| As one of the main effective means of control low-frequently noise active control has been received much attention from experts all over the world the study of it has been spread up. The active noise control system design has been becoming one of important research contents in the field of the active noise control. Control algorithm has direct effect upon control quality of the adaptive control, its study has been spread out all over the world.So far a great achievement has been reached in the study of adaptive control strategy. Yet it isn't comparatively satisfying, for example, the deficiencies of insufficient and specificity has been shown clearly in it .Therefore it is promising and significant to improve the performance of control algorithm by means of new information analysis . Aimed at this point the control algorithm chosen to be investigated in theory in this paper .On the whole, the work in the paper is made up of the following part: Firstly, the several LMS(Least Mean Square, LMS) algorithms are analyzed and their performance is compared by the simulation results, which offer gist for the improvement of algorithm;combining the Wavelets Adaptive Algorithm with different structure, viz. Decomposition LMS algorithm and Decomposition-Reconstruction LMS algorithm. Theoretically investigation on each algorithm is made in details. In order to achieve the real-time of Wavelet Adaptive Algorithm, the fast use of WALLAT algorithm is brought out in the paper. To study on the performance of Wavelet Adaptive Algorithm, the simulations of system identification with Decomposition LMS algorithm and Decomposition-Reconstruction LMS algorithm are made. The simulations indicate that the performance of Wavelet Adaptive Algorithm is greatly improved, which offer the powerful and efficient method for design of control system.The concept has introduced in the paper based on Filtered-XLMS algorithm of LMS which pointed out that it is the main algorithm in closing space noise active control.
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