2010
DOI: 10.1051/0004-6361/200913144
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Quasi-periodic oscillations under wavelet microscope: the application of Matching Pursuit algorithm

Abstract: We zoom in on the internal structure of the low-frequency quasi-periodic oscillation (LF QPO) often observed in black hole binary systems to investigate the physical nature of the lack of coherence in this feature. We show the limitations of standard Fourier power spectral analysis for following the evolution of the QPO with time and instead use wavelet analysis and a new time-frequency technique -Matching Pursuit algorithm -to maximise the resolution with which we can follow the QPO behaviour. We use the LF Q… Show more

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Cited by 21 publications
(21 citation statements)
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“…The type C QPO width sets the typical time‐scale for the QPO signal to remain coherent. Since the QPO is not always present in the light curve, there also exists an excitation time‐scale responsible for the QPO appearance (Lachowicz & Done 2010). The QPO can be broadened if the excitation time‐scale becomes shorter than the QPO time‐scale, as the excitation presumably interrupts the coherent QPO light curve by phase randomizing it.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…The type C QPO width sets the typical time‐scale for the QPO signal to remain coherent. Since the QPO is not always present in the light curve, there also exists an excitation time‐scale responsible for the QPO appearance (Lachowicz & Done 2010). The QPO can be broadened if the excitation time‐scale becomes shorter than the QPO time‐scale, as the excitation presumably interrupts the coherent QPO light curve by phase randomizing it.…”
Section: Discussionmentioning
confidence: 99%
“…Wagoner, Silbergleit & Ortega-Rodríguez (2001), Titarchuk & Osherovich (1999) and Tagger & Pellat (1999). there also exists an excitation time-scale responsible for the QPO appearance (Lachowicz & Done 2010). The QPO can be broadened if the excitation time-scale becomes shorter than the QPO timescale, as the excitation presumably interrupts the coherent QPO light curve by phase randomizing it.…”
mentioning
confidence: 99%
“…Clumps forming from random density fluctuations in regions high above the midplane could temporarily misalign the flow leading to intermittent precession. This predicted intermittency has the advantage of naturally explaining the observed random jumps in QPO phase (Miller & Homan ; Lachowicz & Done ).…”
Section: Model Geometrymentioning
confidence: 93%
“…The model matches the trend in the data fairly well, and forms a lower limit to the width of the QPO. However, other effects such as the on‐time of the QPO (see Lachowicz & Done 2010) can decrease the coherence of the signal, so here we simply use the data to determine the QPO width (parametrized as the quality factor Q = f QPO /σ QPO ) after using the broad‐band noise surface density to determine the QPO frequency, f QPO .…”
Section: The Qpo: Precession and Surface Densitymentioning
confidence: 99%