FHSS Signals Classification by Linear
Discriminant in a Multi-signal
Environment
Muhammad Turyalai Khan, Ahmad Zuri Sha’ameri,
Muhammad Mun’im Ahmad Zabidi, and Chun Choon Chia
Abstract Frequency-hopping spread spectrum (FHSS) spreads the signal over a
large bandwidth where the carrier frequencies change quickly according to a pseu-
dorandom number making signal classification difficult. Furthermore, classification
becomes more complex with the presence of additive white Gaussian noise (AWGN)
and interference due to background signals. In this paper, a linear discriminant (LD)
method based on the Euclidean distance is proposed for the classification of FHSS
signals in the presence of AWGN and background signal. Probability of correct
classification (PCC) of the FHSS signals is performed by the LD method for the
signal-to-noise ratio (SNR) range of -6 to 15 dB. Results show that the proposed
method has achieved 90% detection rate at the SNR range of -1.6 to 3.5 dB in the
presence of AWGN only, while its performance is degraded to 0.9 to 12 dB when
the background signal is present.
Keywords Frequency-hopping spread spectrum · Linear discriminant · Probability
of correct classification
1 Introduction
Multi-signal environment comprises various kinds of wireless technologies which
share a common frequency band [1]. For example, the sharing of the 2.4 GHz
frequency between the Bluetooth and Wi-Fi [2]. Depending on the wireless tech-
nology, the signals may have either a fixed or variable carrier frequency. Most impor-
tant there should not be any overlap of carrier frequency between the various wire-
less technologies which could cause interference between the various users. Thus, a
spectrum monitoring system can be utilized to manage the use of carrier frequency
between the various wireless technologies [3].
Frequency-hopping spread spectrum (FHSS) is a spread spectrum technique
where the frequency changes randomly according to a pattern known to both the
M. T. Khan (B ) · A. Z. Sha’ameri · M. M. A. Zabidi · C. C. Chia
Division of Electronic and Computer Engineering, School of Electrical Engineering, Faculty of
Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
F. Thakkar et al. (eds.), Proceedings of the International e-Conference on Intelligent
Systems and Signal Processing, Advances in Intelligent Systems and Computing 1370,
https://doi.org/10.1007/978-981-16-2123-9_11
143