2022
DOI: 10.1093/mnras/stac3412
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H-FISTA: a hierarchical algorithm for phase retrieval with application to pulsar dynamic spectra

Abstract: A pulsar dynamic spectrum is an inline digital hologram of the interstellar medium; it encodes information on the propagation paths by which signals have travelled from source to telescope. To decode the hologram it is necessary to ‘retrieve’ the phases of the wavefield from intensity measurements, which directly gauge only the field modulus, by imposing additional constraints on the model. We present a new method for phase retrieval in the context of pulsar spectroscopy. Our method makes use of the Fast Itera… Show more

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Cited by 4 publications
(4 citation statements)
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“…Secondary spectra were then created by taking the squared modulus of the two-dimensional Fourier transform (i.e., the power spectrum) of the corresponding 50 MHz dynamic spectrum and displaying it logarithmically (in decibels). While this is certainly one of the more commonly used methods for obtaining the secondary spectrum, alternative approaches have recently been explored (Osłowski & Walker 2023).…”
Section: Discussionmentioning
confidence: 99%
“…Secondary spectra were then created by taking the squared modulus of the two-dimensional Fourier transform (i.e., the power spectrum) of the corresponding 50 MHz dynamic spectrum and displaying it logarithmically (in decibels). While this is certainly one of the more commonly used methods for obtaining the secondary spectrum, alternative approaches have recently been explored (Osłowski & Walker 2023).…”
Section: Discussionmentioning
confidence: 99%
“…Studies to date have all been incoherent, attempting to measure the primary scintillation arc without full information of inverted arclets results from interfering pairs of images which arise in highly anisotropic screens. Phase retrie v al techniques such as holography (Walker et al 2008 ;Osłowski & Walker 2023 ), cyclic spectroscopy (Demorest 2011 ;Walker et al 2013 ), and the θ−θ transformation (Sprenger et al 2021 ;Baker et al 2022 ) can greatly increase the precision. In sources with discrete features, the mo v ement of features between observ ations gi ves another constraint on the average arc curvature in the between observations, and can be used as an additional precise constraint (Sprenger et al 2022 ).…”
Section: O N C L U S I O N S a N D F U T U R E P Ro S P E C T Smentioning
confidence: 99%
“…Previous attempts to infer the impulse response from observed data fall into two categories: phase retrieval using the dynamic spectrum (Walker et al 2008;Baker et al 2022), and using the cyclic nature of a pulsar signal to conduct cyclic spectroscopy (Demorest 2011;Walker et al 2013). Phase retrieval techniques usually assume that the impulse response is very sparse in some basis, and are ineffective otherwise (Osłowski & Walker 2022). Cyclic spectroscopy, on the other hand, assumes that the pulsar signal is a cyclostationary signal.…”
Section: Introductionmentioning
confidence: 99%