Sahu Nagesh Kumar, Mehar Varsha; International Journal of Advance Research, Ideas and Innovations in Technology
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(Volume 4, Issue 5)
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A review of signal parameter estimation techniques
Nagesh Kumar Sahu
raku.mandal80@gmail.com
Bhabha College of Education, Bhopal, Madhya Pradesh
Varsha Mehar
atulmandal93@gmail.com
Bhabha College of Education, Bhopal, Madhya Pradesh
ABSTRACT
Signal Investigation, the signals to be detected usually
include unidentified parameters such as amplitude, time
delay, phase, and frequency; these parameters must be
probable previous to the signal discovery. The techniques
used to approximation these signal parameters can be
broadly confidential into two main categories known as
parametric and non-parametric methods. This paper presents
a review of these signal parameter estimation techniques.
Keywords— Parametric and Non-Parametric methods,
Signal parameter estimation
1. INTRODUCTION
Signal stricture opinion, and hence uncovering, problems are
worried about the examination of received signals to conclude
the deficiency or incidence of a signal of concern; the removal
of in the order in these signals as well as the signal
categorization [1]. These are problems of meaning in
applications such as seismic examination, speech appreciation,
cellular mobile message, biomedical manufacturing, radar, and
sonar signal dispensation. The signals to be detected often
contain unidentified parameters, such as amplitude, time delay,
phase, and frequency; these parameters must be estimated
before any signal detection. To estimate these parameters, a
figure of methods can be useful. Generally, signal parameter
judgment techniques can be classified into two main
categories; namely parametric and non-parametric approaches
[2-4]. An appraisal of several of these signal parameter
estimation methods is presented in this paper.
2. PARAMETRIC AND NON-PARAMETRIC
ESTIMATION TECHNIQUE
In this paper, Non-parametric techniques are Fourier-based
methods of providing ghostly estimates anywhere no previous
replica is unspecified, in the intellect that no assumption is
complete about the bodily procedure that generates a given
data. They are also recognized as the traditional methods of
ghostly opinion. Although this advance of signal stricture
opinion is computationally competent, it though has unfinished
promptness declaration. These methods also suffer from
ghostly leakage belongings that frequently mask weak signals.
Prominent conclusions from these non-parametric techniques
are that there is forever a concession in the bias-variance trade-
off because both of these errors cannot be minimized
concurrently [2-5].
The parametric-based method can although be old to take out a
high-resolution estimate, particularly in an application where
small data minutes are obtainable due to the temporary
phenomenon, provide the signal arrangement is known. These
techniques are also recognized as a model-based method of
ghostly opinion, where a generated model with documented
useful form is unspecified. The parameter in the unspecified
model is then predictable, and a signal’s ghostly individuality
of notice resulting from the predictable model. Therefore, the
predictable spectral individuality is only as good as the
fundamental model. example of these parametric-based
technique comprises the autoregressive (AR) process model
(comprise the Yule-Walker [4, 6] and least squares method [4]
), the moving average (MA) course model, as well as the joint
autoregressive moving average (ARMA) process model [2-4].
The autoregressive process model, such as the Prony
algorithm, is the simplest of the parametric-based techniques.
The Prony algorithm, which models sample data as a linear
mixture of exponentials, is a method that can be used to
identifying the frequencies, amplitudes, and phases of a signal.
Even though the Prony algorithm has the ability to resolve rays
much closer than the Fourier-based limit, it, however, has a
tendency to yield biased estimates.
A further instance, of the parametric-based method, is the
space-alternating general expectation-maximization (SAGE)
algorithm [7]. The SAGE algorithm is a low-complexity
generalization of the expectation-maximization (EM)
algorithm [8]. The EM algorithm is an iterative process used to
calculate an utmost likelihood approximation when an
observed data is regarded as unfinished [9]. The SAGE
algorithm breaks down a multi-dimensional optimization
procedure, essential to calculate the estimates of the parameter
of a gesture, into more than a few separate, low-dimensional
maximization events, which are performed in sequence; thus
reducing the computational cost. In addition, this algorithm
overpowers the decree restraint intrinsic in the Fourier-based
method. Though, the SAGE algorithm depends on the
supposition that a limited recognized number of waves
characterize by their spread delay, complex amplitude, and
azimuthally incidence way is impinge in the neighborhood of a
receiver. Underestimate the number of impinge waves can
result in poor resolution, while over-estimation can give rise to
spurious components in the parameter estimates.