Analysis of time-varying discrete systems using discrete legendre orthogonal polynomials |
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| Institution: | 1. Department of Mathematics, Cankaya University, Ankara, Balgat, 06530, Turkey;2. Institute of Space Sciences, Magurele-Bucharest, Romania;3. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom |
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| 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. |
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