| Triangular Orthogonal Functions for the Analysis of Continuous Time Systems Contributor(s): Deb, Anish (Author), Sarkar, Gautam (Author), SenGupta, Anindita (Author) |
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ISBN: 0857289993 ISBN-13: 9780857289995 Publisher: Anthem Press OUR PRICE: $109.25 Product Type: Hardcover - Other Formats Published: May 2011 |
| Additional Information |
| BISAC Categories: - Science | Physics - General |
| Dewey: 515.55 |
| Physical Information: 0.56" H x 5.5" W x 8.5" (0.81 lbs) 168 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 family (PCOF). 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. This book is a source of new knowledge to researchers and academicians in the area of mathematics as well as systems and control. |