Bibliography for the Z-Transform

short

 

  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 (Univ of Wisconsin, Dep of Electr & Comput Eng, Madison, WI, USA); 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; 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. 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.
  34. 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.
  35. 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.
  36. Computation Of The Complex Cepstrum By Factorization Of The Z-Transform
    Steiglitz, Kenneth; Dickinson, Bradley
    AGARD Lecture Series, 1977, p 723-726, Compendex.
  37. On the Z-transform of sequences of matrices.
    Raduica, M.
    Univ. Brasov Lucrari Stiin\c t. 17 (1975), 35--38, MathSciNet.  
  38. 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.
  39. Simplified Inverse Z-Transform Expression
    Fletcher, Robert H. Jr.
    IEEE Trans Audio Electroacoust, v AU-21, n 6, Dec, 1973, p 552-554, Compendex.
  40. The indefinite Z-transform technique and application to analysis of difference equations.
    Bahar, E.
    J. Engrg. Math. 6 (1972), 125--132, MathSciNet.  
  41. 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.
  42. Approximate Design of Digital Filters  
    H. H. Robertson
    Technometrics, Vol. 7, No. 3 (Aug., 1965), pp. 387-403, Jstor.   
  43. 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.   
  44. Prony's method, Z-transforms, and Padé approximation.
    Weiss, L.; McDonough, R. N.
    SIAM Rev. 5 1963 145--149, MathSciNet.
  45. 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.  
  46. 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.  
  47. 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