Everything about Bispectrum

🧭 Start here: a 6-step reading path

1. Read the overview: BispectrumA 5-minute orientation
2. Skim a recent paper: Cosmology with the redshift-space galaxy bispectrum monopole at one-loop orderInfluential work since 2022
3. Pick up a classic book: Probing The Early Universe With The Cmb Scalar Vector And Tensor BispectrumThe most-reprinted book on the subject
4. Read the landmark paper: Bispectrum estimation: A digital signal processing frameworkCited 1,088 times
5. Go sideways: PolyspectraA closely related topic
6. Go sideways: BicoherenceA closely related topic

🏆 Landmark papers (most cited)

• Bispectrum estimation: A digital signal processing framework

  C.L. Nikias, M.R. Raghuveer · 1987 · Proceedings of the IEEE · 1,088 citations

• Acoustic signatures in the primary microwave background bispectrum

  Eiichiro Komatsu, David N. Spergel · 2001 · Physical Review D · 897 citations

• Development and Clinical Application of Electroencephalographic Bispectrum Monitoring

  Jay W. Johansen, Peter S. Sebel, Dennis M. Fisher · 2000 · Anesthesiology · 429 citations

• Cosmological parameters from lensing power spectrum and bispectrum tomography

  Masahiro Takada, Bhuvnesh Jain · 2004 · Monthly Notices of the Royal Astronomical Society · 337 citations

• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies

  Héctor Gil-Marín, Will J. Percival, Licia Verde · 2016 · Monthly Notices of the Royal Astronomical Society · 327 citations

• Deriving the Nonlinear Cosmological Power Spectrum and Bispectrum from Analytic Dark Matter Halo Profiles and Mass Functions

  Chung‐Pei Ma, J. N. Fry · 2000 · The Astrophysical Journal · 317 citations

• The Bispectrum as a Signature of Gravitational Instability in Redshift Space

  Roman Scoccimarro, H. M. P. Couchman, Joshua A. Frieman · 1999 · The Astrophysical Journal · 270 citations

• BOSS DR12 full-shape cosmology: ΛCDM constraints from the large-scale galaxy power spectrum and bispectrum monopole

  Oliver H. E. Philcox, Mikhail M. Ivanov · 2022 · Physical Review D · 265 citations

🆕 Influential since 2022

• Cosmology with the redshift-space galaxy bispectrum monopole at one-loop order

  Oliver H. E. Philcox, Mikhail M. Ivanov, Giovanni Cabass · 2022 · Physical Review D · 92 citations

• PMSM Stator Winding Fault Detection and Classification Based on Bispectrum Analysis and Convolutional Neural Network

  Przemyslaw Pietrzak, Marcin Wolkiewicz, Teresa Orlowska-Kowalska · 2023 · IEEE Transactions on Industrial Electronics · 88 citations

• Precision analysis of the redshift-space galaxy bispectrum

  Mikhail M. Ivanov, Oliver H. E. Philcox, Takahiro Nishimichi · 2022 · Physical Review D · 88 citations

• Cosmology with the galaxy bispectrum multipoles: Optimal estimation and application to BOSS data

  Mikhail M. Ivanov, Oliver H. E. Philcox, Giovanni Cabass · 2023 · Physical Review D · 86 citations

• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure

  Guido D'Amico, Yaniv Donath, Matthew Lewandowski · 2024 · Journal of Cosmology and Astroparticle Physics · 81 citations

📚 Books worth reading

• Probing The Early Universe With The Cmb Scalar Vector And Tensor BispectrumMaresuke Shiraishi · 2012
• 📕Bispectrum and cross-bispectrum analysis of wind and currents off the Oregon coastNeng-chun G. Yao · 1976
• 📕The bispectrum and higher-order spectraP. V. Tryon · 1981
• The Intrinsic Bispectrum of the Cosmic Microwave BackgroundGuido Walter Pettinari · 2015
• 📕The bispectrum and higher-order spectraP. V Tryon · 1981
• The Intrinsic Bispectrum of the Cosmic Microwave BackgroundGuido Walter Walter Pettinari · 2016
• 📕Wave group statistics and bispectrum estimations of short random processesZhenhua Liu · 1993
• 📕On the use of the bispectrum to detect and model non-linearityAdrian Gerard Barnett · 2002

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Polyspectra Polyspectra, also known as higher-order spectra, are frequency-domain statistical quantities that generalize the spectral density (power spectrum) to higher…
• Bicoherence In mathematics and statistical analysis, bicoherence (also known as bispectral coherency) is a squared normalised version of the bispectrum. The bicoherence…
• Spectral density estimation In statistical signal processing, the goal of spectral density estimation (SDE) or simply spectral estimation is to estimate the spectral density (also…
• Spectral density In signal processing, the power spectrum Sxx(f) of a continuous time signal x(t) describes the distribution of power into frequency components f composing…
• Higher-order statistics In statistics, the term higher-order statistics (HOS) refers to functions which use the third or higher power of a sample, as opposed to more conventional…
• Spectrum (physical sciences) In the physical sciences, spectrum describes any continuous range of either frequency or wavelength values. The term initially referred to the range of…
• Cepstrum In Fourier analysis, the cepstrum (/ˈkɛpstrʌm, ˈsɛp-, -strəm/; plural cepstra, adjective cepstral) is the result of computing the inverse Fourier transform…
• Digital signal processing Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide…