The baseline wander interference and power-line interference are the major disturbances in the cardiac signals. These interferences are suppressed using the adaptive filtering techniques. Different filter structures are presented to nullify the diverse form of noises. In this paper the constrained stability least mean square (CSLMS) algorithm is proposed which has the distinct feature of minimi...

The pros and cons of a quadratic error measure in the context of various applications have often been discussed. In this tutorial, we argue that it is not only a suboptimal but definitely the wrong choice when describing the stability behavior of adaptive filters. We take a walk through the past and recent history of adaptive filters and present 14 canonical forms of adaptive algorithms and eve...

Abstract. We study mean-square consistency, stability in the mean-square sense and meansquare convergence of drift-implicit linear multi-step methods with variable step-size for the approximation of the solution of Itô stochastic differential equations. We obtain conditions that depend on the step-size ratios and that ensure mean-square convergence for the special case of adaptive two-step Maru...

This paper studies the mean and mean square convergence behaviors of the normalized least mean square (NLMS) algorithm with Gaussian inputs and additive white Gaussian noise. Using the Price’s theorem and the framework proposed by Bershad in IEEE Transactions on Acoustics, Speech, and Signal Processing (1986, 1987), new expressions for the excess mean square error, stability bound and decoupled...

This paper treats the identiication and adaptive control of time-varying linear systems. For linear systems with a Gauss-Markov parameter process a global lower bound on the mean square error is obtained which is valid for any causal parameter estimator. A similar lower bound is obtained for any causal, one step ahead predictor. These bounds are applied to the adaptive control of time-varying s...

A new dynamical model is developed here to study the stochastic stability of Fault Tolerant Control Systems (FTCS) with multiple failure processes. In particular, two independent failure processes with Markovian characteristics are considered: one for plant component failures and the other for actuator failures. In this model, the Fault Detection and Isolation (FDI) process is also formulated a...