Adaptive algorithms are obligatory for tracking the channel or its inverse in mobile communication systems. Typical are either the Least-Mean-Squares (LMS) algorithm or the Recursive-Least-Squares (RLS) algorithm. Their performance considerably improves when the step-size for LMS (or forgetting factor for RLS) is chosen according to the Doppler speed, that is the speed of a vehicle in which the...

An improved adaptive equalizer based on the principle of minimum mean square error (MMSE) is proposed. This optimization problem which is shown to be convex, is transformed to second-order cone (SOC) and solved using the interior point method instead of conventional iterative methods such as least mean squares (LMS) or recursive least squares (RLS). To validate its performance a single-carrier ...

We show that the celebrated least-mean squares (LMS) adaptive algorithm is Ha optimal. The LMS algorithm has been long regarded as an approximate solution to either a stochastic or a deterministic least-squares problem, and it essentially amounts to updating the weight vector estimates along the direction of the instantaneous gradient of a quadratic cost function. In this paper, we show that LM...

The convergence rate of the Least Mean Squares (LMS) algorithm is poor whenever the adaptive lter input auto-correlation matrix is ill-conditioned. In this paper we propose a new LMS algorithm to alleviate this problem. It uses a data dependent signal transformation. The algorithm tracks the subspaces corresponding to clusters of eigenvalues of the auto-correlation matrix of the input to the ad...

We show that the celebrated LMS (Least-Mean Squares) adaptive algorithm is H 1 optimal. The LMS algorithm has been long regarded as an approximate solution to either a stochastic or a deterministic least-squares problem, and it essentially amounts to updating the weight vector estimates along the direction of the instantaneous gradient of a quadratic cost function. In this paper we show that LM...

| In this paper we exploit the one-to-one correspondences between the recursive least-squares (RLS) and Kalman variables to formulate extended forms of the RLS algorithm. Two particular forms of the extended RLS algorithm are considered, one pertaining to a system identiication problem and the other pertaining to the tracking of a chirped sinusoid in additive noise. For both of these applicatio...

The electrocardiogram (ECG) is the graphical representation of heart’s functionality. It is an important tool used for the diagnosis of cardiac abnormalities. ECG signals are usually weak and susceptible to external noise and interference. Adaptive filter is a good tool to reduce the influence of ambient noise/interference on the ECG signals. Adaptive filter uses Least mean squares (LMS) algori...