Frequency Estimation References

• 1. Akaike [1974] H. Akaike, "A New Look at the Statistical Model Identification," IEEE Transactions on Automatic Control, vol. AC-19, pp. 716-723, IEEE, 1974.

  2. Anderson, James  & Williamson [1992] B. D. O. Anderson , B. James & R. C. Williamson, "Frequency Line Tracking, Extended Kalman Filters and some HMM Problems," Presented at the Workshop on Hidden Markov Models for Tracking, DSTO/CRASys/IEEE, Wirrina Cove Resort, South Australia, 1992.

  3. Anderson & Moore [1979] B. D. O. Anderson and J. B. Moore, "Optimal Filtering", Prentice-Hall, Inc., Englewood Cliffs, New Jersey 07632, 1979.

  4. Bar-Shalom & Fortmann [1988] T. Bar-Shalom and T. E. Fortmann, "Tracking and Data Association", vol. 179, Academic Press, 1988.

  5. Barrett & Holdsworth [1992] R. F. Barrett and D. A. Holdsworth, Frequency Tracking Using Hidden Markov Models With Amplitude and Phase Information, Hidden Markov Models for Tracking Workshop, Cooperative Research Centre for Robust and Adaptive Systems, IEEE, Wirrina Cove Resort, 1992.

  6. Barrett & McMahon [1987] R. F. Barrett and D. R. A. McMahon, ML Estimation of the Fundamental Frequency of a Harmonic Series, the International Symposium of Signal Processing and its Applications, pp. 333-336, 1987.

  7. Bedrosian [1963] E. Bedrosian, A Product Theorem for Hilbert Transforms, Proc. IEEE, vol. 51, pp. 868-869, IEEE, 1963.

  8. Bhaskar Rao & Kung [1984] D. V. Bhaskar Rao and S. Y. Kung, Adaptive Notch Filtering for the Retrieval of Sinusoids in Noise, IEEE Transactions on Acoustics, Speech and Signal Processing, pp. 791-803, 1984.

  9. Bitmead [1982] R. R. Bitmead, On Recursive Discrete Fourier Transformation, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. ASSP-30(2), pp. 319-322, IEEE, 1982.

  10. Bitmead & Anderson [1981] R. R. Bitmead and B. D. O. Anderson, Adaptive Frequency Sampling Filters, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. ASSP-29(3), pp. 684-694, IEEE, 1981.

  11. Bitmead, Tsoi & Parker [1986] R. R. Bitmead, A. C. Tsoi & P. J. Parker, A Kalman Filtering Approach to Short-Time Fourier Analysis, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. ASSP-34(6), pp. 1493-1501, IEEE, 1986.

  12. Boashash [1992a] B. Boashash, Estimating and Interpreting the Instantaneous Frequency -- Part 1: Fundamentals, Proceedings of the IEEE, vol. 80(4), pp. 520-538, IEEE, 1992.

  13. Boashash [1992b] B. Boashash, Estimating and Interpreting the Instantaneous Frequency -- Part 2: Algorithms and Applications, Proceedings of the IEEE, vol. 80(4), pp. 540-568, IEEE, 1992.

  14. Boashash, Lovell & Kootsookos [1989] B. Boashash , B. C. Lovell & P. J. Kootsookos, Time-Frequency Signal Analysis and Instantaneous Frequency Estimation, the International Symposium on Circuits and Systems, pp. 1237-1242, 1989.

  15. Clarkson [1992] V. Clarkson, Efficient Single Frequency Estimators, the International Symposium on Signal Processing and its Applications, pp. 327-330, Gold Coast, 1992.

  16. Clarkson, Kootsookos & Quinn [1994] V. Clarkson , P. J. Kootsookos & B. G. Quinn, Variance Analysis of Kay's Weighted Linear Predictor Frequency Estimator, IEEE Transactions on Signal Processing , vol. 42, 1994, pp. 2370-2379.

  17. Colegrove [1992] S. B. Colegrove, A Unified PDA Tracking Filter with Initiation, Nearest Neighbours and Non-Uniform Clutter, Presented at the Workshop on Hidden Markov Models for Tracking, DSTO/CRASys/IEEE, Wirrina Cove Resort, South Australia, 1992.

  18. Connolly, La Scala & Kootsookos [1997] A.J. Connolly, B.F. La Scala, P.J. Kootsookos, Closed-loop Frequency Tracking and Rejection IFAC Conference on Control of Industrial Systems, Belfort, France, May 1997

  19. Dupuis & Kushner [1987] P. Dupuis and H. J. Kushner, Stochastic Systems with Small Noise, Analysis and Simulation; A Phase Locked Loop Example, SIAM J. Appl. Math., vol. 47(3), pp. 643-661, SIAM, 1987.

  20. Fernandes, Goodwin & de Souza [1987] J. M. Fernandes , G. C. Goodwin & C. E. de Souza, Estimation of Models for Systems Having Deterministic and Random Disturbances, Proceedings of the 10th World Congress on Automatic Control, vol. 10, pp. 370-375, Pergamon Press, Oxford, 1987.

  21. van Hamme [1991] H. van Hamme, A Stochastical Limit to the Resolution of Least Squares Estimation of the Frequencies of a Double Complex Sinusoid, Submitted to the IEEE Transactions on Signal Processing, Preprint, 1991.

  22. Hannan [1973] E. J. Hannan, The Estimation of Frequency, Journal of Applied Probability, vol. 10(3), pp. 510-519, Applied Probability Trust, 1973.

  23. Hannan [1992] E. J. Hannan, Determining the Number of Jumps in a Spectrum, Preprint, 1992.

  24. Hannan & Huang [1993] E. J. Hannan and D. Huang, On Line Frequency Estimation, Preprint, 1993.

  25. Hannan & Quinn [1989] E. J. Hannan and B. G. Quinn, The Resolution of Closely Adjacent Spectral Lines, Journal of Time Series Analysis, vol. 10(1), pp. 13-31, Basil Blackwell Ltd, 1989.

  26. Huang & Hannan [1993] D. Huang and E. J. Hannan, Estimating Time Varying Frequency, Preprint, 1993.

  27. James [1992] B. James, Approaches to Multiharmonic Frequency Tracking and Estimation, Australian National University Ph.D. Thesis, 1992.

  28. James, Anderson & Williamson [1991a] B. James , B. D. O. Anderson & R. C. Williamson, Multiharmonic Frequency Estimation in Noise, Submitted to the IEEE Transactions on Signal Processing, 1991.

  29. James, Anderson & Williamson[1991b] B. James , B. D. O. Anderson & R. C. Williamson, Conditional Mean and Maximum Likelihood Approaches to Multiharmonic Frequency Estimation, Submitted to the IEEE Transactions on Signal Processing, 1991.

  30. James, Anderson & Williamson [1992a] B. James , B. D. O. Anderson & R. C. Williamson, Characterization of Threshold for Single Tone Maximum Likelihood Frequency Estimation, Submitted to the IEEE Transactions on Signal Processing, 1992.

  31. James, Anderson &  Williamson[1992b] B. James , B. D. O. Anderson & R. C. Williamson, Characterization of Threshold for Multiharmonic Maximum Likelihood Frequency Estimation, Submitted to the IEEE Transactions on Signal Processing, 1992.

  32. Karan,  Williamson & Anderson [1994] M. Karan , R. C. Williamson & B. D. O. Anderson, Performance of the Maximum Likelihood Constant Frequency Frequency Estimator for Frequency Tracking, IEEE Transactions on Signal Processing, vol. 42(10), 1994.

  33. Kay [1988] S. M. Kay, Modern Spectral Estimation -- Application and Theory, Prentice Hall, Englewood Cliffs, New Jersey 07632, 1988.

  34. Kay [1989] S. M. Kay, A Fast and Accurate Single Frequency Estimator, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 37(12), pp. 1987-1989, IEEE, 1989.

  35. Kelly & Gupta [1972] C. N. Kelly and S. C. Gupta, The Digital Phase-Locked Loop as a Near-Optimum FM Demodulator, IEEE Transactions on Communications, vol. COM-20, pp. 406-411, IEEE, 1972.

  36. Kootsookos, Lovell & Boashash [1992] P. J. Kootsookos , B. C. Lovell & B. Boashash, A Unified Approach to the STFT, TFDs and Instantaneous Frequency, IEEE Transactions on Signal Processing, vol. 40, pp. 1971-1982, IEEE, 1992.

  37. Kootsookos, & Spanjaard [1998] P.J. Kootsookos and J.M. Spanjaard, An Extended Kalman Filter for Demodulating Polynomial Phase Signals,IEEE Signal Processing Letters, vol. 5(3), March 1998, pp. 69-70.

  38. Lank, Reed & Pollon [1973] G. W. Lank , I. S. Reed & G. E. Pollon, A Semicoherent Detection Statistic and Doppler Estimation Statistic, IEEE Transactions on Aerospace and Electronic Systems, vol. AES-9(2), pp. 151-165, IEEE, 1973.

  39. Lee [1992] H. B. Lee, The Cram\'er-Rao Bound on Frequency Estimates of Signals Closely Spaced in Frequency, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 40(6), pp. 1508-1517, IEEE, 1992.

  40. Ljung & S\"oderstr\"om [1983] L. Ljung and T. S\"oderstr\"om, Theory and Practice of Recursive Identification, MIT Press, Cambridge, 1983.

  41. Lo & Willsky [1975a] J. T.- H. Lo and A. S. Willsky, Estimation for Rotational Processes with One Degree of Freedom -- Part III: Implementation, IEEE Transactions on Automatic Control, vol. AC-20(1), pp. 22-30, IEEE, 1975.

  42. Lo & Willsky [1975b] J. T.- H. Lo and A. S. Willsky, Estimation for Rotational Processes with One Degree of Freedom -- Part II: Discrete-Time Processes, IEEE Transactions on Automatic

  43. Control, vol. AC-20(1), pp. 22-30, IEEE, 1975.

  44. Lo & Willsky [1975c] J. T.- H. Lo and A. S. Willsky, Estimation for Rotational Processes with One Degree of Freedom -- Part I: Introduction and Continuous-Time Processes, IEEE Transactions on Automatic Control, vol. AC-20(1), pp. 10-21, IEEE, 1975.

  45. Lovell, Kootsookos &  Williamson [1990] B. C. Lovell , P. J. Kootsookos & R. C. Williamson, Efficient Frequency Estimation and Time-Frequency Representations, the International Symposium of Signal Processing and its Applications, pp. 170-173, 1990.

  46. Lovell, Kootsookos &  Williamson [1991] B. C. Lovell , P. J. Kootsookos & R. C. Williamson, The Circular Nature of Discrete-Time Frequency Estimates, Proceedings of the International Conference on Acoustics, Speech and Signal Processing, vol. 3, pp. 3369-3372, Toronto, 1991.

  47. Lovell &  Williamson [1992] B. C. Lovell and R. C. Williamson, The Statistical Performance of Some Instantaneous Frequency Estimators, IEEE Transactions on Signal Processing, vol. 40(7), pp. 1708-1723, 1992.

  48. Marple [1987] S. L. Marple, Digital Spectral Analysis With Applications, Prentice-Hall, Englewood Cliffs, New Jersey, 1987.

  49. McMahon & Barrett [1986] D. R. A. McMahon and R. F. Barrett, An Efficient Method for the Estimation of the Frequency of a Single Tone in Noise from the Phases of Discrete Fourier Transforms, Signal Processing, vol. 11, pp. 169-177, North-Holland, 1986.

  50. McMahon & Barrett [1987] D. R. A. McMahon and R. F. Barrett, Generalization of the Method for the Estimation of the Frequencies of Tones in Noise from the Phases of Discrete Fourier Transforms, Signal Processing, vol. 12(4), pp. 371-383, North-Holland, Amsterdam, Amsterdam, 1987.

  51. Musicki, Evans & Stankovic [1992] D. Musicki , R. J. Evans & S. Stankovic, Integrated Probabilistic Data Association, Presented at the Workshop on Hidden Markov Models for Tracking, DSTO/CRASys/IEEE, Wirrina Cove Resort, South Australia, 1992.

  52. Nehorai & Porat [1985] A. Nehorai and B. Porat, Adaptive Comb Filtering for Harmonic Signal Enhancement, the International Conference on Acoustics, Speech and Signal Processing, 1985.

  53. Nehorai & Porat [1986] A. Nehorai and B. Porat, Adaptive Comb Filtering for Harmonic Signal Enhancement, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. ASSP-34(5), pp. 1124-1138, IEEE, 1986.

  54. Nuttall [1966] A. Nuttall, On the Quadrature Approximation to the Hilbert Transform of Modulated Signals, Proc. IEEE, vol. 54, p.1458, IEEE, 1966.

  55. Peleg, Porat & Friedlander [1993] S. Peleg , B. Porat & B. Friedlander, The Achievable Accuracy in Estimating the Instanteous Phase and Frequency of a Constant Amplitude Signal, IEEE Trans. On Signal Processing, vol. 41(6), pp. 2216-2224, 1993.

  56. Pisarenko [1973] V. F. Pisarenko, The Retrieval of Harmonics from a Covariance Function, Geophys. J. Roy. astr. Soc., vol. 33, pp. 347-366, 1973.

  57. Polk & Gupta [1973] D. R. Polk and S. C. Gupta, Quasi-Optimum Digital Phase-Locked Loops, IEEE Transactions on Communications, vol. COM-21, pp. 75-82, IEEE, 1973.

  58. Quinn [1989] B. G. Quinn, Estimating the Number of Terms in a Sinusoidal Regression, Journal of Time Series Analysis, vol. 10(1), pp. 71-75, Basil Blackwell Ltd, 1989.

  59. Quinn [1992a] B. G. Quinn, On Kay's Frequency Estimator, IEEE Transactions on Signal Processing, vol. Submitted, 1992.

  60. Quinn [1992b] B. G. Quinn, Some New High-Accuracy Frequency Estimators, the International Symposium on Signal Processing and its Applications, pp. 323-326, Gold Coast, 1992.

  61. Quinn [1994] B. G. Quinn, Estimating Frequency by Interpolating Using Fourier Coefficients, IEEE Transactions on Signal Processing, vol. 42(5), 1994, pp. 1264.

  62. Quinn, Clarkson, & Kootsookos [1998] B.G. Quinn, V. Clarkson, P.J. Kootsookos, On Handel's Analysis of Kay's Weighted Linear Predictor Frequency Estimator,”IEEE Transactions on Signal Processing, vol. 46(2), pp. 526-527, February 1998.

  63. Quinn & Fernandes [1991] B. G. Quinn and J. M. Fernandes, A fast technique for the estimation of frequency, Biometrika, vol. 78(3), pp. 489-497, 1991.

  64. Quinn, Hannan & Huang [1993] B. G. Quinn , E. J. Hannan & D. Huang, The Estimation of Frequency , In preparation, 1993.

  65. Quinn & Kootsookos [1994] B. G. Quinn and P. J. Kootsookos, Threshold Behaviour of the Maximum Likelihood Estimator of Frequency, IEEE Transactions on Signal Processing , vol. 42, 1994 , pp. 3291—3294.

  66. Rife & Boorstyn [1974] D. C. Rife and R. R. Boorstyn, Single-Tone Parameter Estimation from Discrete-Time Observations, IEEE Transactions on Information Theory, vol. IT-20(5), pp. 591-598, IEEE, 1974.

  67. Rife & Boorstyn [1976] D. C. Rife and R. R. Boorstyn, Multiple Tone Parameter Estimation From Discrete Time Observations, Bell System Technical Journal, vol. 55, pp. 1389-1410, 1976.

  68. Rihaczek [1966] A. Rihaczek, Hilbert Transforms and Complex Represenations of Signals, Proc. IEEE, vol. 54, pp. 434-435, IEEE, 1966.

  69. Starer & Nehorai [1992] D. Starer and A. Nehorai, Newton Algorithms for Conditional and Unconditional Maximum Likelihood Estimation of the Paramters of Exponential Signals in Noise, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 40(6), pp. 1528-1534, 1992.

  70. Streit & Barrett [1990] R. L. Streit and R. F. Barrett, Frequency Line Tracking Using Hidden Markov Models, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 38(4), pp. 586-598, IEEE, 1990.

  71. Tam & Moore [1977] P. K. S. Tam and J. B. Moore, A Gaussian Sum Approach to Phase and Frequency Estimation, IEEE Transactions on Communications, vol. COM-25(9), pp. 935-942, IEEE, 1977.

  72. Ville [1948] J. Ville, Theorie et Applications de la Notion de Signal Analytique, Cables et Transmissions, vol. 2(1), pp. 61-74, 1948.

  73. White [1992] L. B. White, Adaptive Tracking of Frequency Modulated Signals Using HMM, Presented at the Workshop on Hidden Markov Models for Tracking, DSTO/CRASys/IEEE, Wirrina Cove Resort, South Australia, 1992.

  74. Williamson et al. [1994] R. C. Williamson, B. James, B. D. O. Anderson & P. J. Kootsookos, Threshold Effects in Multiharmonic Maximum Likelihood Frequency Estimation, Signal Processing, vol. 39, pp. 309-331, 1994.

  75. Willsky [1974a] A. S. Willsky, Fourier Series and Estimation on the Circle with Applications to Synchronous Communication -- Part II: Implementation, IEEE Transactions on Information Theory, vol. IT-20(5), pp. 584-590, IEEE, 1974.

  76. Willsky [1974b] A. S. Willsky, Fourier Series and Estimation on the Circle with Applications to Synchronous Communication -- Part I: Analysis, IEEE Transactions on Information Theory, vol. IT-20(5), pp. 577-583, IEEE, 1974.

  77. Xie & Evans [1991] X. Xie and R. J. Evans, Multiple Target Tracking and Multiple Frequency Line Tracking Using Hidden Markov Models, IEEE Transactions on Signal Processing, vol. 39, pp. 2659-2676, IEEE, 1991.

  78. Xie & Evans [1993] X. Xie and R. J. Evans, Multiple Frequency Line Tracking with Hidden Markov Models -- Further Results, IEEE Transactions on Signal Processing, vol. 41(1), pp. 334-343, IEEE, 1993.

  79. Yakowitz [1992] S. Yakowitz, Asymptotic Theory for a Fast Frequency Detector, Preprint, 1992.

Additional references since the comparison paper.

• 1. B. F. La Scala and R.R. Bitmead, 'Design of an Extended Kalman Filter Frequency Tracker' IEEE Transactions on Signal Processing, Vol. 44, No. 3, 1996.

  2. B. F. La Scala, R.R. Bitmead and B.G. Quinn,  'An Extended Kalman Filter Frequency Tracker for High-Noise Environments' IEEE Transactions on Signal Processing, Vol. 44, No. 2, 1996.

  3. B. F. La Scala, R.R. Bitmead and M. R. James, 'Conditions for the Stability of the Extended Kalman Filter and their Application to the Frequency Tracking Problem' Mathematics of Control, Signals and Systems, Vol. 8, No. 1, 1995.

Links accurate as at 13-Aug-2005. Please e-mail Dr Peter J. Kootsookos if there are any inaccuracies.