Numerical instability of deconvolution operation via block pulse functions

被引：1

作者：

Deb, Anish ^{[1
]}

Sarkar, Gautam ^{[1
]}

Biswas, Amitava ^{[2
]}

Mandal, Priyaranjan ^{[3
]}

机构：

[1] Univ Calcutta, Dept Appl Phys, Kolkata 700009, W Bengal, India

[2] Acad Technol, Dept Elect Engn, Hooghly 712121, India

[3] JIS Coll Engn, Dept Elect Engn, Kalyani 741235, W Bengal, India

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2008年 / 345卷 / 04期

关键词：

block pulse functions; identification; oscillation;

D O I：

10.1016/j.jfranklin.2007.09.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper characterizes oscillations found in block pulse function (BPF) domain identification of open loop first-order systems with step input. A useful condition for occurrence of such oscillations is presented mathematically. For any positive value of 'ah', oscillations are observed to occur, where h is the width of BPF domain sub-interval and 1/a is the time constant of the first-order system under consideration. (C) 2007 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：319 / 327

页数：9

共 50 条

[41] Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions
Bo Zhang
Yinggan Tang
Xuguang Zhang
Mathematical Sciences, 2021, 15 : 293 - 304
[42] Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions
Zhang, Bo
Tang, Yinggan
Zhang, Xuguang
MATHEMATICAL SCIENCES, 2021, 15 (03) : 293 - 304
[43] A comparative study of numerical integration based on block-pulse and sinc functions and Chebyshev wavelet
Rostami, Majid
Hashemizadeh, Elham
Heidari, Mohammd
MATHEMATICAL SCIENCES, 2012, 6 (01)
[44] Numerical solution of nonlinear partial quadratic integro-differential equations of fractional order via hybrid of block-pulse and parabolic functions
Mirzaee, Farshid
Alipour, Sahar
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (03) : 1134 - 1151
[45] CONVOLUTION, CORRELATION, AND DECONVOLUTION OF SPLINE FUNCTIONS VIA FFT
ACHILLES, D
NACHRICHTENTECHNISCHE ZEITSCHRIFT, 1977, 30 (08): : 654 - 656
[46] APPLICATION OF BLOCK PULSE FUNCTIONS IN DYNAMIC SIMULATION
SHIH, YP
HWANG, C
COMPUTERS & CHEMICAL ENGINEERING, 1982, 6 (01) : 7 - 13
[47] Optimal Control Approach with Block Pulse Functions
Aousgi, Ines Sansa
Elloumi, Salwa
Braiek, Naceur Benhadj
14TH INTERNATIONAL CONFERENCE ON SCIENCES AND TECHNIQUES OF AUTOMATIC CONTROL & COMPUTER ENGINEERING STA 2013, 2013, : 331 - 336
[48] ANALYSIS AND PARAMETER-ESTIMATION OF BILINEAR-SYSTEMS VIA BLOCK-PULSE FUNCTIONS
CHENG, B
HSU, NS
INTERNATIONAL JOURNAL OF CONTROL, 1982, 36 (01) : 53 - 65
[49] ANALYSIS OF SYSTEMS WITH MULTIPLE TIME-VARYING DELAYS VIA GENERALIZED BLOCK PULSE FUNCTIONS
WANG, ML
YANG, SY
CHANG, RY
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1987, 18 (03) : 543 - 552
[50] SENSITIVITY ANALYSIS OF SYSTEMS INVOLVING LAMDBA-VARIATION VIA BLOCK-PULSE FUNCTIONS
KEKKERIS, GT
MARSZALEK, W
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1989, 20 (10) : 2003 - 2009

← 1 2 3 4 5 →