A feedback approach to the steady-state performance of fractionallyspaced blind adaptive equalizers
IEEE Transactions on Signal Processing
Global convergence of fractionally spaced Godard (CMA) adaptiveequalizers
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Use of the Newton Method for Blind Adaptive Equalization Based on the Constant Modulus Algorithm
IEEE Transactions on Signal Processing - Part II
A Newton-like algorithm for complex variables with applications inblind equalization
IEEE Transactions on Signal Processing
Blind channel approximation: effective channel order determination
IEEE Transactions on Signal Processing
The multimodulus blind equalization and its generalized algorithms
IEEE Journal on Selected Areas in Communications
Equalization and carrier phase recovery of CMA and MMA in blind adaptive receivers
IEEE Transactions on Signal Processing
Blind equalization of square-QAM signals: a multimodulus approach
IEEE Transactions on Communications
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This paper studies the stationary points of the multimodulus blind equalization criterion in a noiseless communication channel and proposes two adaptive Newton algorithms. It is shown in this paper that the stationary points of the multimodulus criterion can be grouped into two categories, according to the power of equalizer output. The stationary points having the same equalizer output power with that of the transmitted symbols are desirable global minima, while the stationary points having less equalizer output power than that of the transmitted symbols are saddle points. A pseudo Newton learning algorithm and a full Newton learning algorithm minimizing the multimodulus criterion are proposed. By using the matrix inversion lemma, both Newton algorithms can be efficiently implemented with a computational complexity of O(N^2), where N is the tap length of equalizer. Computer experiment results are presented. It is found that the full Newton algorithm performs well in both static and time-varying communication channels, while the pseudo Newton algorithm performs well only in static communication channels.