Bounds for the MSB performance of constant modulus estimators

IEEE Transactions on Information Theory

Volumn 46, Issue 7, 2000, Pages 2544-2560

  Schniter, Philip ^a   Richard Johnson Jr , C ^b  

^a The Ohio State University   (United States)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

Blind beamforming; Blind deconvolution; Blind equalization; Blind multiuser detection; Constant modulus algorithm; Godard algorithm

Indexed keywords

ALGORITHMS; COMMUNICATION CHANNELS (INFORMATION THEORY); FIR FILTERS; IIR FILTERS; LEAST SQUARES APPROXIMATIONS; WHITE NOISE;

BLIND LINEAR ESTIMATOR; BLIND MULTIUSER DETECTION; CONSTANT MODULUS ESTIMATOR; GODARD ALGORITHM; MEAN SQUARED ERROR; UNBIASED MEAN SQUARED ERROR;

SIGNAL FILTERING AND PREDICTION;

EID: 0034315022     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.887862     Document Type: Article

References (22)

1. O. Shalvi and E. Weinstein, New criteria for blind deconvolution of nonminimum phase systems (channels), IEEE Trans. Inform. Theory, vol. 36, pp. 312-321, Mar. 1990.
2. Y. Li and Z. Ding, Convergence analysis of finite length blind adaptive equalizers, IEEE Trans. Signal Processing, vol. 43, pp. 2120-2129, Sept. 1995.
3. P. Regalia, On the equivalence between the Godard and Shalvi-Weinstein schemes of blind equalization, Signal Processing, vol. 73, no. 1-2, pp. 185-190, Feb. 1999.
4. D. N. Godard, Self-recovering equalization and carrier tracking in twodimensional data communication systems, IEEE Trans. Commun., vol. COM-28, pp. 1867-1875, Nov. 1980.
5. J. R. Treichler and B. G. Agée, A new approach to multipath correction of constant modulus signals, IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-31, pp. 45972, Apr. 1983.
6. C. R. Johnson, Jr., P. Schniter, T. J. Endres, J. D. Behm, D. R. Brown, and R. A. Casas, Blind equalization using the constant modulus criterion: A review, Proc. IEEE (Special Issue on Blind System Identification and Estimation), vol. 86, pp. 1927-1950, Oct. 1998.
7. J. J. Shynk and R. P. Gooch, The constant modulus array for cochannel signal copy and direction finding, IEEE Trans. Signal Processing, vol. 44, pp. 652-660, Mar. 1996.
8. I. Fijalkow, A. Touzni, and J. R. Treichler, Fractionally spaced equalization using CMA: Robustness to channel noise and lack of disparity, IEEE Trans. Signal Processing, vol. 45, pp. 56-66, Jan. 1997.
9. H. H. Zeng, L. Tong, and C. R. Johnson Jr., Relationships between the constant modulus and Wiener receivers, IEEE Trans. Inform. Theory, vol. 44, pp. 1523-1538, July 1998.
10. D. Liu and L. Tong, An analysis of constant modulus algorithm for array signal processing, Signal Processing, vol. 73, pp. 81-104, 1999.
11. Y. Li, K. J. R. Liu, and Z. Ding, Length and cost dependent local minima of unconstrained blind channel equalizers, IEEE Trans. Signal Processing, vol. 44, pp. 2726-2735, Nov. 1996.
12. T. J. Endres, B. D. O. Anderson, C. R. Johnson, Jr., and M. Green, Robustness to fractionally-spaced equalizer length using the constant modulus criterion, IEEE Trans. Signal Processing, vol. 47, pp. 544-549, Feb. 1999.
13. P. Regalia and M. Mboup, Undermodeled equalization: A characterization of stationary points for a family of blind criteria, IEEE Trans. Signal Processing, vol. 47, pp. 760-770, Mar. 1999.
14. H. H. Zeng, L. Tong, and C. R. Johnson, Jr., An analysis of constant modulus receivers, IEEE Trans. Signal Processing, vol. 47, pp. 2990-2999, Nov. 1999.
15. P. Schniter, Blind estimation without priors: Performance, convergence, and efficient implementation," Ph.D. dissertation, Cornell Univ., Ithaca, NY, May 2000.
16. G. J. Foschini, Equalizing without altering or detecting data (digital radio systems), AT&TTech. J., vol. 64, no. 8, pp. 1885-1911, Oct. 1985.
17. L. Tong, A fractionally spaced adaptive blind equalizer, Proc. Conf. Information Science and Systems, Princeton, NJ, Mar. 1992, pp. 711-716.
18. Y Li and Z. Ding, Global convergence of fractionally spaced Godard (CMA) adaptive equalizers, IEEE Trans. Signal Processing, vol. 44, pp. 818-826, Apr. 1996.
19. C. R. Johnson, Jr. et al, The core of FSE-CMA behavior theory," in Unsupervised Adaptive Filtering, Volume 2: Blind Deconvolution, S. Haykin et al., Ed. New York: Wiley, 2000.
20. B. Porat, Digital Processing of Random Signals. Englewood Cliffs, NJ: Prentice-Hall, 1994.
21. D. G. Luenberger, Optimization by Vector Space Methods. New York: Wiley, 1969.
22. W. Rudin, Principles of Mathematical Analysis, 3rd ed. New York: McGraw-Hill, 1976.