Convergence analysis of the sign algorithm with badly behaved noise

Bucklew, 1993, Weak convergence and local stability properties of fixed step size recursive algorithms, IEEE Trans. Inform. Theory, 30, 966, 10.1109/18.256503 Cho, 1990, Tracking analysis of the sign algorithm in nonstationary environments, IEEE Trans. Acoust. Speech Signal Process., 38, 2046, 10.1109/29.61532 Chow, 1988 Eweda, 1990, Optimum step size of sign algorithm for nonstationary adaptive filtering, IEEE Trans. Acoust. Speech Signal Process., 38, 1897, 10.1109/29.103091 Eweda, 1991, Convergence of the sign algorithm for adaptive filtering with correlated data, IEEE Trans. Inform. Theory, IT-37, 1450, 10.1109/18.133267 Eweda, 1994, Comparison of RLS, LMS, and sign algorithms for tracking randomly time-varying channels, IEEE Trans. Signal Process., 42, 2937, 10.1109/78.330354 Eweda, 1998, Tracking analysis of the sign algorithm without the Gaussian constraint, IEEE Trans. Circuits Systems II: Analog Digital Signal Process., 45, 115, 10.1109/82.659462 Eweda, 1998, Maximum and minimum tracking performances of adaptive filtering algorithms over target weight cross correlations, IEEE Trans. Circuits Systems II: Analog Digital Signal Process., 45, 123, 10.1109/82.659463 Eweda, 2000, Convergence analysis of the sign algorithm without the independence and Gaussian assumptions, IEEE Trans. Signal Process., 48, 2535, 10.1109/78.863056 Gersho, 1984, Adaptive filtering with binary reinforcement, IEEE Trans. Inform. Theory, IT-30, 191, 10.1109/TIT.1984.1056890 Kwong, 1990, Control-theoretic design of the LMS and the sign algorithms in nonstationary environments, IEEE Trans. Acoust. Speech Signal Process., 38, 253, 10.1109/29.103061 Lee, 1986, Performance of transform domain LMS adaptive digital filters, IEEE Trans. Acoust. Speech Signal Process., 34, 499, 10.1109/TASSP.1986.1164850 Macchi, 1995 Marshal, 1989, The use of orthogonal transforms for improving performance of adaptive filters, IEEE Trans. Circuits System, 36, 474, 10.1109/31.92880 Masry, 1995, Convergence analysis of the sign algorithm for adaptive filtering, IEEE Trans. Inform. Theory, 41, 489, 10.1109/18.370150 Mathews, 1987, Improved convergence analysis of stochastic gradient adaptive filters using the sign algorithm, IEEE Trans. Acoust. Speech Signal Process., ASSP-35, 450, 10.1109/TASSP.1987.1165167 Mazo, 1979, On the independence theory of equalizer convergence, Bell System Technical J., 58, 968, 10.1002/j.1538-7305.1979.tb03332.x Verhoeckx, 1984, Some considerations on the design of adaptive digital filters equipped with the sign algorithm, IEEE Trans. Commun., COM-32, 258, 10.1109/TCOM.1984.1096064 Widrow, 1985