Abstract—In many application of noise cancellation, the changes in signal characteristics could be quite fast. This requires the utilization of adaptive algorithms, which converge rapidly. Least Mean Squares (LMS) and Normalized Least Mean Squares (NLMS) adaptive filters have been used in a wide range of signal processing application because of its simplicity in computation and implementation. The Recursive Least Squares (RLS) algorithm has established itself as the "ultimate" adaptive filtering algorithm in the sense that it is the adaptive filter exhibiting the best convergence behavior. Unfortunately, practical implementations of the algorithm are often associated with high computational complexity and/or poor numerical properties. Recently adaptive filtering was presented, have a nice tradeoff between complexity and the convergence speed. This paper describes a new approach for noise cancellation in speech enhancement using the two new adaptive filtering algorithms named fast affine projection algorithm and fast Euclidean direction search algorithms for attenuating noise in speech signals. The simulation results demonstrate the good performance of the two new algorithms in attenuating the noise.

Index Terms—Adaptive Filter, Least Mean Squares, Normalized Least Mean Squares, Recursive Least Squares, Fast Affine Projection, Fast Euclidean Direction Search, Noise Cancellation, and Speech Enhancement.

S. A. Hadei is with the School of Electrical Engineering, Tarbiat Modares University, Tehran, Iran (e-mail: a.hadei@modares.ac.ir).
M. Lotfizad is with the School of Electrical Engineering, Tarbiat Modares University, Tehran, P.O.Box 14115-143, Tehran, Iran. (e-mail: lotfizad@modares.ac.ir).

Cite: Sayed. A. Hadei and M. lotfizad, "A Family of Adaptive Filter Algorithms in Noise Cancellation for Speech Enhancement," International Journal of Computer and Electrical Engineering vol. 2, no. 2, pp. 307-315, 2010.