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IEEE GEOSCIENCE AND REMOTE SENSING LETTERS 1
Maximum–Minimum Eigen Detector for Ionospheric
Irregularities Over Low-Latitude Region
Swapna Raghunath, Member, IEEE, and D. Venkata Ratnam, Senior Member, IEEE
Abstract— Plasma irregularities are a predominant feature
over the low-latitude ionosphere within 20° north and south of the
geomagnetic equator. The range delay errors introduced in the
global navigation satellite system (GNSS) and in the space-based
augmentation system by the plasma irregularities are difficult
to measure due to the unpredictable nature of ionosphere. This
letter presents a maximum–minimum eigen algorithm that has
been developed for the efficient detection of ionospheric irregu-
larities in the low latitudes. GNSS data were collected from five
stations spread over the Indian terrain for the solar maximum
year of 2013 and real-time detection of plasma irregularities was
performed. The five GNSS stations, namely, Pbr2, Iisc, Guntur,
Hyde, and Lck2 span over the geomagnetic latitudes ranging
from 2.07° N to 17.92° N. The results show a very good correlation
with the equatorial ionospheric disturbances. The occurrence
of plasma irregularities was found to be a maximum at the
ionospheric anomaly crest.
Index Terms— Eigenvalues, equinox, ionospheric irregularities,
plasma bubbles, solar maximum and solstice.
I. I NTRODUCTION
S
TANDALONE global navigation satellite system (GNSS)
is vulnerable to interference and does not fully satisfy the
requirements of precise-positioning services like aircraft navi-
gation, missile guidance, and so on [1]. Space-based augmen-
tation system (SBAS) compensates for the drawbacks of GNSS
by providing ionospheric range delay corrections and integrity
bounds, thus enhancing its availability, accuracy, continuity,
and integrity in civil aviation. The occurrence of equatorial
plasma bubbles and the consequent scintillations even during
geomagnetically quiet periods, cause large amplitude fades
resulting in temporary loss of GNSS and SBAS signal avail-
ability [2]. Paznukhov et al. [3] gave a detailed account of the
dependence of plasma bubble occurrence on local time, season
and longitude over equatorial Africa. Paznukhov et al. [3]
Manuscript received March 23, 2016; revised August 13, 2016, January 11,
2017, and March 7, 2017; accepted March 15, 2017. This work was supported
in part by the NavIC–GAGAN Utilization Programme at the Space Applica-
tions Centre, Ahmedabad, ISRO India, through the project titled Development
of Single Frequency Ionospheric correction and plasma bubble detection
algorithms using GAGAN & NavIC TEC observations under Project NGP-10
and in part by the Department of Science and Technology, New Delhi, India,
through the SR/FST/ESI-130/2013(C) FIST program.
S. Raghunath is with the Department of Electronics and Communica-
tions Engineering, G. Narayanamma Institute of Technology and Science,
Hyderabad 500104, India, and also with Jawaharlal Nehru Technological
University, Hyderabad 500085, India (e-mail: swapna.karnam1@gmail.com).
D. V. Ratnam is with the Department of Electronics and Communications
Engineering, Koneru Lakshmaiah University, Guntur 522502, India (e-mail:
dvratnam@kluniversity.in).
Color versions of one or more of the figures in this letter are available
online at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/LGRS.2017.2687079
reported that the plasma instabilities showed a pronounced
increase after sunset and that the scintillations were stronger
during equinoctial months. Similar reports were published for
Brazil and India, where the plasma bubble generation and
evolution presented a strong dependence on the solar flux and
usually occurred within the window of 18–24 h local time
[4]–[6]. Huang et al. [7] and Chu et al. [8] have demonstrated
a significant increase in the probability of occurrence of
equatorial plasma bubbles during peak activity periods of the
22nd and 23rd solar cycles, respectively.
El-Arini and Lejeune [9] applied a likelihood ratio test for
the detection of ionospheric plasma irregularities that yielded
the maximum probability of detection for a given probability
of false alarm ( P
fa
). Likelihood ratio test requires a complete
knowledge of the probability distribution of the observed para-
meter. In ionospheric irregularity detection, the observation
parameter to be considered is the total electron content (TEC),
which varies randomly during disturbances, without conform-
ing to a particular probability distribution function, causing
the implementation of logarithm of likelihood ratio test to
be extremely tiresome. Raghunath and Ratnam [6] devised
a fast Fourier transform averaging ratio (FAR) algorithm for
the detection of the GNSS satellites that were affected by the
ionospheric plasma density irregularities over the low latitude
region of south India during the 2013 solar maximum. FAR
algorithm suffers from the drawback that it may not be able
to detect the affected satellites when the signals from most of
them are corrupted by the irregularities in the ionosphere [6].
There is a need for a more effective plasma inhomogeneity
detection algorithm over the low latitude ionosphere.
Zeng and Liang [10] developed a maximum–minimum
eigenvalue (MME) detection algorithm for spectrum
sensing in cognitive radio. Later, Liu et al. [11] and
Abed and Shahzadi [12] proposed variations to the MME
algorithm for the detection of available channels in cognitive
radio problems. The presence of energy or signal in a channel
is found by computing the ratio of the maximum to the
minimum eigenvalue of the received signal covariance matrix
and comparing it with a threshold. The presence of a stronger
signal in the channel has higher probability of exceeding the
threshold as opposed to a weak signal or no signal. In signal
processing problems eigen decompositions are usually applied
to covariance matrices wherein the eigenvalues are a measure
of the magnitude of variance in the data. In this letter,
the MME algorithm has been adapted for the detection of
the irregularities in the ionospheric plasma. An ionospheric
plasma irregularity is detected by considering the decision
criterion as the ratio of the maximum eigenvalue to the
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