Abstract
A finite series expansion method using discrete Legendre orthogonal polynomials (DLOPs) is applied to analyze linear time-varying discrete systems. An effective algorithm is derived to establish a representation which relates the DLOP coefficient vector of a product function to those of its two-component functions. By using this representation, along with the time-shift operational matrix of DLOP, a linear time-varying difference equation is converted into a set of linear algebraic equations. It is therefore convenient for computer computation.
Original language | English |
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Pages (from-to) | 149-164 |
Number of pages | 16 |
Journal | Journal of the Franklin Institute |
Volume | 324 |
Issue number | 1 |
DOIs | |
State | Published - 1987 |