✦ LIBER ✦

Synthesis of complete rational orthonormal bases with prescribed asymptotic order

✍ Scribed by Hüseyin Akçay

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 131 KB
Volume: 37
Category: Article
ISSN: 0005-1098
DOI: 10.1016/s0005-1098(00)00187-4

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✦ Synopsis

In this paper, a method to construct complete rational orthonormal model sets with prescribed asymptotic order is presented for continuous-time systems. Two special cases that illustrate the application of the method are studied. In the "rst case, this method is shown to produce the generalized Laguerre functions which form a complete model set for H and have asymptotic order two. In both cases, this method is equivalent to calculating Toeplitz determinants generated by a rational function. The latter problem is reduced to "nding solution of a linear "nite-di!erence equation.