Ip-DFT Based on Polynomial Interpolation and Newton-Raphson: A Multifrequency Estimation Alternative for Zero-Padding and Window Function Independence

IEEE International Workshop on Applied Measurements for Power Systems (AMPS), pp. 1–6

Abstract

The need for Zero-Padding alternatives for implementing the FFT technique with the ipDFT algorithm has received few citations in the literature. In the present work, we adapted the ipDFT problem to reflect the influence of Zeroes-Padded after the window function and proposed a practical approach to solve the problem adapted and fit to any window function adopted, with the help of the Lagrange Polynomial Interpolation technique and Newton-Raphson method. Finally, we present here the results of the current approach to the classical ipDFT technique (associated with the solution for Hann Window), as well as the application of the interpolated DFT method with two other window functions to serve as examples of the existing possibilities behind the solution proposed by the current work.

Authors 5

1. César Cazal Aachen Institute for Automation of Complex Power Systems

   RWTH Aachen University

   Affiliation as printed

   Institute for Automation of Complex Power Systems, RWTH Aachen University,Aachen,Germany

2. Luca Tari

   Università degli studi di Cassino e del Lazio Meridionale

   Affiliation as printed

   Cassino and Southern Lazio,Department of Electrical and Information Engineering,Cassino,Italy

3. Mirko Ginocchi Aachen Institute for Automation of Complex Power Systems

   RWTH Aachen University

   Affiliation as printed

   Institute for Automation of Complex Power Systems, RWTH Aachen University,Aachen,Germany

4. Ferdinanda Ponci Aachen Institute for Automation of Complex Power Systems

   RWTH Aachen University

   Affiliation as printed

   Institute for Automation of Complex Power Systems, RWTH Aachen University,Aachen,Germany

5. Antonello Monti Aachen Institute for Automation of Complex Power Systems

   Fraunhofer Institute for Applied Information Technology · RWTH Aachen University

   Affiliation as printed

   Institute for Automation of Complex Power Systems, RWTH Aachen University, Fraunhofer FIT,Aachen,Germany