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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Fast-Fourier Transform in 5G Network*</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Davit Begashvili</string-name>
          <email>ceur-wsd.org.begashvili@yahoo.com</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giorgi Akhalaia</string-name>
          <email>gakhalaia@cu.edu.ge</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Avtandil Gagnidze</string-name>
          <email>gagnidzeavto@yahoo.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergiy Gnatyuk</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Caucasus University, Caucasus School of Technology</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>East-west teaching university</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>IVUS2024: Information Society and University Studies 2024</institution>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Kutaisi International University</institution>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>National Aviation University</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>The advent of 5G technology has ushered in a new era of high-speed wireless communication, bringing unprecedented connectivity and capabilities. However, the inherent vulnerabilities of 5G networks pose significantcybersecurity challenges that demand innovative solutions. This research explores the utilization of Fast Fourier Transform (FFT) as a foundational element in addressing cybersecurity concerns within the 5G paradigm. The paper begins with an overview of 5G technology and its pivotal role in contemporary communication systems. Emphasis is placed on the evolving security landscape, highlighting the distinctive threats posed to 5G networks. Against this backdrop, the research establishes its primary objective: to investigate the application of FFT techniques in fortifying the security infrastructure of 5G networks. A comprehensive literature review examines existing research in both 5G security and signal processing, identifying gaps that underscore the need for advanced security mechanisms. The theoretical framework elucidates the role of FFT in the modulation/demodulation process, channel estimation, and signal processing within the 5G context. This theoretical foundation serves as the basis for proposing innovative FFT-based security mechanisms. The paper delves into specific cybersecurity threats faced by 5G networks, presenting FFT as a viable solution to mitigate these threats. Intrusion detection, anomaly detection, and enhanced encryption and decryption processes are explored as key applications of FFT in bolstering cybersecurity measures. To validate the effectiveness of the proposed FFT-based solutions, the research outlines an experimental setup, including simulations or case studies conducted in realistic scenarios. Results and analysis are presented, comparing the efficacy of FFT-based security mechanisms with existing solutions, and interpreting findings in the context of the research objectives. In conclusion, this research contributes to the evolving fieldof 5G cybersecurity by showcasing the potential of FFT as a strategic tool for addressing vulnerabilities and fortifying network defences. The findings open avenues for further research, offering insights into the integration of signal processing techniques in the pursuit of resilient and secure 5G communication networks.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;FFT</kwd>
        <kwd>5G Network</kwd>
        <kwd>Radio-waves</kwd>
        <kwd>Cyber Security</kwd>
        <kwd>Mobile Communication</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        The fifth generation of wireless technology, commonly referred to as 5G, heralds a new
era of connectivity that promises to revolutionize how we communicate, interact, and
experience the world around us. With its unprecedented speed, ultra-low latency, and massive
connectivity capabilities, 5G stands poised to transform not only the telecommunications
industry but also various sectors of society, including healthcare, transportation,
manufacturing, and entertainment. But before we start digging about 5G deeper let’s review
predecessors. 1G refers to the first generation of cellular network (wireless) technology.[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]
These are mobile telecommunications standards that were introduced in the 1980s and were
superseded by 2G. The main difference between these two mobile cellular generations is that
the audio transmissions of 1G networks were analog, while 2G networks were entirely digital.
In early 2000s third generation of wireless mobile telecommunication technology 3G was
offered with faster data transfer, and better voice quality.
      </p>
      <p>Last but not least, 4G LTE ushered in the era of mobile broadband. 4G networks offered faster
data download and upload speeds compared to 3G. Reduced latency, resulting in more
responsive user experiences.</p>
      <p>Enhanced network capacity allowing more simultaneous connections. Use of MIMO (Multiple
Input Multiple Output) and beamforming for better signal quality and improved spectral
efficiency. Unlike its predecessors, 5G is not merely an incremental upgrade but represents a
fundamental leap forward in wireless communication technology. Building upon the
foundations laid by 4G LTE networks, 5G networks leverage advanced technologies.</p>
      <p>
        Innovating upon existing protocols, my approach introduces a sophisticated three-way
handshake mechanism between the client, RF radar, and server. This strategic addition aims at
fortifying the defense against potential man-in-the-middle (MITM) attacks, a prevalent
concern in contemporary digital communication landscapes. Moreover, to bolster security
measures further, an additional stratum of encryption is proposed during the implementation
of the Fast Fourier Transform (FFT).[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] This involves integrating a matrix multiplication
process with an extra constant, a proactive measure aimed at elevating the security quotient.
Notably, the transmission of this augmented security parameter is encrypted within the
handshake process, ensuring robust protection throughout the communication exchange. This
multi-layered approach signifies a significant stride towards enhancing the integrity and
confidentiality of data transmissions within RF radar systems.[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature overview</title>
      <p>This presents ideas that have been thoroughly researched and developed, drawing on the
latest scientific literature, technical documents. Furthermore, my main friand was AI which
helped me to develop this idea and to give more thoughts about the security aspects of the 5G.
Mathematical part for this approach is still to be done to measure the complexity and the cost
of the operations. Implementing extra layer of encryption to 5G ideally and theoretically is
more secure.
3.</p>
      <p>
        How is 5G better than 4G
There are several reasons that 5G will be better than 4G: 5G is significantly faster than 4G,
has more capacity, has significantly lower latency, is a unified platform that is more capable,
uses spectrum better.[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] It’s even better visible in numbers:
      </p>
      <sec id="sec-2-1">
        <title>Speed and Bandwidth:</title>
        <p> 4G: Fourth-generation networks typically offer peak download speeds of up to 100</p>
        <p>Mbps, with some advanced variants reaching up to 1 Gbps under optimal conditions.
 5G: Fifth-generation networks boast substantially higher speeds, with peak download
speeds exceeding 10 Gbps. This dramatic increase in bandwidth enables
ultra-highdefinition video streaming, immersive gaming, and other data-intensive applications
with minimal latency.</p>
        <p>Latency:
 4G: 4G networks typically exhibit latency ranging from 30 to 50 milliseconds, which,
while relatively low, may still be noticeable in real-time applications such as online
gaming and video conferencing.
 5G: 5G networks drastically reduce latency, with estimates ranging from 1 to 10
milliseconds. This near-real-time responsiveness is critical for applications like
autonomous vehicles, remote surgery, and augmented reality, where split-second
decisions are paramount.</p>
        <p>Connectivity and Capacity:
 4G: Fourth-generation networks support a limited number of simultaneous connections
per square kilometer, which can lead to congestion in densely populated areas or during
large-scale events.
 5G: Fifth-generation networks are designed to accommodate a vastly greater number of
connected devices, thanks to technologies like massive MIMO and beamforming. This
enhanced connectivity enables the Internet of Things (IoT), smart cities, and other
scenarios with a high density of connected devices.</p>
        <p>
          Spectrum and Infrastructure:
 4G: Fourth-generation networks primarily operate within sub-6 GHz frequency bands,
utilizing existing infrastructure such as cell towers and base stations.
 5G: Fifth-generation networks leverage a broader spectrum, including millimeter wave
frequencies (mmWave), to achieve higher data rates and lower latency. However,
mmWave signals have shorter propagation distances and are susceptible to interference,
necessitating the deployment of additional infrastructure like small cells. [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>4. 5G threat landscape</title>
      <p>Increased Attack Surface: With the proliferation of connected devices and the expansion of
the Internet of Things (IoT), 5G networks significantly increase the attack surface. More
devices connected to the network mean more potential entry points for attackers.
Distributed Architecture: 5G networks utilize a distributed architecture with virtualized
network functions, which introduces new vulnerabilities and potential points of attack
compared to traditional centralized architectures.</p>
      <p>
        Network Slicing Vulnerabilities: Network slicing, a key feature of 5G, allows operators to
create multiple virtual networks on a single physical infrastructure to meet different service
requirements. However, vulnerabilities in the implementation of network slicing could lead to
unauthorized access or disruption of services.[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]
Edge Computing Risks: 5G enables edge computing, which brings computational resources
closer to the end-users. While edge computing offers benefits such as reduced latency, it also
introduces security risks, including data breaches and unauthorized access to edge devices.
Authentication and Identity Management: Secure authentication and identity management
become more challenging in 5G networks due to the dynamic nature of network elements and
the increased use of virtualized infrastructure. Weak authentication mechanisms could lead to
identity theft and unauthorized access.
      </p>
      <p>Privacy Concerns: 5G networks transmit vast amounts of data, including sensitive personal
and business information. Privacy concerns arise from the potential interception or
unauthorized access to this data, leading to breaches of confidentiality and privacy
regulations.</p>
      <p>
        Supply Chain Risks: The global nature of 5G supply chains introduces risks related to the
integrity of hardware and software components. Malicious actors could exploit vulnerabilities
in supply chains to compromise the security of 5G networks.[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
Nation-State Threats: There are concerns about nation-state actors leveraging 5G technology
for espionage, sabotage, or cyber warfare purposes. The deployment of 5G infrastructure by
foreign vendors raises questions about the security of critical communications infrastructure.
[10]
      </p>
    </sec>
    <sec id="sec-4">
      <title>5. How 5G works</title>
      <p>5G transmission consists of 3 main part time domain, frequency domain, radio frequency
signals. Let’s now discuss all of them and see where extra layer of encryption can be added.
In 5G communication, the time domain refers to the representation of signals in terms of
their variations over time. In wireless communication systems like 5G, information is
transmitted using electromagnetic waves, which can be characterized by various
parameters such as frequency, amplitude, and phase. Time domain specifically relates to
the time-varying behavior of these electromagnetic waves. The Fast Fourier Transform
(FFT) is a mathematical algorithm used to transform a signal from the time domain to the
frequency domain. FFT plays a crucial role in modulation and demodulation processes.
Here's how FFT is used to transfer data from the time domain to the frequency domain in
5G networks:






</p>
      <p>
        Digital Modulation: In 5G and other wireless communication systems, data is typically
transmitted in the form of digital symbols. These symbols are represented by variations
in the amplitude, phase, or frequency of a carrier signal. Before transmission, the digital
data is modulated onto the carrier signal using modulation techniques such as
Quadrature Amplitude Modulation (QAM) or Phase Shift Keying (PSK).[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]
Conversion to Analog Signal: The modulated digital signal represents variations in the
time domain, where the amplitude of the signal changes over time according to the
modulating data. This signal needs to be converted into an analog signal suitable for
transmission over the air.
      </p>
      <p>FFT Processing: The modulated digital signal is segmented into small time-domain
intervals known as time windows or frames. Each frame typically contains a finite
number of digital samples. The FFT algorithm is then applied to each frame to convert
the signal from the time domain to the frequency domain.</p>
      <p>
        Frequency Domain Representation: The output of the FFT operation is a set of complex
numbers representing the signal's frequency components. Each complex number
corresponds to a specific frequency bin in the frequency spectrum. The magnitude and
phase of these complex numbers indicate the amplitude and phase of the signal at each
frequency. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]
Transmission: The frequency-domain representation of the signal is transmitted over
the communication channel. In wireless communication systems like 5G, the signal may
undergo further processing, such as channel encoding, modulation, and multiple access
techniques, before transmission.
      </p>
      <p>Reception and Demodulation: At the receiver side, the transmitted signal is received and
processed to extract the frequency-domain representation. The Inverse FFT (IFFT),
which is essentially the reverse operation of the FFT, is applied to convert the signal
from the frequency domain back to the time domain.</p>
      <p>Digital Demodulation: The demodulated signal in the time domain contains the
modulated digital symbols, which can be processed further to recover the original
digital data.</p>
      <p>
        Next step is to turn frequency domain into radio frequency (RF) signals. It involves the
process known as up conversion. this process takes place after digital modulation and
frequency domain representation. Quadrature Amplitude Modulation (QAM) is a widely
used modulation scheme in 5G and other modern communication systems for transmitting
digital data over radio frequency (RF) channels. Before modulation, the binary symbols are
mapped to complex symbols, where each complex symbol represents a unique amplitude
and phase combination. QAM utilizes a two-dimensional constellation diagram to represent
these symbols, with one dimension representing the in-phase (I) component and the other
representing the quadrature (Q) component. The mapped symbols are modulated onto a
carrier signal using QAM modulation. In QAM, the in-phase and quadrature components of
the carrier signal are modulated independently based on the amplitude and phase of the
complex symbols. This allows multiple bits to be transmitted per symbol, resulting in
increased data throughput compared to simpler modulation schemes like binary phase shift
keying (BPSK) or quadrature phase shift keying (QPSK). The number of symbols in the
constellation diagram, or the size of the QAM constellation, determines the modulation
order and the number of bits transmitted per symbol. Common modulation orders used in
5G include 16-QAM, 64-QAM, and 256-QAM, which respectively transmit 4, 6, and 8 bits
per symbol. To ensure reliable communication over noisy channels, error correction coding
and detection techniques are employed in conjunction with QAM modulation. Forward
Error Correction (FEC) codes add redundancy to the transmitted data, allowing receivers to
detect and correct errors introduced during transmission. 5G networks often employ
adaptive modulation and coding techniques, where the modulation scheme and coding rate
are dynamically adjusted based on channel conditions such as signal strength and
interference levels. QAM modulation allows for flexible adaptation of modulation order to
optimize data throughput and spectral efficiency under varying channel conditions.[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]
      </p>
      <p>By utilizing FFT and its inverse (IFFT), 5G systems efficiently transfer data between the
time domain and the frequency domain, enabling high-speed data transmission and efficient
use of the frequency spectrum. After that, QAM modulation plays a crucial role in 5G
networks by enabling the transmission of digital data at high data rates over RF channels. Its
flexibility, efficiency, and compatibility with advanced communication techniques make it
well-suited for the requirements of 5G communication systems.</p>
    </sec>
    <sec id="sec-5">
      <title>6. Fast Fourier transform</title>
      <p>FFT is a fast algorithm that transforms a signal from its time-domain representation to
its frequency-domain representation.</p>
      <p>FFT helps us uncover the hidden frequency components within a signal, enabling us to
understand its composition. Used in various applications like audio processing, image analysis,
and communication systems.</p>
      <p>Divides the signal into smaller components, reducing the computational complexity.
Utilizes a divide-and-conquer approach to efficiently compute the Discrete Fourier Transform
(DFT).</p>
      <p>
        Involves complex numbers to represent both amplitude and phase information at different
frequencies. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]
      </p>
    </sec>
    <sec id="sec-6">
      <title>7. Complexity of this idea</title>
      <p>
        Modern smartphones equipped with multicore processors and hardware-accelerated
computation capabilities can perform FFT operations quite efficiently. For typical signal
lengths encountered in audio or communication applications, such as 1024, 2048, or 4096
samples, the computational time for FFT on a smartphone is typically negligible and can be
executed in milliseconds or even microseconds. For example, let's consider a smartphone with
a quad-core processor running at 2.5 GHz. If we assume that the FFT algorithm is
welloptimized and can effectively utilize multiple cores, the time taken to compute an FFT for a
signal with 2048 samples could be on the order of microseconds to low milliseconds. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]
      </p>
      <p>
        However, for longer signals or more computationally intensive applications, the time
required could be slightly longer. Advanced optimization techniques, hardware acceleration,
and efficient memory access patterns can further reduce the computational time. As shown
previously fft complexity is O(nlogn) so multiplying FFOT on constant will not change the
complexity because multiplying happens in linear time and O(nlogn) dominates on it.
In a typical scenario with optimized implementations and efficient network conditions, the
total time taken for a three-way handshake involving certificate-based authentication with an
RF tower could range from a few milliseconds to tens of milliseconds (e.g., 10-50 milliseconds)
per round-trip time (SYN + SYN/ACK+ ACK). [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ] This communication will be like this:






      </p>
      <sec id="sec-6-1">
        <title>Client Hello (Round-trip Time: RTT1):</title>
        <p>

</p>
        <p>The client sends a "Client Hello" message to the RF tower.</p>
        <p>The RF tower responds with a "Server Hello" message and its certificate.
The time taken for this initial exchange depends on the network latency (SYN) between
the client and the RF tower.</p>
      </sec>
      <sec id="sec-6-2">
        <title>Certificate Verification and Key Exchange (RTT2):</title>
        <p>The client verifiesthe authenticity and validity of the RF tower's certificate.
The client may also perform key exchange and negotiation of cryptographic parameters
during this step.</p>
        <p>The time taken for certificate verification and key exchange can vary based on the
complexity of the certificate chain, the efficiency of the cryptographic algorithms, and the
computational capabilities of the client device.</p>
      </sec>
      <sec id="sec-6-3">
        <title>Completion of Handshake (RTT3):</title>
        <p>Upon successful verificationand key exchange, the client sends a "Finished" message to the
RF tower.</p>
        <p>The RF tower responds with its own "Finished" message.</p>
        <p>The time taken for this finalexchange depends on the network latency (ACK) between
the client and the RF tower.
Moreover, we should take notice of encryption methods and how it will affect this
communication, we are discussing this with AES encryption.</p>
        <p>If we have a constant number the size of a digital certificate can range from a few hundred
bits to several thousand bits (e.g., 1-5 KB) based on the cryptographic algorithms, key sizes,
and encoding formats used. When considering the size of certificates in a communication
system, it's essential to account for the size of the individual certificates, the certificate
chain, and any additional metadata or headers required for the communication protocol.
Size considerations for AES encryptions:
1. Block Size: AES operates on fixed-size blocks of data, with each block being 128
bits (16 bytes) in size. If the plaintext data does not align perfectly with the block
size (e.g., is not a multiple of 16 bytes), padding may be required to bring the
plaintext data to the nearest block size before encryption.
2. Ciphertext Size: The size of the ciphertext produced by AES encryption will be the
same as the size of the plaintext data (including any required padding). For example,
if you encrypt a 1 MB file using AES-128 or AES-256 encryption, the size of the
resulting ciphertext will also be approximately 1 MB.
3. Key Size: AES supports key sizes of 128 bits, 192 bits, and 256 bits. While increasing
the key size can enhance the security of the encryption, it does not affect the block
size or the size of the encrypted data. The size of the ciphertext remains the same
regardless of the key size used.</p>
        <p>
          Business model of this idea is also interesting because it can be costly but internet providers
can create a special service. There can be two ways: one is to create subscription based
service and another is to create new line of pricing for internet purchase. That means
implementing this kind of technology will buy itself and security will be on higher level.
[
          <xref ref-type="bibr" rid="ref11">12</xref>
          ]
        </p>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>8. Extra Layer of security</title>
      <sec id="sec-7-1">
        <title>Before starting approach to the idea let’s definesome notations.</title>
        <p>Certificate = N(name of the holder) + SN(serial number) + pk(copy of public key) +
CA(certificateauthority) + ED(expiration date)</p>
      </sec>
      <sec id="sec-7-2">
        <title>E(encryption) - EAS 128bit or 256bit</title>
        <p>EFFT - Fast Fourier Transform encryption with serial number (SN will be used as constant
multiple for vector to turn into frequency domain)</p>
        <p>Extra layers consist of two parts, one is to add 3 way handshake between client and
tower or server and tower, and second part consists of adding hidden constant during the FFT
transformation.</p>
        <p>For the first part, client sends the encrypted certificate to the RF tower, it gets back
acknowledgment and encrypted serial number plus name of holder, then client responds with
same kind of response. Client finally sends the encrypted certificate and EFFT with encrypted
data.</p>
        <p>Here is the UML graph that will show the entire logical process:</p>
      </sec>
    </sec>
    <sec id="sec-8">
      <title>9. Conclusion</title>
      <p>
        MITM attacks represent 19% of all successful cyber-attacks, according to a 2021 study.
A 2022 report by F5 found that over 50% of all MITM attacks involve the interception of
sensitive information such as login credentials and banking information. MITM attacks are
responsible for an estimated $2 billion in annual losses worldwide, according to a 2020 report
by Accenture. Therefore, creating new technologies such as 5G creates new risks.[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
As 5G networks continue to evolve and expand, the imperative for robust security measures
escalates. With the ever-increasing volume of data traversing these networks, safeguarding
sensitive information against cyber threats becomes paramount. In response to this challenge,
the integration of advanced encryption techniques within fundamental processes like the Fast
Fourier Transform (FFT) emerges as a promising solution, poised to fortify data security in 5G
communication systems.
      </p>
      <p>By embedding encryption directly into the FFT algorithm, a formidable barrier is
erected against potential breaches in the confidentialityand integrity of transmitted data. This
additional layer of security serves as a defensive wall, restricting unauthorized access,
interception, and tampering attempts during data transmission, thereby preserving the
sanctity of sensitive information.</p>
      <p>Furthermore, the strategic incorporation of encryption within FFT architecture
addresses security concerns without incurring detrimental impacts on the efficiency and
performance metrics of 5G networks. Leveraging the computational prowess inherent in FFT
operations, encryption can be seamlessly woven into existing communication protocols,
ensuring minimal disruption to data transmission speeds and latency levels(It still requires
mathematical and practical testing to be proven).</p>
      <p>In essence, the fusion of encryption and FFT not only reinforces the resilience of 5G
networks against evolving cyber threats but also underscores a proactive approach towards
safeguarding the integrity and confidentiality of data in the digital realm. This symbiotic
relationship between security and technological innovation heralds a new era of fortified
communication infrastructures, poised to navigate the complexities of an increasingly
interconnected world with confidenceand assurance.</p>
      <p>The work was conducted for the cybersecurity conference in Caucasus University
(Georgia, Tbilisi).</p>
    </sec>
  </body>
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