Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Models </td><td class="align_center">Magnitude error [dB]</td><td class="align_center">Phase error [DEG]</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">FFD-based Laguerre </td><td class="align_center">0.1002</td><td class="align_center">0.707</td></tr><tr><td class="align_left">FLD-based Laguerre </td><td class="align_center">0.0938</td><td class="align_center">0.777</td></tr><tr><td class="align_left">FFLD-based Laguerre </td><td class="align_center">0.0851</td><td class="align_center">0.608</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Standard deviations of frequency responses for the analyzed models; Example <a href="https://static.hindawi.com/articles/ddns/volume-2016/9590687/figures/#ex3">16</a>.

Discrete Dynamics in Nature and Society

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Table 3

Table 3: Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems 