Triangular Orthogonal Functions for the Analysis of Continuous Time Systems

Anish Deb, Gautam Sarkar, Anindita Sengupta

ISBN 10: 0857289993 / ISBN 13: 9780857289995

Published by Anthem Press, GB, 2011

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. Seller Inventory # LU-9780857289995

Synopsis:

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.

About the Author:

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.

Bibliographic Details

Title: Triangular Orthogonal Functions for the ...
Publisher: Anthem Press, GB
Publication Date: 2011
Binding: Hardback
Condition: New