Bibliography for the Z-Transform

unabridged

 

  1. Applied Laplace transforms and Z-transforms for scientists and engineers.
    Graf, Urs
    A computational approach using a Mathematica package. Birkhäuser Verlag, Basel, 2004. x+500 pp., MathSciNet.  
  2. Z-transform theory and FDTD stability.
    Abdijalilov, Kakhkhor; Grebel, Haim
    IEEE Trans. Antennas and Propagation 52 (2004), no. 11, 2950--2954, MathSciNet.  
  3. Application of the Z-transform technique to modelling linear lumped loads in the FDTD
    Abd El-Raouf, H.E. (Elec. Magnet. Commun. Laboratory, Pennsylvania State University); Yu, W.; Mittra, R.
    IEE Proceedings: Microwaves, Antennas and Propagation, v 151, n 1, February, 2004, p 67-70, Compendex.
  4. On the Z-transform and the nonhomogeneous linear difference equations.
    Taher, R. Ben; El Fetnassi, M.; Rachidi, M.
    J. Interdiscip. Math. 7 (2004), no. 3, 297--313, MathSciNet.  
  5. Time-Varying z-Transform for the Analysis of Discrete-Time Linear Time Periodic Systems
    Iturricha A.G.; Sabatier J.; Oustaloup A.
    Journal of Dynamical and Control Systems, July 2003, vol. 9, no. 3, pp. 365-392(28), Ingenta.  
  6. Generalisation of the Dirac-delta impulse extending Laplace and z transform domains
    Corinthios, M.J.  
    IEE Proceedings: Vision, Image and Signal Processing, v 150, n 2, April, 2003, p 69-81, Compendex.
  7. Laplace transform and Z-transform: unification and extension.
    Bohner, Martin; Peterson, Allan
    Methods Appl. Anal. 9 (2002), no. 1, 151--157, MathSciNet.  
  8. Solving the knapsack problem via Z-transform
    Lasserre J.B.; Zeron E.S.
    Operations Research Letters, December 2002, vol. 30, no. 6, pp. 394-400(7), Ingenta.  
  9. Efficient computation of optical disk readout by use of the chirp z transform
    Bakx, Jan L.  
    Applied Optics, v 41, n 23, Aug 10, 2002, p 4897-4903, Compendex.
  10. Quantitative feedback synthesis of sampled-data systems with time-delay by approximate Z-transform
    Lin T.-C.; Wang C.-H.; Teng C.-C.
    ISA Transactions, September 2001, vol. 40, no. 4, pp. 325-332(8), Ingenta.  
  11. Application of the Pade Method to Solving the Noisy Trigonometric Moment Problem: Some Initial Results  
    Riccardo March; Piero Barone
    SIAM Journal on Applied Mathematics, Vol. 58, No. 1 (Feb., 1998), pp. 324-343, Jstor.   
  12. Employing the Z-Transform to Optimize the Calculation of the Synaptic Conductance of NMDA and Other Synaptic Channels in Network Simulations
    Köhn J.; Wörgötter F.
    Neural Computation, 1 October 1998, vol. 10, no. 7, pp. 1639-1651(13), Ingenta.  
  13. Z-transform of the compound action potential
    Pollak, V.A.; Wan, Q.X.
    IEEE Engineering in Medicine and Biology, v 16, n 3, May-Jun, 1997, p 80-84, Compendex.
  14. Numerical Computation of the Moments of a Probability Distribution from Its Transform  
    Gagan L. Choudhury; David M. Lucantoni
    Operations Research, Vol. 44, No. 2 (Mar., 1996), pp. 368-381, Jstor.   
  15. Theory of Complex Function and z Transform
    Itakura, F.
    Denshi Joho Tsushin Gakkai Shi/Journal of the Institute of Electronics, Information and Communications Engineers, v 79, n 7, 1996, p 696, Compendex.
  16. Computational method for obtaining the z-transform from the s-transform
    Dan-Isa, Ado; Atherton, D.P.
    Transactions of the Institute of Measurement and Control, v 17, n 3, 1995, p 107-111, Compendex.
  17. Signal-processing method for evaluating a continuous-level probability function based on few sampled data with roughly digitized level-an application of Z-transform and numerical laplace transform
    Fujita, Yoshifumi; Ohta, Mitsuo; Ezumi, Hiromichi
    Electronics & Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), v 78, n 4, Apr, 1995, p 42-51, Compendex.
  18. New method for modeling complex systems by conversion of the Laplace transform to the Z-transform
    Penn, Eugenia Rasskazova; Schelovanov, Leo
    Singapore ICCS - Conference Proceedings, v 2, 1994, p 850-854, Compendex.
  19. Image reconstruction from zeros of the z-transform
    Parker, Charles R.; Satherley, Brenda L.; Bones, Philip J.
    ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v 5, 1994, p V-465-468, Compendex.
  20. An introduction to the Laplace transform and the Z transform.
    Grove, A. C.
    Prentice Hall, Inc., Englewood Cliffs, NJ, 1991. viii+128 pp., MathSciNet.  
  21. Derivation of efficient CELP coding algorithms using the z-transform approach
    Le Guyader, A.; Di Francesco, R.; Lamblin, C.
    Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, v 1, 1991, p 209-212, Compendex.
  22. Novel implementation of a chirp Z-transform using a CORDIC processor
    Hu, Yu Hen; Naganathan, S.
    IEEE Transactions on Acoustics, Speech, and Signal Processing, v 38, n 2, Feb, 1990, p 352-354, Compendex.
  23. Segmented Chirp Z-transform and its application in spectrum analysis
    Wang, Tien T.  
    IEEE Transactions on Instrumentation and Measurement, v 39, n 2, Apr, 1990, p 318-323, Compendex.
  24. Multidimensional Signal Representation by Zero Crossings: An Algebraic Study  
    Jorge L. Sanz
    SIAM Journal on Applied Mathematics, Vol. 49, No. 1 (Feb., 1989), pp. 281-295, Jstor.   
  25. Cyclic MUSIC algorithms for signal-selective direction estimation  
    Schell, Stephan V.; Calabretta, Robert A.; Gardner, William A.; Agee, Brian G.
    Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, v 4, 1989, p 2278-2281 , Compendex.
  26. Efficient implementation of chirp Z-transform using a Cordic processor
    Hu, Yu Hen (Univ of Wisconsin, Dep of Electr & Comput Eng, Madison, WI, USA); Naganathan, S.
    Conference Record - Asilomar Conference on Circuits, Systems & Computers, v 1, 1988, p 157-160, Compendex.
  27. The multidimensional Z-transform and its use in solution of partial difference equations. Kybernetika (Prague)
    Gregor, Jirí
    Suppl. 24 (1988), no. 1-2, 40 pp., MathSciNet.  
  28. Z-transform theory and applications.
    Vích, Robert, Translated from the Czech by Michal Basch.
    Mathematics and its Applications (East European Series), 16. D. Reidel Publishing Co., Dordrecht, 1987. xii+246 pp., MathSciNet.  
  29. Inversion of Z-transforms by solving appropriately formulated nonconstant coefficient difference equations.
    Fabian, Ellis
    IEEE Trans. Automat. Control 28 (1983), no. 11, 1057--1059, MathSciNet.  
  30. Recursive Fir Digital Filter Design Using A Z-Transform On A Finite Ring
    Murakami, Hideo; Reed, Irving S.; Arcese, Albert
    IEEE Transactions on Acoustics, Speech, and Signal Processing, v ASSP-31, n 5, Oct, 1983, p 1155-1164, Compendex.
  31. An inversion formula between Laplace and Z transforms. (Chinese)
    Yan, Bin Nan; Yuan, Xu Pin
    J. Huazhong Univ. Sci. Tech. 11 (1983), no. 2, 95--98, MathSciNet.
  32. Use of the bilinear Z-transform in implementing digital filters.
    Rankin, Donald W.
    Proceedings of the Twenty-sixth Conference on the Design of Experiments in Army Research, Development and Testing (New Mexico State Univ., Las Cruces, N.M., 1980), pp. 63--84, ARO Rep. 81, 2, U. S. Army Res. Office, Research Triangle Park, N.C., 1981, MathSciNet.  
  33. Primenenie Z-Preobrazovaniya I Polinomov Chebysheva K Analizu Regulyarno-Neodnorodnykh Tsepnykh Skhem
    [Application of Z-Transform and Chebyshev Polynomials to Regularly Nonuniform Chain Circuits]
    Zakharin, V. S.; Kaganov, Z. G.; Medvedeva, L. S.
    Izvestiya Sibirskogo Otdeleniya Akademii Nauk SSSR, Seriya Tekhnicheskikh Nauk, n 8, Jul, 1981, p 143-150 Language: Russian, Compendex.
  34. Real-Time Spectrum Analyser For Ultrasonic Doppler Signals, Using A Chirp-Z-Transform Technique
    Macpherson, P. C.; Meldrum, S. J.; Tunstall-Pedoe, D. S.
    Journal of Medical Engineering & Technology, v 4, n 1, Jan, 1980, p 24-26, Compendex.
  35. Dual Chirp-Z Transform
    Speiser, J. M.; Whitehouse, H. J.
    Proceedings of the Society of Photo-Optical Instrumentation Engineers, v 180, 1979, p 76-79, Compendex.
  36. Constant-Q Analysis Using The Chirp Z-Transform
    Kates, James M.
    Record - IEEE International Conference on Acoustics, Speech & Signal Processing, 1979, p 314-317, Compendex.
  37. Z-Transform Dft Filters And Fft's  
    Bruun, Georg
    IEEE Transactions on Acoustics, Speech, and Signal Processing, v ASSP-26, n 1, Feb, 1978, p 56-63, Compendex.
  38. Computation Of The Complex Cepstrum By Factorization Of The Z-Transform
    Steiglitz, Kenneth; Dickinson, Bradley
    AGARD Lecture Series, 1977, p 723-726, Compendex.
  39. On the Z-transform of sequences of matrices.
    Raduica, M.
    Univ. Brasov Lucrari Stiin\c t. 17 (1975), 35--38, MathSciNet.  
  40. Algorithm For Performing An Inverse Chirp Z-Transform
    Mersereau, Russell M.
    IEEE Transactions on Acoustics, Speech, and Signal Processing, v ASSP-22, n 5, Oct, 1974, p 387-388, Compendex.
  41. Simplified Inverse Z-Transform Expression
    Fletcher, Robert H. Jr.
    IEEE Trans Audio Electroacoust, v AU-21, n 6, Dec, 1973, p 552-554, Compendex.
  42. The indefinite Z-transform technique and application to analysis of difference equations.
    Bahar, E.
    J. Engrg. Math. 6 (1972), 125--132, MathSciNet.  
  43. The application of the Z-transform to the study of the stability of difference schemes. (Russian)
    Smirnova, V. N.
    Theory of oscillations, applied mathematics and cybernetics. Izv. Vys\v s. U\v cebn. Zaved. Radiofizika 15 (1972), no. 11, 1671--1681, MathSciNet.  
  44. On two methods of inversion of Z-transforms.
    Prouza, Ludvík
    Kybernetika (Prague) 5 1969 154--156, MathSciNet.  
  45. Single Matrix Formula For The Closed Form Solution Of The Inverse Z Transform
    Chen C. F.; Shieh L. S.
    Int J Electron, v 27, n 6, Dec, 1969, p 535-48, Compendex.
  46. Approximate Design of Digital Filters  
    H. H. Robertson
    Technometrics, Vol. 7, No. 3 (Aug., 1965), pp. 387-403, Jstor.   
  47. An Alternative Derivation of the z-Transform  
    Aubrey M. Bush; Daniel C. Fielder
    The American Mathematical Monthly, Vol. 70, No. 3 (Mar., 1963), pp. 281-284, Jstor.   
  48. Prony's method, Z-transforms, and Padé approximation.
    Weiss, L.; McDonough, R. N.
    SIAM Rev. 5 1963 145--149, MathSciNet.
  49. Convolution Z-transform method applied to certain nonlinear discrete systems.
    Jury, E. I.; Pai, M. A.
    IRE Trans. AC-7 1962 no. 1, 57--64, MathSciNet.  
  50. A short table of Z-transforms and generating functions.
    Beightler, C. S.; Mitten, L. G.; Nemhauser, G. L.
    Operations Res. 9 1961 574--578, MathSciNet.  
  51. Analysis of Discrete Linear Systems  
    WM. M. Brown
    Journal of the Society for Industrial and Applied Mathematics, Vol. 5, No. 4 (Dec., 1957), pp. 206-224, Jstor.   

 

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(c) John H. Mathews 2006