Triangular Orthogonal Functions for the Analysis of Continuous Time Systems
1st Edition
Published on 15. May 2011
168 pages
978-1-84331-811-8 (ISBN)
Description
This book deals with a new set of triangular orthogonal functions, which evolved from the set of well-known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family. Unlike PCOF, providing staircase solutions, this new set of triangular functions provides piecewise linear solution with less mean integral squared error (MISE).
After introducing the rich background of the PCOF family, which includes Walsh, block pulse and other related functions, fundamentals of the newly proposed set - such as basic properties, function approximation, integral operational metrics, etc. - are presented. This set has been used for integration of functions, analysis and synthesis of dynamic systems and solution of integral equations. The study ends with microprocessor based simulation of SISO control systems using sample-and-hold functions and Dirac delta functions.
After introducing the rich background of the PCOF family, which includes Walsh, block pulse and other related functions, fundamentals of the newly proposed set - such as basic properties, function approximation, integral operational metrics, etc. - are presented. This set has been used for integration of functions, analysis and synthesis of dynamic systems and solution of integral equations. The study ends with microprocessor based simulation of SISO control systems using sample-and-hold functions and Dirac delta functions.
Reviews / Votes
"The book is readable for the interested mathematician and engineer"-Jessica Steward Kelly, "Mathematical Review Clippings," July 2017.
More details
Edition
1st Edition
Language
English
Place of publication
London
United Kingdom
Target group
Professional and scholarly
Illustrations
100+ figures and equations
File size
5,85 MB
ISBN-13
978-1-84331-811-8 (9781843318118)
DOI
https://doi.org/10.7135/UPO9781843318118
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Anish Deb | Gautam Sarkar | Anindita Sengupta
Triangular Orthogonal Functions for the Analysis of Continuous Time Systems
Book
05/2011
Anthem Press
€116.00
Shipment within 10-15 days
Persons
Anish Deb is Professor at the Department of Applied Physics, University of Calcutta, India.
Gautam Sarkar is the Labonyamoyee Das Professor at the Department of Applied Physics, University of Calcutta, India.
Anindita Sengupta is Senior Lecturer at the Department of Electrical Engineering, Bengal Engineering and Science University, India.
Gautam Sarkar is the Labonyamoyee Das Professor at the Department of Applied Physics, University of Calcutta, India.
Anindita Sengupta is Senior Lecturer at the Department of Electrical Engineering, Bengal Engineering and Science University, India.
Content
Preface; 1: Walsh, Block Pulse, and Related Orthogonal Functions in Systems and Control; 2: A Newly Proposed Triangular Function Set and Its Properties; 3: Function Approximation via Triangular Function Sets and Operational Matrices in Triangular Function Domain; 4: Analysis of Dynamic Systems via State Space Approach; 5: Convolution Process in Triangular Function Domain and Its Use in SISO Control System Analysis; 6: Identification of SISO Control Systems via State Space Approach; 7: Solution of Integral Equations via Triangular Functions; 8: Microprocessor Based Simulation of Control Systems Using Orthogonal Functions; Index
