Wavelet-based sensing technique in cognitive radio network

TELKOMNIKA Telecommunication Computing Electronics and Control
Vol. 21, No. 5, October 2023, pp. 968~974
ISSN: 1693-6930, DOI: 10.12928/TELKOMNIKA.v21i5.24678  968
Journal homepage: http://telkomnika.uad.ac.id
Wavelet-based sensing technique in cognitive radio network
Mas Haslinda Mohamad1
, Nurusolihah Zamri1
, Nor Khairiah Ibrahim2
1
Center for Telecommunication Research and Innovation (CeTRI), Fakulti Kejuruteraan Elektronik dan Kejuruteraan Komputer
(FKEKK), Universiti Teknikal Malaysia Melaka (UTeM), Melaka, Malaysia
2
Advanced Telecommunication Technology Research Lab, Universiti Kuala Lumpur British Malaysian Institute, Selangor, Malaysia
Article Info ABSTRACT
Article history:
Received Oct 11, 2022
Revised May 09, 2023
Accepted Jun 05, 2023
Cognitive radio is a smart radio that can change its transmitter parameter
based on interaction with the environment in which it operates. The demand
for frequency spectrum is growing due to a big data issue as many Internet
of Things (IoT) devices are in the network. Based on previous research, most
frequency spectrum was used, but some spectrums were not used, called
spectrum hole. Energy detection is one of the spectrum sensing methods that
has been frequently used since it is easy to use and does not require license
users to have any prior signal understanding. But this technique is incapable
of detecting at low signal-to-noise ratio (SNR) levels. Therefore, the
wavelet-based sensing is proposed to overcome this issue and detect
spectrum holes. The main objective of this work is to evaluate the
performance of wavelet-based sensing and compare it with the energy
detection technique. The findings show that the percentage of detection in
wavelet-based sensing is 83% higher than energy detection performance.
This result indicates that the wavelet-based sensing has higher precision in
detection and the interference towards primary user can be decreased.
Keywords:
Cognitive radio
Empirical data
Spectrum holes
Spectrum sensing
Wavelet detection
This is an open access article under the CC BY-SA license.
Corresponding Author:
Mas Haslinda Mohamad
Center for Telecommunication Research and Innovation (CeTRI)
Fakulti Kejuruteraan Elektronik dan Kejuruteraan Komputer (FKEKK)
Universiti Teknikal Malaysia Melaka (UTeM), Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
Email: mashaslinda@utem.edu.my
1. INTRODUCTION
Spectrum frequency is a vital resource used by wireless network to communicate with other devices
in the network. At any given time, a certain amount of spectrum frequency is available to be allocated by a
wireless network. The high growth of the Internet of Things (IoT) devices and big data issues in the network
increased the demand for the frequency spectrum. IoT users encounter connectivity issues when mobile and
incur a hefty cost for licensed spectrum. Moreover, as the number of IoT users increases, the available
spectrum frequency shrinks, and the network communication quality becomes degraded.
In contrast, most licenced bands, including amateur radio, paging, and television broadcasting, are
underutilised [1], [2]. The demand for spectrum frequency also varies depending on the number of users and the
usage time. In order to overcome these challenges, cognitive radio (CR) was proposed by Mitola in 1999 [3], [4]
to address the issue of unused spectrum. CR is a radio that can adjust or change the parameters of its transmitter
in response to communication with the operating environment. Primary users (PU) and secondary users (SU)
spectrums are part of CR architectures, with PU being license holders and SU being unlicensed users.
Spectrum sensing is a vital process in CR, the first phase of the CR process. Spectrum sensing is a
process of sensing the frequency spectrums and then identifying the spectrum holes [5], [6]. Energy detection is a
frequently used method since it is easy to use and does not require license users to have any prior signal

TELKOMNIKA Telecommun Comput El Control 
Wavelet-based sensing technique in cognitive radio network (Mas Haslinda Mohamad)
969
understanding. However, one of the major difficulties in implementing spectrum sensing is the structure of wireless
channels, which makes it possible for interference elements like multipath and shadowing effects to existing [7].
The energy detection technique lacked accuracy in detecting edge energy in a network [8], [9]. An excessive
amount of energy scattered at the edge of the network would hinder the performance of the network.
Wavelet-based sensing technique is proposed to overcome the current limitation in energy detection.
This method differs from the others because it can work in frequency and time domains [10]. Wavelet
transform (WT) in the wavelet-based sensing technique can overcome the issue of instantaneous changes in
the time domain in the Fourier series. In the traditional approach, the Fourier transform is used to denoise the
signal by splitting them into high-and low-frequency components, and the noise is eliminated by deleting the
high-frequency component. The high-frequency portion of the signal is distorted because the method
simultaneously eliminates both the disturbances and the high-frequency relevant information. This technique
is unique due to its time-frequency properties since it can localise a signal in frequency and time by using
scaling and wavelet functions [11], [12].
There are three ways that the wavelet approach is applied to spectrum sensing. This method includes
the continuous wavelet technique, discrete wavelet, and discrete wavelet packet [12]. The main difference
between both types of wavelet transform is that continuous wavelet transform (CWT) uses every wavelet
over an infinite number of scales and locations. On the other hand, the discrete wavelet transform (DWT)
only employs a small number of wavelets defined at a particular range of scales and locations [13]. A few
WT detection technique that has been used by wideband spectrum sensing are including multiscale modulus
maxima (WTMM), WT multiscale product (WTMP), and WT multiscale sum (WTMS). WTMM is used in
this work due to its property to characterize of a signal at the edge and reduce noise [11].
In this paper, a spectrum scanning of the frequency range between 2.4 GHz to 2.48 GHz has been
executed using universal software radio peripheral (USRP) N210. The experimental data are analysreed, and
waveform-based sensing is performed to detect spectrum holes. Waveform-based sensing is chosen as a
spectrum sensing technique in this work as it can improve the detection at higher average SNR [14], [15] and
performs good performance in the multiresolution analysis of a signal even at low SNR [16]. This paper’s main
contribution is the proposed wavelet-based sensing model based on the empirical data obtained from the
scanning spectrum. The finding of this work is then compared with the energy detection technique. The paper is
organised as: section 2 explains a detailed research method and overview of formulating the wavelet-based
sensing model, and section 3 discusses a result and analysis of the model is presented. Finally, section 4
concludes the outcome presents in this paper.
2. RESEARCH METHODOLOGY
This work involves three main phases: phase 1 is to analyse the measured data, phase 2 is to formulate
the wavelet detection algorithm, and phase 3 is to evaluate the algorithm’s performance. In phase 1,
the measured data from USRP N210 is analysed. The data from the USRP testbed in [17] sense the spectrum
in the frequency range between 2.4 GHz and 2.48 GHz. The USRP uses LabVIEW software to process and
synthesise communications signals for transmission or reception. The parameter used is shown in Table 1.
block diagram in Figure 1 shows the measurement and data collection process using LabVIEW.
Figure 1. Block diagram of wideband spectrum sense in LabVIEW

 ISSN: 1693-6930
TELKOMNIKA Telecommun Comput El Control, Vol. 21, No. 5, October 2023: 968-974
970
Table 1. Parameter of USRP in LabVIEW software [17]
Parameter Value
USRP IP address 192.168.10.2
Rate (s) 1 mega (M)
Acq duration (Hz) 1 mili (m)
Start carrier (Hz) 2.4 giga (G)
Stop carrier (Hz) 2.48 giga (G)
Gain (dB) 3
Then, phase 2 is executed based on the wavelet detection block diagram in Figure 2. The measured
spectrum data from LabVIEW is the input, 𝑦(𝑡) of this block diagram. Wavelet detection is one of the
spectrum sensing methods in the cognitive radio network that allows the identification of the spectrum
frequency vacancies [18], [19]. From Figure 1, 𝑦(𝑡) is the sensed spectrum that will be converted to CWT,
and 𝑓(𝑡) is the CWT function defined as [20].
𝑊𝑓(𝑎, 𝑏) =
1
√|𝑎|
∫ 𝑓(𝑡)𝑔∗
∞
−∞
(
𝑡−𝑏
𝑎
) 𝑑𝑡 (1)
Where 𝑎 is the scaling factor, 𝑏 is the shift parameter same as 𝜏 in short time Fourier transform
(STFT), and 𝑔 is the window function. The power spectral density (PSD), 𝑆𝑡(𝑓) of CWT is used as the input
to the wavelet edge. The PSD in spectrum band without noise can be defined as:
𝑆𝑡(𝑓) = ∫ 𝑆𝑖(𝑓)𝑑𝑓 = 𝐹𝑖 − 𝐹𝑖−1
𝐹𝑖
𝐹𝑖−1
(2)
Where 𝐹𝑖, 𝑖 = 1,2,3…. 𝑁 represents frequency (Hz) in the sensed spectrum band. The continuous wavelet
transform is defined as [21]:
𝑊𝑓𝑆𝑖(𝑓) = 𝑆𝑖 ∗ ∅𝑎(𝑓) (3)
The value of 𝑊𝑓𝑆𝑖(𝑓) measure a correlation between 𝑆𝑖(𝑓) and dilated wavelet function, ∅𝑎(𝑓) with
the specific value of 𝑎. The dilation of wavelet function by scale 𝑎 given as [22]:
∅𝑎(𝑓) =
1
𝑎
∗ ∅(
𝑓
𝑎
) (4)
The wavelet edge is considered while determining sensing decisions since a single spike in the
signal represents the power density of a particular signal frequency, whereas multiple spikes represent the
addition of noise. Wavelet transforms can also determine how smooth an edge is by looking at how they
change over different scales. This gives detailed information about the intensity profiles of different types of
edges in signals. The first-order or second-order derivatives of 𝑊𝑓𝑆𝑖(𝑓) must be analysed as edges and
irregularities in 𝑆𝑖(𝑓) are signified in the shapes of its derivatives:
𝑊𝑓
1
𝑆𝑖(𝑓) = 𝑎
𝑑
𝑑𝑓
(𝑆𝑖 ∗ ∅𝑎)(𝑓) (5)
𝑊𝑓
2
𝑆𝑖(𝑓) = 𝑎2 𝑑2
𝑑𝑓2 (𝑆𝑖 ∗ ∅𝑎)(𝑓) (6)
Figure 2. Wavelet detection block diagram [18], [23]
For fixed scales, the local maxima of wavelet modulus, 𝑊𝑓
1
𝑆𝑖(𝑓) which refers to 𝑓, correspond to zero-crossings
of 𝑊𝑓
2
𝑆𝑖(𝑓) and inflexion points for 𝑆𝑖(𝑓) [24].

971
𝐹𝑛
̂ = 𝑚𝑎𝑥{|𝑊𝑓
1
𝑆𝑖(𝑓)|} (7)
𝐹𝑛
̂ = 𝑧𝑒𝑟𝑜𝑠{|𝑊𝑓
2
𝑆𝑖(𝑓)|} (8)
In order to examine edge detection and estimation, multiscale point-wise products of smoothed gradient
estimators are formed. This method aims to reduce noise while enhancing multiscale peaks caused by edges.
𝑈𝐽𝑆𝑖(𝑓) = 𝜋𝑗=1
𝐽
𝑊𝑠=𝑠𝑗
1
𝑆𝑖(𝑓) (9)
Therefore, 𝑈𝐽𝑆𝑖(𝑓) is again subjected to the maximum extraction process to extract the boundaries of the
investigated spectrum.
𝐹𝑛
̂ = 𝑚𝑎𝑥{|𝑈𝐽𝑆𝑖(𝑓)|} (10)
A key challenge in the wavelet threshold denoising method is determining the correct threshold.
Threshold has a significant impact on the denoising effect. If the threshold value is too low, significant noise
will remain, and if the threshold value is too high, some crucial aspect of the signal may be filtered out. There
are numerous known ways of determining the threshold. Because of its simplicity and efficiency, the universal
threshold is the most often used method among these. The universal threshold formula is written as [19].
Afterwards can analyse the two hypotheses, 𝐻0 and 𝐻1.
𝜆 = 𝜎√2 𝑙𝑛(𝑁) (11)
Where 𝜎 is the average noise variance and N is the signal length. 𝜎 is computed using the median estimation
approach. In order to compute the spectrum holes of spectrum frequency, the (12) is used [17]:
𝑆𝑝𝑒𝑐𝑡𝑟𝑢𝑚 𝐻𝑜𝑙𝑒 =
𝑙𝑒𝑛𝑔𝑡ℎ 𝑃𝑈 𝑎𝑏𝑠𝑒𝑛𝑡
𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
× 100 (12)
3. RESULTS AND DISCUSSION
Figure 3 shows the front panel of the wideband spectrum in LabVIEW software, where the spectrum
of the received waveform is displayed as fast Fourier transform (FFT). The spectrum measurement has been
done in the ISM band which is found in several devices such as peripherals, Wi-Fi, Bluetooth, microwave
oven and home appliances which work in-between range 2.4 GHz to 2.48 GHz. These bands have been
settled upon worldwide and unlike most other bands, they do not require a transmitting license to use.
Then, the dataset that has been imported in MATLAB is displayed in Figure 4. The spectrum
displays in Figure 2 is in the Wi-Fi range from 2.43 GHz to 2.44 GHz with total number of samples obtained
is 15010. These spectrums have been used throughout the wavelet detection technique.
Meanwhile, Figure 5(a) illustrates the PSD for all bands with an average power of 77.34 dB. The PSD
is intended for utilisation with continuous spectra. The integral of the PSD over a given frequency range is used
to calculate the average power in the signal across that frequency range. The value of PSD is utilised to
calculate the wavelet edge. The spike shown in Figure 5(b) represents the PSD without additional noise.
The sensing decision is considered as PU present if the PSD exceeds the threshold value [25]. The detection
results are shown in Table 2.
Figure 6 denotes the detection of the local maxima of 𝑊𝑓
1
𝑆𝑖(𝑓) in dB. This detection identifies the
boundaries of the frequency channel {𝐹𝑖}𝑖=1
𝑁−1
. Table 2 shows that the wavelet detection achieved an 83.25%
detection rate and 16.75% holes with a spectrum utilisation of 99.9%. Meanwhile, energy detection detected
43.56% of spectrum holes in the spectrum range.
Table 2. Spectrum sensing results in two techniques
Spectrum usage, N = 15010 Wavelet detection (%) Energy detection (%)
Spectrum occupied by PU (%) 83.25 56.44
Spectrum holes (%) 16.75 43.56
Although wavelet detection is more complicated than energy detection, it gives better precision that
provides higher accuracy, which is critical for CR functioning. CR functioning are include the detection of
spectrum holes and avoid interference to PU. Wideband systems can also offer larger data rate
communications than narrowband systems, which normally support lower data rate transmissions. The larger
data rate will increase system capacity and then improve the network performance.

 ISSN: 1693-6930
972
Figure 3. Front panel of wideband spectrum in LabVIEW software
Figure 4. FFT signal plotted in MATLAB
(a) (b)
Figure 5. Power spectral density of signal: (a) PSD for all bands and (b) spike that represent PSD without
additional noise
Figure 6. Estimation of local maximal

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4. CONCLUSION
With the rising technology and IoT application, cognitive radio network is a critical aspect that
needs to be focused on. Unused bandwidth or spectrum holes need to be eliminated to increase the efficiency
of cognitive radio. In this project, wavelet-based sensing in cognitive radio is analysed to detect these
spectrum holes. Simulation using the empirical data finding indicates that in the 2.43 GHz to 2.445 GHz
range, 0.16% of spectrum holes have been detected. This is because the wavelet technique is intended for
wideband spectrum sensing. Significant sample rates may be required to characterise the full wide
bandwidth. It can also minimise spectrum scarcity by transmitting on the spectrum hole, preventing conflict
with the primary license, and improving the quality of service (QoS). In conclusion, the status of the wavelet
detection method is more suitable for CR implementation than energy detection.
ACKNOWLEDGEMENTS
The authors are grateful to the Centre for Research & Innovation Management (CRIM) and
Universiti Teknikal Malaysia Melaka (UTeM) for the opportunity and support, including financial through
relevant grants where applicable.
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BIOGRAPHIES OF AUTHORS
Mas Haslinda Mohamad is currently a Senior Lecturer at Faculty of Electronic
and Computer Engineering, Universiti Teknikal Malaysia Melaka (UTeM), Malaysia since
May 2011. She obtained her PhD in Wireless Communication from Universiti Putra Malaysia
in 2019. Her research interest includes cognitive radio, Internet of Thing (IoT), Long range
communication (LoRa) and 5G. She can be contacted at email: mashaslinda@utem.edu.my.
Nurusolihah Zamri graduated her degree in Bachelor of Electronics Engineering
Technology (Telecommunications) with Honours from Universiti Teknikal Malaysia Melaka
(UTeM). She is presently pursuing a Master’s degree at UTeM. She is interest studying in
cognitive radio network, the Internet of Things, and 5G. She can be contacted at email:
solihahz98@gmail.com.
Nor Khairiah Ibrahim received her BEng. in Electronic Engineering
(Telecommunications) from University Teknologi Malaysia (UTM), Malaysia in 2003; MSc in
Communications and Network Engineering from Universiti Putra Malaysia (UPM), Malaysia
in 2009. She is a lecturer at Communications Technology, Universiti Kuala Lumpur British
Malaysian Institute and currently pursuing her PhD in UPM under Wireless and Photonic
Networks Research Centre of Excellence (WiPNet), Department of Computer and
Communication Systems Engineering, Faculty of Engineering. Her current research interest
includes cognitive radio networks, video coding and transmission, Internet of Thing (IoT) and
5G. She can be contacted at email: norkhairiah@unikl.edu.my.

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