Bibliography for the Hilbert Transformation

unabridged

 

  1. Spectral Estimates For The Commutator Of Two-Dimensional Hilbert Transformation And The Operator Of Multiplication With A C1 Function  PDF  
    M.R. Dostani
    Rocky Mountain Journal Of Mathematics, Volume 34, Number 1, pp. 125--137, Spring 2004, MathSciNet.  
  2. Real-time infrared determination of photoinitiated copolymerization reactivity ratios: Application of the Hilbert transform and critical evaluation of data analysis techniques
    Jansen, Johan F.G.A.; Houben, Erwin E.J.E.; Tummers, Peter H.G.; Wienke, Dietrich; Hoffmann, John  
    Macromolecules, v 37, n 6, Mar 23, 2004, p 2275-2286, Compendex.
  3. Generalized Hilbert transform and its applications in geophysics
    Luo, Yi; Al-Dossary, Saleh; Marhoon, Maher; Alfaraj, Mohammad  
    Leading Edge (Tulsa, OK), v 22, n 3, March, 2003, p 198-202, Compendex.
  4. Orthogonal Hilbert transform filter banks and wavelets
    Van Spaendonck, Rutger; Blu, Thierry; Baraniuk, Richard; Vetterli, Martin  
    ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v 6, 2003, p 505-508, Compendex.
  5. Cubic nonlinear coupling estimation using Hilbert transform and cyclic statistics in correlative multiplicative noise
    Dou, Huijing; Wang, Shuxun; Wang, Fei  
    Proceedings of the IASTED International Conference on Wireless and Optical Communications, v 3, 2003, p 501-505, Compendex.
  6. Conversao DSB/SSB a capacitores chaveados usando transformadores de Hilbert recursivos (DSB/SSB conversion to switched capacitors using recursive Hilbert transformers)
    Gomes, Jose Gabriel R.C.; Petraglia, Antonio  
    Controle and Automacao, v 14, n 2, April/June, 2003, p 208-220 Language: Portuguese, Compendex.
  7. Hilbert-wavelet transform for recognition of image rotation
    Iftekharuddin, Khan M.; Shaik, Jahangheer S.; Awwal, Abdul A.S.; Alam, Mohammad S.  
    Proceedings of SPIE - The International Society for Optical Engineering, v 4788, 2002, p 147-158, Compendex.
  8. Measuring mode shapes with a continuously scanning laser vibrometer - Hilbert transform approach
    Kang, M.S.; Stanbridge, A.B.; Chang, T.G.; Kim, H.S.  
    Mechanical Systems and Signal Processing, v 16, n 2-3, March, 2002, p 201-210, Compendex.
  9. Discrete Hilbert transformation and its application to estimate the wind speed in Hong Kong
    Zhu Z.; Yang H.
    Journal of Wind Engineering and Industrial Aerodynamics, January 2002, vol. 90, no. 1, pp. 9-18(10), Ingenta.  
  10. An analog sampled-data DSB to SSB converter using recursive Hilbert transformer for accurate I and Q channel matching
    Gomes, Jose Gabriel R.C.; Petraglia, Antonio  
    IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, v 49, n 3, March, 2002, p 177-187, Compendex.
  11. Imaging Hilbert-transformed ultrasonic data
    Chang, Y.-F.; Chen, S.-C.  
    Research in Nondestructive Evaluation, v 13, n 2, 2001, p 97-103, Compendex.
  12. Interferometric displacement tracking based on Hilbert transform processing
    Harkin, J.P.; Flavin, D.A.  
    Proceedings of SPIE - The International Society for Optical Engineering, v 4204, 2001, p 89-98, Compendex.
  13. Analysis of the instantaneous phase signal of a FMRI time series via the Hilbert transform
    Laird, Angela; Carew, John; Meyerand, M. Elizabeth  
    Conference Record of the Asilomar Conference on Signals, Systems and Computers, v 2, 2001, p 1677-1681, Compendex.
  14. Hilbert transform and mirror-image optical correlators
    McAulay, Alastair D.   
    Applied Optics, v 39, n 14, May 10, 2000, p 2300-2309, Compendex.
  15. Binary object representation and recognition using the Hilbert morphological skeleton transform
    El-Kwae, Essam A.; Kabuka, Mansur R.  
    Pattern Recognition, v 33, n 10, Oct, 2000, p 1621-1636, Compendex.
  16. Design of optimal minimum-phase digital FIR filters using discrete Hilbert transforms
    Damera-Venkata, Niranjan ; Evans, Brian L.; McCaslin, Shawn R.  
    IEEE Transactions on Signal Processing, v 48, n 5, May, 2000, p 1491-1495, Compendex.
  17. Verhalten der Cauchy-Transformation und der Hilbert-Transformation für auf dem Einheitskreis stetige Funktionen. (German)
    [Behavior of the Cauchy transform and the Hilbert transform for functions that are continuous on the unit circle]
    Boche, Holger
    Arch. Math. (Basel) 75 (2000), no. 5, 349--357, MathSciNet.  
  18. Acceleration of two-dimensional time domain integral equation solvers using a Hilbert transform
    Wang, Jianguo; Lu, Mingyu; Michielssen, Eric  
    IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), v 2, 1999, p 1354-1357, Compendex.
  19. Numerical computation of the complex dielectric permittivity using Hilbert transform and FFT techniques
    Castro, Francisco; Nabet, Bahram  
    Journal of the Franklin Institute, v 336, n 1, Jan, 1999, p 53-64, Compendex.
  20. Design and multiplierless realization of maximally flat FIR digital Hilbert transformers
    Samadi, Saed; Igarashi, Yoshihito; Iwakura, Hiroshi  
    IEEE Transactions on Signal Processing, v 47, n 7, 1999, p 1946-1953, Compendex.
  21. Analysis and correction of the phase error caused by application of the Hilbert transform to demodulation of fringe patterns with linear and radial carrier frequencies
    Kozlowski, Janusz; Bonagila, Stefano; Khrabatyn, Roman  
    Proceedings of SPIE - The International Society for Optical Engineering, v 3744, 1999, p 279-283, Compendex.
  22. Parametric modeling approach to Hilbert transformation
    Rao, A.; Kumaresan, R.  
    IEEE Signal Processing Letters, v 5, n 1, Jan, 1998, p 15-17, Compendex.
  23. Skewed 2D Hilbert transforms and computed AM-FM models
    Havlicek, Joseph P.; Havlicek, John W.; Mamuya, Ngao D.; Bovik, Alan C.  
    IEEE International Conference on Image Processing, v 1, 1998, p 602-606, Compendex.
  24. Digital Hilbert transformers composed of identical allpass subfilters
    Johansson, Hakan (Linkoping Univ); Wanhammar, Lars  
    Proceedings - IEEE International Symposium on Circuits and Systems, v 5, 1998, p V-437-V-440, Compendex.
  25. The connection between the Riemann-Hilbert transformation and the Poisson bracket for Lax-pair systems
    Ge M.-L.; Kang X.
    Physics Letters A, 16 February 1998, vol. 238, no. 6, pp. 344-348(5), Ingenta.  
  26. Design of FIR Hilbert transformers and differentiators in the complex domain
    Komodromos, Michael Z.; Russell, Steve F.; Tang, Ping Tak Peter  
    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, v 45, n 1, Jan, 1998, p 64-67, Compendex.
  27. Numerical computation of the complex dielectric permittivity: FFT-based Hilbert transform approximation of the Kramers-Kronig relations
    Castro, Francisco; Nabet, Bahram  
    Annual Review of Progress in Applied Computational Electromagnetics, v 1, 1998, p 173-178, Compendex.
  28. Second-order active bandpass filter with complex coefficients and its applications to the Hilbert transform
    Zhang, Xiaoxing; Shinada, Yuji  
    Electronics & Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), v 79, n 6, Jun, 1996, p 13-22, Compendex.
  29. Analysis and classification of interictal spike discharges in benign partial epilepsy of childhood on the basis of the Hilbert transformation
    Hoffmann K.; Feucht M.; Witte H.; Benninger F.; Bolten J.
    Neuroscience Letters, 28 June 1996, vol. 211, no. 3, pp. 195-198(4), Ingenta.  
  30. The Hilbert transformation and exponential integral estimates for rectangular partial sums of double Fourier series. (Russian)
    Karagulyan, G. A.
    Mat. Sb. 187 (1996), no. 3, 55--74; translation in Sb. Math. 187 (1996), no. 3, 365--384, MathSciNet.  
  31. Linear hysteretic damping and the Hilbert transform
    Inaudi, Jose A.; Kelly, James M.  
    Journal of Engineering Mechanics, v 121, n 5, May, 1995, p 626-632, Compendex.
  32. Frequency analysis of visual evoked potentials based on the Hilbert transformation
    Nogawa H.; Katayama K.; Nogawa T.
    Electroencephalography and Clinical Neurophysiology/ Electromyography and Motor Control, September 1995, vol. 97, no. 4, pp. 101-101(1), Ingenta.  
  33. On the generation of complex susceptibility data through the use of the Hilbert transform  
    P. C. Fannin; A. Molina; S. W. Charles  
    J. Phys. D: Appl. Phys. 26, (1993), pp. 2006-2009
  34. Time domain analysis of lossy multi-conductor transmission lines using the Hilbert transform
    Rahal Arabi, Tawfik; Suarez-Gartner, Ricardo  
    IEEE MTT-S International Microwave Symposium Digest, v 2, Digest IEEE MTT-S International Symposium Digest, 1993, p 987-990, Compendex.
  35. Design of two-dimensional Allpass filters using Hilbert transform
    Toyoshima, Hisamichi; Takahashi, Shin-ich  
    Electronics & Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), v 76, n 11, Nov, 1993, p 79-90, Compendex.
  36. Some properties of Hilbert transformations, conjugate functions and Bochner-Riesz spherical means. (Russian)
    Tkebuchava, G. E.
    Izv. Vyssh. Uchebn. Zaved. Mat. 1993 , no. 2, 88--89; translation in Russian Math. (Iz. VUZ) 37 (1993), no. 2, 85--86, MathSciNet.  
  37. On the group aspects of Riemann-Hilbert transformations.
    Lü, Jing Fa; Ge, Mo Lin; Liu, Chao
    J. Math. Phys. 33 (1992), no. 1, 56--63, MathSciNet.  
  38. On the use of the Hilbert transform for processing measured CW data
    Tesche, Frederick M.   
    IEEE Transactions on Electromagnetic Compatibility, v 34, n 3 pt I, Aug, 1992, p 259-266, Compendex.
  39. Application of a short-time DFT to a Hilbert transformer
    Kishi, Masahichi   
    Electronics & Communications in Japan, Part I: Communications (English translation of Denshi Tsushin Gakkai Ronbunshi), v 75, n 5, May, 1992, p 13-22, Compendex.
  40. On conjugate functions and Hilbert transformations of several variables. (Russian)
    Tkebuchava, G. E.
    Soobshch. Akad. Nauk Gruzii 144 (1991), no. 3, 345--347 (1992), MathSciNet.
  41. Hilbert transform relations for complex signals
    Reddy, G.R.; Swamy, M.N.S.  
    Signal Processing, v 22, n 2, Feb, 1991, p 215-219, Compendex.
  42. An efficient technique for the time domain analysis of multi-conductor transmission lines using the Hilbert transform
    Arabi, Tawfik Rahal; Murphy, Arthur T.; Sarkar, Tapan K.  
    IEEE MTT-S International Microwave Symposium Digest, v 1, 1991, p 185-188, Compendex.
  43. Assessing the accuracy of wideband electrical data using Hilbert transforms
    James, J.R.; Andrasic, G.  
    IEE Proceedings, Part H: Microwaves, Antennas and Propagation, v 137, n 3, Jun, 1990, p 184-188, Compendex.
  44. Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting
    Kollar, Istvan; Pintelon, Rik; Schoukens, Johan  
    IEEE Transactions on Instrumentation and Measurement, v 39, n 6, Dec, 1990, p 847-852, Compendex.
  45. Optimal FIR and IIR Hilbert transformer design via LS and minimax fitting
    Kollar, I.; Pintelon, R.; Schoukens, J.  
    IEEE Instrum Meas Technol Conf, 1990, p 240-243, Compendex.
  46. The Riemann-Hilbert transformation for an approach to a representation of the Virasoro group.
    Li, Wei; Hou, Bo Yu
    J. Math. Phys. 30 (1989), no. 6, 1198--1204, MathSciNet.  
  47. Computation of discrete Hilbert transform through fast Hartley transform
    Pei, Soo-Chang; Jaw, Sy-Been  
    IEEE Transactions on Circuits and Systems, v 36, n 9, Sep, 1989, p 1251-1252, Compendex.
  48. A new approach to the linear prediction problem for infinite stationary processes in terms of Riemann-Hilbert transformation theory.
    Nakamura, Yoshimasa
    IMA J. Math. Control Inform. 6 (1989), no. 3, 347--358, MathSciNet.  
  49. On the Hilbert transformation along some planar curves in a neighborhood of infinity. (Russian)
    Margulis, V. A.
    Geometric problems in the theory of functions and sets (Russian), 49--53, Kalinin. Gos. Univ., Kalinin, 1989, MathSciNet.  
  50. Infinite conformal symmetries and the Riemann-Hilbert transformation in the super principal chiral model. (Chinese)
    Hao, San Ru; Li, Wei
    High Energy Phys. Nuclear Phys. 13 (1989), no. 4, 320--327, MathSciNet.  
  51. Wave group analysis by the Hilbert transform
    Hudspeth, Robert T.; Medina, Josep R.  
    Twenty First Coastal Eng Conf, 1988, p 884-898, Compendex.
  52. On the inversion of the even and odd Hilbert transformations.
    Heywood, P.; Rooney, P. G.
    Proc. Roy. Soc. Edinburgh Sect. A 109 (1988), no. 3-4, 201--211, MathSciNet.  
  53. Hilbert transformation of Beurling ultradistributions.
    Pilipovi'c, S.
    Rend. Sem. Mat. Univ. Padova 77 (1987), 1--13, MathSciNet.  
  54. The multidimensional Hilbert transformation. (Russian)
    Bitsadze, A. V.
    Dokl. Akad. Nauk SSSR 293 (1987), no. 5, 1039--1041, MathSciNet.  
  55. On the Riemann-Hilbert transformations for a Galilean invariant system.
    Nakamura, Yoshimasa
    Ann. Mat. Pura Appl. (4) 144 (1986), 219--227, MathSciNet.  
  56. Two-Dimensional Phase Retrieval Using The Logarithmic Hilbert Transform And The Estimation Technique Of Zero Information
    Nakajima, N.; Asakura, T.  
    Journal of Physics D: Applied Physics, v 19, n 3, Mar 14, 1986, p 319-331, Compendex.
  57. Reconstruction Of Propagating Complex Wave Fields Using The Hilbert-Hankel Transform
    Wengrovitz, Michael S.; Oppenheim, Alan; Frisk, George V.  
    Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, 1986, p 2875-2878, Compendex.
  58. Patterns In Hilbert Transforms And Wigner-Ville Distributions Of Electrocardiogram Data
    Abeysekera, R. M. S. S.; Bolton, R. J.; Westphal, L. C.; Boashash, B.  
    Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, 1986, p 1793-1796, Compendex.
  59. The four-dimensional anti-self-dual equation and the Riemann-Hilbert transformation. (Chinese)
    Zheng, Zhe Zhu; Lin, Jin Hu
    Phys. Energi. Fort. Phys. Nuclear. 10 (1986), no. 4, 434--437, MathSciNet.  
  60. Ecg Display And Qrs Detection Using The Hilbert Transform
    Bolton, R. J.; Westphal, L. C.  
    Computers in Cardiology, 1985, p 463-466, Compendex.
  61. Fast Hilbert Transform And Spectrum In Signalanalytic Applications
    Rauch, Adam   
    Proceedings of the International Modal Analysis Conference & Exhibit, v 2, 1985, p 1107-1114, Compendex.
  62. Novel Realization Of Hilbert Transformer Using Complex Wave Digital Filters
    Huang, Dawei   
    North-Holland, 1985, p 492-495, Compendex.
  63. Hilbert Transform
    Thrane, N.  
    Brueel & Kjaer Technical Review, n 3, 1984, p 3-15, Compendex.
  64. Chun Rong The H-transformation and the corresponding Riemann-Hilbert transformation in a superchiral model. (Chinese)
    Ge, Mo Lin; Luo,
    Lanzhou Daxue Xuebao 20 (1984), no. 2, 1--9, MathSciNet.  
  65. Analogue Hilbert Transformer For Complex Waveform Detection
    Manes, G. F.   
    Ultrasonics, v 21, n 5, Sep, 1983, p 211-214, Compendex.
  66. Study Of The Algorithm In The Phase Retrieval Using The Logarithmic Hilbert Transform
    Nakajima, N.; Asakura, T.  
    Optics Communications, v 41, n 2, Mar 15, 1982, p 89-94, Compendex.
  67. Quelques inégalités concernant les transformées de Hilbert des fonctions à valeurs vectorielles. (French)
    [Some inequalities concerning Hilbert transformations of vector-valued functions]
    Virot, Bernard
    C. R. Acad. Sci. Paris Sér. I Math. 293 (1981), no. 9, 459--462, MathSciNet.  
  68. Some Theory And Applications Of The Relationship Between The Real And Imaginary Parts Of A Frequency Response Function Provided By Hilbert Transforms
    Goyder, H. G. D.   
    Ammonia Plant Safety (and Related Facilities), v 1, 1980, p 89-97, Compendex.
  69. Two-Dimensional Discrete Hilbert Transform And Computational Complexity Aspects In Its Implementation
    Bose, N. K.; Prabhu, K. A.  
    IEEE Transactions on Acoustics, Speech, and Signal Processing, v ASSP-27, n 4, Aug, 1979, p 356-360, Compendex.
  70. A singular integral operator related to the one-sided Hilbert transformation.
    Costabel, Martin
    Integral Equations Operator Theory 1 (1978), no. 2, 137--151, MathSciNet.  
  71. Die schnelle Hilbert-Transformation. (German) Nachrichtentech.
    Rösler, R.
    Elektronik 26 (1976), no. 2, 47--48, MathSciNet.  
  72. The Hilbert transformation in moduli of smoothness. (Russian)
    Abdinova, A. B.; Gusei nov, E. T.
    Izv. Akad. Nauk Azerba\u\i d\v zan. SSR Ser. Fiz.-Tehn. Mat. Nauk 1976, no. 5, 67--71, MathSciNet.  
  73. On Tricomi's relation for the Hilbert transformation.
    Rooney, P. G.
    Glasgow Math. J. 16 (1975), no. 1, 52--56, MathSciNet.  
  74. Die schnelle diskrete Hilbert-Transformation. (German)
    Rösler, Rolf
    Numerische Methoden in der Geophysik (Zweites Sympos., Tharandt, 1975), pp. 73--79. Geofyzikální ÛstavCesk. Akad. Ved. Prague, 1976, MathSciNet.  
  75. Approximation Of The Hilbert Transform By A Transversal Filter
    Hoege, Harald  
    Siemens Forschungs- und Entwicklungsberichte/Siemens Research and Development Reports, v 3, n 3, 1974, p 166-169, Compendex.
  76. Die Bedeutung der Hilbert-Transformation in der Nachrichtentechnik. (German)
    Leuthold, Peter E.
    Sci. Electr. 20 (1974), 127--157, MathSciNet.  
  77. Hilbert transformation for discrete data.
    Kak, Subhash C.
    Internat. J. Electron. 34 (1973), 177--183, MathSciNet.  
  78. Hilbert Transform Relations For Products
    Gain, Gerald D.  
    Proceedings of the IEEE, v 61, n 5, May, 1973, p 663-664, Compendex.
  79. Hilbert transformation of densities of states using Hermite functions.
    Afshar, R.; Mueller, F. M.; Shaffer, J. C.
    J. Computational Phys. 11 (1973), 190--209, MathSciNet.  
  80. Hilbert-Transform Description Of Linear Filtering
    Cain, G. D.  
    Electronics Letters, v 8, n 15, Jul 27, 1972, p 380-382, Compendex.
  81. Regeln für eine vereinfachte Hilbert-Transformation. (German)
    Fritzsche, Gottfried
    Wiss. Z. Hochsch. Verkehrswesen "Friedrich List" Dresden 17 (1970), 253--259, MathSciNet.  
  82. Transversalfilter zur Hilbert-Transformation. (German)
    Herrmann, Otto
    Arch. Elek. Übertr. 23 1969 581--587, MathSciNet.  
  83. Koppelman, W.; Pincus, J. D.
    Spectral representations for finite Hilbert transformations.
    Math. Z. 71 1959 399--407, MathSciNet.  
  84. On properties of certain classes of continuous functions under a Hilbert transformation in En. (Russian)
    Gegelia, T. G.
    Soobsc. Akad. Nauk Gruzin. SSR. 19 1957 no. 3, 257--261, MathSciNet.  
  85. Zur Theorie der endlichen Hilbert-Transformation. (German)
    Söhngen, Heinz
    Math. Z. 60, (1954). 31--51, MathSciNet.  
  86. Algebraisierung der endlichen Hilbert- Transformation. (German)
    Söhngen, H.
    Z. Angew. Math. Mech. 33, (1953). 280--281, MathSciNet.  
  87. On the finite Hilbert transformation.
    Tricomi, F. G.
    Quart. J. Math., Oxford Ser. (2) 2, (1951). 199--211, MathSciNet.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006