccin et al. We also investigate the possibility of the BG method with 8-function kernels so that it is exactly the same as the Shannon sampling formula.

源语言	英语
页（从-至）	776-778
页数	3
期刊	IEEE Transactions on Signal Processing
卷	43
期	3
DOI	https://doi.org/10.1109/78.370633
出版状态	已出版 - 3月 1995
已对外发布	是

访问文件

10.1109/78.370633

其它文件与链接

链接到 Scopus 的出版物

引用此

Xia, X. G., & Zhang, Z. (1995). A Note on “The Backus-Gilbert Inversion Method and the Processing of Sampled Data”. IEEE Transactions on Signal Processing, 43(3), 776-778. https://doi.org/10.1109/78.370633

@article{86ae7dd908bb4242980c141f77ed3b09,

title = "A Note on “The Backus-Gilbert Inversion Method and the Processing of Sampled Data”",

abstract = "In this note, we show a sequence of interpolation formulas for the Backus-Gilbert (BG) method with 8-function kernels and penalty functions J(t, t{\textquoteright}) = (t - t1)2k for integers k> 0. We show that the interpolation in the limit sense of k-ϖ is the Haar representation. The interpolation formulas are generalizations of the one obtained by Caccin et al. We also investigate the possibility of the BG method with 8-function kernels so that it is exactly the same as the Shannon sampling formula.",

author = "Xia, {Xiang Gen} and Zhen Zhang",

year = "1995",

month = mar,

doi = "10.1109/78.370633",

language = "English",

volume = "43",

pages = "776--778",

journal = "IEEE Transactions on Signal Processing",

issn = "1053-587X",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "3",

}

TY - JOUR

T1 - A Note on “The Backus-Gilbert Inversion Method and the Processing of Sampled Data”

AU - Xia, Xiang Gen

AU - Zhang, Zhen

PY - 1995/3

Y1 - 1995/3

N2 - In this note, we show a sequence of interpolation formulas for the Backus-Gilbert (BG) method with 8-function kernels and penalty functions J(t, t’) = (t - t1)2k for integers k> 0. We show that the interpolation in the limit sense of k-ϖ is the Haar representation. The interpolation formulas are generalizations of the one obtained by Caccin et al. We also investigate the possibility of the BG method with 8-function kernels so that it is exactly the same as the Shannon sampling formula.

AB - In this note, we show a sequence of interpolation formulas for the Backus-Gilbert (BG) method with 8-function kernels and penalty functions J(t, t’) = (t - t1)2k for integers k> 0. We show that the interpolation in the limit sense of k-ϖ is the Haar representation. The interpolation formulas are generalizations of the one obtained by Caccin et al. We also investigate the possibility of the BG method with 8-function kernels so that it is exactly the same as the Shannon sampling formula.

UR - http://www.scopus.com/inward/record.url?scp=0029271470&partnerID=8YFLogxK

U2 - 10.1109/78.370633

DO - 10.1109/78.370633

M3 - Article

AN - SCOPUS:0029271470

SN - 1053-587X

VL - 43

SP - 776

EP - 778

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

IS - 3

ER -

A Note on “The Backus-Gilbert Inversion Method and the Processing of Sampled Data”

摘要

访问文件

其它文件与链接

指纹

引用此