Everything about Wigner distribution function

🧭 Start here: a 6-step reading path

1. Read the overview: Wigner distribution functionA 5-minute orientation
2. Skim a recent paper: Scaled ambiguity function and scaled Wigner distribution for LCT signalsInfluential work since 2022
3. Pick up a classic book: Wigner distribution functions in relativistic quantum mechanicsThe most-reprinted book on the subject
4. Read the landmark paper: The wigner distribution function and its optical productionCited 208 times
5. Go sideways: Time–frequency analysis for music signalsA closely related topic
6. Go sideways: Short-time Fourier transformA closely related topic

🏆 Landmark papers (most cited)

• The wigner distribution function and its optical production

  H.O. Bartelt, K.-H. Brenner, A.W. Lohmann · 1980 · Optics Communications · 208 citations

• Wigner distribution function display of complex 1D signals

  K.-H. Brenner, A.W. Lohmann · 1982 · Optics Communications · 85 citations

• The Wigner Distribution Function of Partially Coherent Light

  Martin J. Bastiaans · 1981 · Optica Acta: International Journal of Optics · 65 citations

• Wigner distribution function for finite systems

  Natig M. Atakishiyev, Sergey M. Chumakov, Kurt Bernardo Wolf · 1998 · Journal of Mathematical Physics · 62 citations

• Ambiguity Function and Wigner Distribution Function Applied to Partially Coherent Imagery

  K.-H. Brenner, J. Ojeda-Castañeda · 1984 · Optica Acta: International Journal of Optics · 58 citations

• Wigner distribution function for paraxial polychromatic optics

  Kurt Bernardo Wolf · 1996 · Optics Communications · 50 citations

• Transport Equations for the Wigner Distribution Function

  M.J. Bastiaans · 1979 · Optica Acta: International Journal of Optics · 49 citations

• Wigner phase-space distribution as a wave function

  Denys I. Bondar, Renan Cabrera, Dmitry V. Zhdanov · 2013 · Physical Review A · 48 citations

🆕 Influential since 2022

• Scaled ambiguity function and scaled Wigner distribution for LCT signals

  Aamir H. Dar, M. Younus Bhat · 2022 · Optik · 19 citations

• Modified Ambiguity Function and Wigner Distribution Associated With Quadratic-Phase Fourier Transform

  Tien Minh Lai · 2024 · Journal of Fourier Analysis and Applications · 16 citations

• Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform

  Mohammad Younus Bhat, Ibrahim M. Almanjahie, Aamir H. Dar · 2022 · Demonstratio Mathematica · 12 citations

• Kernel Function-$\tau$-Wigner Distribution Associated With the Linear Canonical Transform

  Zhichao Zhang, Xiya Shi · 2022 · IEEE Signal Processing Letters · 11 citations

• Fault identification, classification, and localization in microgrids using superimposed components and Wigner distribution function

  Hamza Waqar, Syed Basit Ali Bukhari, Abdul Wadood · 2024 · Frontiers in Energy Research · 10 citations

📚 Books worth reading

• 📕Wigner distribution functions in relativistic quantum mechanicsJack H. Irving · 1965
• 📕Wigner distribution function: relation to short-term spectral estimationA. H. Nuttall · 1988
• 📕Wigner distribution functionsFrancis J Narcowich · 1994
• 📕Relativistic Wigner functionsJohn Paul Shepherd · 1974
• Pseudo Wigner-Ville distribution, computer program and its applications to time-frequency domain problemsJae-Jin Jeon · 1993
• The physics of phase spaceInternational Conference on the Physics of Phase Space (1st 1986 University of Maryland) · 1987
• 📕Signal description by means of a local frequency spectrumMartinus Josephus Bastiaans · 1983
• Phase-space opticsMarkus E. Testorf · 2010

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

🔗 Related topics

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