Applying the Viterbi Algorithm to Planetary-Mass Black Hole Searches
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914955016536064 |
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| author | Alestas, George Morras, Gonzalo Yamamoto, Takahiro S. Garcia-Bellido, Juan Kuroyanagi, Sachiko Nesseris, Savvas |
| author_facet | Alestas, George Morras, Gonzalo Yamamoto, Takahiro S. Garcia-Bellido, Juan Kuroyanagi, Sachiko Nesseris, Savvas |
| contents | The search for subsolar mass primordial black holes (PBHs) poses a challenging problem due to the low signal-to-noise ratio, extended signal duration, and computational cost demands, compared to solar mass binary black hole events. In this paper, we explore the possibility of investigating the mass range between subsolar and planetary masses, which is not accessible using standard matched filtering and continuous wave searches. We propose a systematic approach employing the Viterbi algorithm, a dynamic programming algorithm that identifies the most likely sequence of hidden Markov states given a sequence of observations, to detect signals from small mass PBH binaries. We formulate the methodology, provide the optimal length for short-time Fourier transforms, and estimate sensitivity. Subsequently, we demonstrate the effectiveness of the Viterbi algorithm in identifying signals within mock data containing Gaussian noise. Our approach offers the primary advantage of being agnostic and computationally efficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02314 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Applying the Viterbi Algorithm to Planetary-Mass Black Hole Searches Alestas, George Morras, Gonzalo Yamamoto, Takahiro S. Garcia-Bellido, Juan Kuroyanagi, Sachiko Nesseris, Savvas Cosmology and Nongalactic Astrophysics Instrumentation and Methods for Astrophysics General Relativity and Quantum Cosmology The search for subsolar mass primordial black holes (PBHs) poses a challenging problem due to the low signal-to-noise ratio, extended signal duration, and computational cost demands, compared to solar mass binary black hole events. In this paper, we explore the possibility of investigating the mass range between subsolar and planetary masses, which is not accessible using standard matched filtering and continuous wave searches. We propose a systematic approach employing the Viterbi algorithm, a dynamic programming algorithm that identifies the most likely sequence of hidden Markov states given a sequence of observations, to detect signals from small mass PBH binaries. We formulate the methodology, provide the optimal length for short-time Fourier transforms, and estimate sensitivity. Subsequently, we demonstrate the effectiveness of the Viterbi algorithm in identifying signals within mock data containing Gaussian noise. Our approach offers the primary advantage of being agnostic and computationally efficient. |
| title | Applying the Viterbi Algorithm to Planetary-Mass Black Hole Searches |
| topic | Cosmology and Nongalactic Astrophysics Instrumentation and Methods for Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2401.02314 |