A Bispectral Analysis of the Radio Emissions of Pulsar J0437-4715

Abstract

A combination of the very low signal-to-noise ratio and the very large parameter space spanned by pulsar emissions makes pulsar detection a challenging task. Currently, brute force parameter searches are often used for pulsar detection and a cyclostationary Gaussian model is assumed for pulsar emissions. Higher-Order spectra offer high signal-to-noise ratio domains in problems where the desired signal is polluted by Gaussian noise. The presence of nonzero higher-order spectral components in pulsar bursts may offer alternative detection methods. This work presents a review of higher-order statistics and offers a motivation for their use in the characterization of pulsar bursts. A dish from the MeerKAT telescope was used to acquire recorded radio bursts from pulsar J0437-4715. These bursts were found to contain nonzero bispectral components that were dispersed in the same way as the components of the power spectrum.