Triangular Orthogonal Functions for the Analysis of Continuous Time Systems

Download or read book Triangular Orthogonal Functions for the Analysis of Continuous Time Systems written by Anish Deb and published by Anthem Press. This book was released on 2011-05-15 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.