Techniques for the estimation of red power spectra. I - Context and methodology

Computer Science – Numerical Analysis

Scientific paper

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Neutron Stars, Noise Spectra, Power Spectra, Pulsars, Stellar Mass Accretion, Crab Nebula, Data Sampling, Eigenvalues, Numerical Analysis, Pulse Duration, Stellar Structure, Torque

Scientific paper

In pursuing the application of pulsar timing techniques to the investigation of possible torque noise and the subsequent diagnosis of the internal structure of neutron stars, a general mathematical framework for the computation of power spectra of irregularly sampled red noise processes has been formulated. This framework provides a guide to the selection as well as construction of practical power density estimators, and a means to compare the efficiency of existing techniques.

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