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Activity Number: 565
Type: Contributed
Date/Time: Thursday, August 6, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #304391
Title: A Robust Nonlinear Method for Spectral Analysis
Author(s): Ta-Hsin Li*+
Companies: IBM T. J. Watson Research Center
Address: , , ,
Keywords: Time series ; spectral analysis ; robustness ; least absolute deviation
Abstract:

A new type of periodogram is obtained by replacing the least-squares criterion with an Lp-norm criterion in the regression formulation of the ordinary periodogram. A relationship is established between the new periodogram and the serial dependence of a random process. It is shown that the new periodogram can strike a balance between the robustness against heavy-tailed noise and the effectiveness like the ordinary periodogram under normal conditions. Simulation results and real-data examples are provided to demonstrate the performance of the new periodogram for spectral analysis and signal detection.


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