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LMS Algorithm

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lightbulbAbout this topic
The LMS (Least Mean Squares) algorithm is an adaptive filter algorithm used in signal processing and control systems. It minimizes the mean square error between the desired signal and the output of the filter by iteratively adjusting the filter coefficients based on the input signal and the error signal.
lightbulbAbout this topic
The LMS (Least Mean Squares) algorithm is an adaptive filter algorithm used in signal processing and control systems. It minimizes the mean square error between the desired signal and the output of the filter by iteratively adjusting the filter coefficients based on the input signal and the error signal.

Key research themes

1. How do variable step-size strategies improve LMS algorithm performance and stability?

This research theme investigates the design, analysis, and implementation of variable step-size (VSS) mechanisms to enhance the convergence speed, stability, and mean-square error performance of the classical LMS algorithm. It is critical because classical LMS, with fixed step-size, often suffers from a trade-off between convergence speed and steady-state error. VSS algorithms adaptively update the step-size based on error feedback or other statistics, yielding better transient and steady-state behaviors, particularly in dynamic or noisy environments.

Key finding: This work develops a generalized theoretical framework to analyze VSS-LMS algorithms by formulating recursive expressions for mean and mean-square behaviors, assuming independent Gaussian inputs and asymptotic independence of... Read more
Key finding: Proposes a novel VSS diffusion LMS algorithm leveraging the ratio of filtered and windowed squared instantaneous errors for step-size updates, which reduces nonlinear dependence on error power. Theoretical stability,... Read more
Key finding: Introduces an experimentally formulated VSS-LMS approach that updates the step-size by comparing current error to a delayed past error and reduces the step-size by half every ten iterations when error conditions hold.... Read more

2. What architectural modifications and delay schemes enable high-speed or hardware-efficient LMS implementations?

This theme addresses the challenge of implementing LMS algorithms at high sampling rates for real-time applications, particularly on hardware such as VLSI or pipelined architectures. Introducing delays and parallel processing modifies algorithmic timing and computational dependencies. Research on generalized delayed LMS (DLMS) variants explores multiple delay types and their impact on convergence, providing necessary constraints and guidelines for system designers aiming for high-speed, low-complexity, and stable LMS adaptive filters suitable for hardware realization.

Key finding: This study generalizes the classical DLMS algorithm by introducing four types of delays into the LMS architecture to accommodate pipelined hardware implementations. The theoretical analysis and simulations reveal that... Read more

3. How can LMS algorithm variants and adaptive filtering be applied for noise reduction and power quality improvement in engineering systems?

This theme explores practical applications of LMS-based adaptive filtering methods in noise cancellation, industrial measurement fault detection, wireless sensor networks, and power quality enhancement. Modifications and variants such as variable step-size LMS, binormalized data-reusing LMS, and NLMS are examined for their effectiveness in real-world noisy environments. Studies assess convergence speed, steady-state error, and computational efficiency in these applied contexts, highlighting LMS adaptability in improving signal quality and operational reliability.

Key finding: Applies LMS with variable step size (LMS-VSS) for data prediction in wireless sensor networks (WSNs) to reduce transmissions and conserve energy without prior domain knowledge. Tested on real sensor data, results show up to... Read more
Key finding: Evaluates classical LMS, NLMS, and RLS adaptive filters for noise cancellation in industrial measurement systems affected by thermal sensor noise without a reference signal. The study concludes NLMS achieves the best... Read more
Key finding: Develops an LMS-based adaptive noise cancellation approach with variable filter order and step size to optimize convergence speed and stability in speech signal denoising. Simulation results validate that varying adaptation... Read more
Key finding: Implements an adaptive hybrid control of Unified Power Quality Conditioner (UPQC) in a renewable solar-PV microgrid environment utilizing an Adaptive Leaky Least Mean Square (AL_LMS) algorithm combined with Fuzzy Logic.... Read more

All papers in LMS Algorithm

This paper shows results obtained in the Automatic Speech Recognition (ASR) task for a corpus of digits speech files with a determinate noise level immerse. The experiments realized treated with several speech files that contained... more
A new approach for matrix inversion is introduced. The approach is based on vector representation of multiple-input multiple-output (MIMO) channel matrix, in which the channel matrix is described by a linear combination of channel vectors... more
A crucial performance measure in the context of the problem of deconvolution is the level of residual intersymbol interference (ISI), a metric that is classically understood and formulated in terms of an L2-norm perspective. In order to... more
Three Methods are discussed for controlling behavior of Arrays.The first, Schelkunoff Polynomial (Null Placement) uses information on the numbers of nulls hence the number of elements and their excitations coefficient are derived.The... more
This paper introduces several new least mean-square (LMS) algorithms based on error normalization procedure. Different minimization approaches and techniques were used in developing the proposed algorithms. Some of these algorithms are... more
The main theme of this paper is to reduce noise from the noisy composite signal and reconstruct the input signals from the composite signal by designing FIR digital filter bank. In this work, three sinusoidal signals of different... more
A hierarchical design methodology for wide bandwidth photoreceiver front-ends is presented in this paper. We propose a unified approach for both optoelectronic and electronic components in the front-end. This approach enables us to... more
While the LMS algorithm and its normalized version (NLMS), have been thoroughly used and studied. Connections between the Kalman filter and the RLS algorithm have bean established however, the connection between the Kalman filter and the... more
While the LMS algorithm and its normalized version (NLMS), have been thoroughly used and studied, and connections between the Kalman filter and the RLS algorithm have bean established, the connection between the Kalman filter and the LMS... more
In this letter, we propose a novel least-mean-square (LMS) algorithm for filtering speech sounds in the adaptive noise cancellation (ANC) problem. It is based on the minimization of the squared Euclidean norm of the difference weight... more
Gradient descent method is one of the popular methods to train feedforward neural networks. Batch and incremental modes are the two most common methods to practically implement the gradient-based training for such networks. Furthermore,... more
Gradient descent method is one of the popular methods to train feedforward neural networks. Batch and incremental modes are the two most common methods to practically implement the gradient-based training for such networks. Furthermore,... more
Non-negativity constraints arise naturally in many applications such as medical and astronomical imaging. These constraints have been recently exploited in the optical communication field where a projected parallel interference... more
In this paper we study three recursive identification algorithms with respect to their tracking capability and disturbance sensitivity. The algorithms are applied to the identification of time-varying systems with finite impulse response.... more
This paper presented a study of three algorithms, the<br> equalization algorithm to equalize the transmission channel with ZF<br> and MMSE criteria, application of channel Bran A, and adaptive<br> filtering algorithms... more
A major challenge in acoustic feedback cancellation is the strong correlation between the excitation signal and the error signal, caused by the closed electro-acoustic loop. Due to this correlation, the convergence rate of adaptive... more
Time-varying system behavior learning is crucial in the current landscape of machine learning, where statistical behavior often lacks precision. This approach effectively models many real-world scenarios characterized by their... more
I151 P. J. Movlan. "Matrices with positive urincioal minors." Linear [ 4 ( 1 + d e t A ) 2 -(all + a 2 2 ) 2 1982. . .
We would like to express our gratitude towards all the people who have contributed their precious time and effort to help me. Without whom it would not have been possible for us to understand and complete the project. We would like to... more
We proposed a blind dereverberation method based on spectral subtraction by Multi-Channel Least Mean Square (MCLMS) algorithm for distant-talking speech recognition in our previous study . In this paper, we discuss the problems of the... more
We propose a blind dereverberation method based on spectral subtraction using a multi-channel least mean squares (MCLMS) algorithm for distant-talking speech recognition. In a distant-talking environment, the channel impulse response is... more
Adaptive ¯lters have wide range of applications in areas such as echo or interference cancellation, prediction and system identi¯cation. Due to high computational complexity of adaptive ¯lters, their hardware implementation is not an easy... more
It is possible to obtain the porosity and permeability of filter cakes formed during cake filtration by fitting power law type relationships to experimental data. Specifically, local filtration data of the form of pressure and... more
We propose in this paper a new adaptive algorithm, designed to track system impulse responses, characterized by stochastic Markovian time variations. The proposed nonstationary least mean square (NSLMS) algorithm is designed so that it... more
In this paper a modification on Levenberg-Marquardt algorithm for MLP neural network learning is proposed. The proposed algorithm has good convergence. This method reduces the amount of oscillation in learning procedure. An example is... more
In this paper a modification on Levenberg-Marquardt algorithm for MLP neural network learning is proposed. The proposed algorithm has good convergence. This method reduces the amount of oscillation in learning procedure. An example is... more
This paper describes the OCDMA technology (Optical Code Division Multiple Access) focussing on the coherent systems OCDMA. The modelling was done using VPI v7.0 and the results of the simulations are presented. The utility of OCDMA as a... more
Asymmetric digital subscriber lines (ADSLs) employ discrete multitone modulation (DMT) as transmission format, where subcarriers are assigned to the up-and/or downstream transmission direction. To separate up-and downstream signals, the... more
In this paper an analog adaptive filter circuit is presented, their coefficients are adapted with analog LMS algorithm using CMOS HP 0.5um technology. The layout simulation result shows fast convergence speed and low power consumption.... more
In this paper an analog adaptive filter circuit is presented, their coefficients are adapted with analog LMS algorithm using CMOS HP 0.5um technology. The layout simulation result shows fast convergence speed and low power consumption.... more
The conventional algorithms in the echo canceling system have drawback when they are faced with double-talk condition in noisy environment. Since the double-talk and noise signal are exist, then the error signal is contaminated to... more
In this paper, the idea of multi-split adaptive filtering is applied on DFE. The feed-forward and feedback sections in the DFE are divided into parallel sub-filters by imposing separately the symmetry and antisymmetry conditions on the... more
In this paper, we present a novel modification to the standard particle swarm optimization (PSO) technique and illustrate the superiority of the proposed modified technique over other PSO-based techniques, with an application to the... more
Sound radiation of planar radiators such as beams and plates is known to be directly related to the velocity distribution over the structural surface at low frequencies. For example, nonvolumetric modes correspond to poor sound radiators... more
C-slow retiming is a process of automatically increasing the throughput of a design by enabling fine grained pipelining of problems with feedback loops. This transformation is especially appropriate when applied to FPGA designs because of... more
Recently, we have proposed an adaptive channel estimation (CE) scheme using one-tap recursive least square (RLS) algorithm (adaptive RLS-CE), where the forgetting factor is adapted to the changing channel condition by the least mean... more
Face milling is performed on aluminum alloy A96061-T6 at diverse cutting parameters proposed by the design of experiments. Surface roughness is predicted by examining the effects of cutting parameters (CP), vibrations (Vib), and sound... more
EC than conventional nehvorkr. In this paper we address the basic design issues in the EC for IP telephony. We show that classical Least Mean Square (LMS) algorithms are rather inappropriate and offer an alternative solution.
Over the last decade, kernel methods for nonlinear processing have successfully been used in the machine learning community. However, so far, the emphasis has been on batch techniques. It is only recently, that online adaptive techniques... more
This paper proposes a new Least Mean Square (LMS) based algorithm aimed for acoustic echo cancellation. The algorithm is an elaboration of an existing algorithm developed for the Konftel 200 conference phone. The purpose of the algorithm... more
This paper presents a brushless dc motor drive for heating, ventilating and air conditioning fans, which is utilized as the load of a photovoltaic system with a maximum power point tracking (MPPT) controller. The MPPT controller is based... more
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In this paper, we are to develop a second-order LMS-type Volterra filter to reduce distortions of data transmission over analog telephone channels due the channel impulse response and inter-symbol interference (ISI). A novel approach for... more
Abstract—In recent years, Computer Aided Design (CAD) based on Artificial Neural Networks (ANNs) have been introduced for microwave modeling, simulation and optimization. In this paper, the characteristic parameters of edge coupled and... more
In this paper a new adaptive complex digital filter structure is proposed. First, a very low sensitivity second-order complex bandpass (BP) filter section with independent tuning of the central frequency and the bandwidth (BW) is... more
Abstract: The method of steepest-descent is re-visited in continuous time. It is shown that the continuous time version is a vector differential equation the solution of which is found by integration. Since numerical integration has many... more
Two new discrete-time algorithms are presented for tracking variance and reciprocal variance. The closed loop nature of the solutions to these problems makes this approach highly accurate and can be used recursively in real time. Since... more
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