Savitzky-Golay smoothing and differentiation filter for even number data

被引：289

作者：

Luo, JW ^{[1
]}

Ying, K ^{[1
]}

Bai, J ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Biomed Engn, Beijing 100084, Peoples R China

来源：

SIGNAL PROCESSING | 2005年 / 85卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Savitzky-Golay; smoothing; differentiation; least squares; polynomial;

D O I：

10.1016/j.sigpro.2005.02.002

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 Savitzky-Golay smoothing and differentiation filter optimally fits a set of data points to a polynomial in the least-squares sense. The Savitzky-Golay filter has been developed and generalized well in the literatures. However, the data subset is subject to an odd number (2m + 1). In this communication, the Savitzky-Golay filter is extended for even number data. Simulations are performed to validate the feasibility of such an approach. And some corresponding properties are discussed. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：1429 / 1434

页数：6

共 12 条

[1]

BURDEN RL, 1989, NUMERICAL ANAL, pCH4

[2] GENERAL LEAST-SQUARES SMOOTHING AND DIFFERENTIATION BY THE CONVOLUTION (SAVITZKY-GOLAY) METHOD [J].

GORRY, PA .

ANALYTICAL CHEMISTRY, 1990, 62 (06) :570-573

[3]

HAMMING RW, 1989, DIGITAL FILTERS, pCH3

[4] A least-squares strain estimator for elastography [J].

Kallel, F ;

Ophir, J .

ULTRASONIC IMAGING, 1997, 19 (03) :195-208

[5] Properties of Savitzky-Golay digital differentiators [J].

Luo, JW ;

Ying, K ;

He, P ;

Bai, J .

DIGITAL SIGNAL PROCESSING, 2005, 15 (02) :122-136

[6] Axial strain calculation using a low-pass digital differentiator in ultrasound elastography [J].

Luo, JW ;

Bai, J ;

He, P ;

Ying, K .

IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 2004, 51 (09) :1119-1127

[7]

Mark H, 2003, SPECTROSCOPY, V18, P106

[8]

MARK H, 2005, COMMUNICATION

[9]

OPPENHEIM AV, 1989, DISCRETE TIME SIGNAL, pCH5

[10]

Orfanidis S. J., 1996, INTRO SIGNAL PROCESS

← 1 2 →