Journal of Engineering Science and Technology Review 10 (2) (2017) 150- 160
Review Article
A Survey with Emphasis on Adaptive filter, Structure, LMS and NLMS Adaptive
Algorithm for Adaptive Noise Cancellation System
Rachana Nagal
1,
*, Pradeep Kumar
2
and Poonam Bansal
3
Department of ECE/ICE, Amity School of Engg and Technology, New Delhi-110061
Received 30 September 2015; Accepted 12 March 2017
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Abstract
This paper discusses the evolution of adaptive filtering, filter structure, adaptive algorithms used for noise cancellation
over the past five decades. The field of adaptive signal processing has been matter of research for over 50-60 years. The
major growth occurred in this field in eighties because of the availability of implementation tools and textbooks.
Adaptive signal processing has made a significant contribution in the last 50 years. The applications of adaptive signal
processing are very appealing because of its properties like low costing, constancy, fidelity, small sizes, and adjustability.
This revolutionary change brought along with the problems of noise and the solution is the design of the adaptive filter.
This paper mainly focused on adaptive filter, and its structure, the Least Mean Square Algorithm (LMS) and Normalized
Least Mean Square Algorithm (NLMS), used for noise cancellation. This paper could serve as a survey for beginners and
as a reference to select the related reference of their field.
Keywords: Adaptive filter, Adaptive filter Structure, Adaptive Algorithm, Least Mean Square algorithm, Noise Cancellation.
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1. Introduction
The designing of electronic system must depend upon the
different type of noise and distortion. The noise can be
added during the process of signal through a channel due to
the slow or fast variations of its properties. As most of the
time the variations are unknown, so it is adaptive filtering
that completely eliminates the signals distortion. So the
adaptive system is something whose structure is adjustable
as per its performance or behaviour. The main quality of the
adaptive model is its time variance and self-adjusting nature.
The adaptive filter with adaptive algorithm finds its
application in adaptive noise cancellation.
The concept behind adaptive noise cancellation is
discussed in the Fig 1 below. An input signal x n passes to
a sensor that also accepts noiseN
!
(n). This noise N0 (n) is
not correlated with the signal. The input signal is mixed with
the noise and forms a noise corrupted signal {Sig n =
x n + N
!
(n)} or the noisy signal. There is a second sensor
which captures noise N
!
(n) which is not related with the
signal but somehow correlated with the first noise
signal N
!
(n). This gives the reference input to the adaptive
noise canceller model. The output y(n) is produced by
filtering the noise N
!
(n) that should be as close as possible
to N
!
(n). The generated outputs get subtracted from the
noise corrupted signal and produce the required signal
d(n) = {Sig(n) – y(n)}. The adaptive filter is an adequate
concept that can be able to adjust its transfer function via an
adaptive algorithm. The adaptive algorithm is to minimize
the error signal. This error signal is feedback to adaptive
filter. The adaptive algorithm now try to minimize this error
signal as minimum as possible. This error signal is an
important parameter to judge the accuracy of algorithm
along with its convergence.
So to design an adaptive noise cancellation system the
points listed below needs to be taken care of:
Fig. 1. Basic Concept of Noise Cancellation
1. The input signals which is being treated by the
adaptive filter.
2. The structure of the filter that shows the
mathematical relation between output and input
signal.
3. Parameters inside the structure that can change the
input output relationship of the filter.
4. The most important is adaptive algorithm, required
to update the parameters of the filter.
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*E-mail address: rachana.nagal@gmail.com
ISSN: 1791-2377 © 2017 Eastern Macedonia and Thrace Institute of Technology. All rights reserved.