Performance Analysis of Heterogeneous Networks in presence of Deliberate Jammers using Reverse Frequency Allocation

Performance Analysis of Heterogeneous Networks in presence of Deliberate Jammers using Reverse Frequency Allocation Muhammad Ihsan Ur Rehman1 ,Muhammad Qasim2,Abdul wakeel3 ,Mehmood Alam4 , Mir Yasir Umair 5 1 Department of Electrical Engineering , Military College of Signals(MCS) , National University of Sciences and Technology(NUST),Adiala Road, Lalazar, Rawalpindi,46000, Pakistan; ehsan.rehman333@gmail.com 2 Department of Electrical Engineering , Military College of Signals(MCS) , National University of Sciences and Technology(NUST),Adiala Road, Lalazar, Rawalpindi,46000, Pakistan; mqasim4@gmail.com 3 Department of Electrical Engineering , Military College of Signals(MCS) , National University of Sciences and Technology(NUST),Adiala Road, Lalazar, Rawalpindi,46000, Pakistan; awakeel@mcs.edu.pk 4 Department of Electrical Engineering , Military College of Signals(MCS) , National University of Sciences and Technology(NUST),Adiala Road, Lalazar, Rawalpindi,46000, Pakistan; mehmood.alam@mcs.edu.pk 5 Department of Electrical Engineering , Military College of Signals(MCS) , National University of Sciences and Technology(NUST),Adiala Road, Lalazar, Rawalpindi,46000, Pakistan; miryasir@mcs.edu.pk Version September 2, 2021 submitted to Journal Not Specified Abstract: The demand of high data rate and ubiquitous coverage in heterogeneous cellular (HetNets) 1 is increasing progressively. In order to meet this demand, sophisticated model having applied 2 interference reduction scheme and cell association technique is needed. The small base station (sBS 3 are deployed inside the broadcasting area of macro base station (mBS), in heterogeneous cellular 4 networks (HetNets). Since mBS has high transmission power therefore a large number of users 5 get connected with mBS. This causes disproportion of load distribution across the HetNets. For 6 load balancing users from high power mBS are migrated to low power sBS to increase network 7 capacity and to decrease the load from mBS. This results in interference in the communication signal 8 because of strong mBS Interference. Hence, we need interference management technique to mitigate 9 interference and user association and to efficiently use sBSs’ resources. Inter-cell interference (ICI) 10 limit the HetNets’ performance. Additionally, there exist deliberate jamming interference which 11 depends on jammers transmission power and its proximity with the target, which notably degrades 12 the network performance. In this paper, we employ reverse frequency allocation scheme (RFA) to 13 reduce inter cell interference, deliberate jamming interference and to accomplish load balancing. The 14 proposed setup is analyzed inquisitively and with the help of simulations. The result shows reduction 15 in interferences as well as balance of load distribution in the network achieved by employing RFA 16 scheme together with cell association. 17

alleviating DJs-I and ICI in HetNets. The used index of abbreviations in Table 1 and notations in Table   53 2 is given as:  resources is perfect, resulting in less co-tier and cross-tier interference and a higher data rate. [22].

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In RFA no predetermined spectrum is allotted to sBS therefore it mitigates interference and 135 increases coverage area. By introducing RFA the complete spectrum of mBS is made accessible to sBSs 136 in non-intersecting areas but in reverse direction.
From the Fig. 2, For RFA, the sub bands are in reverse order used in mBSs and sBSs that is A g l 139 ∀ l ∈ (M, S) and g ∈ (c, o) [23].

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For the implementation of RFA,the allotted frequency F, is further divided in two sub bands, F 1 141 and F 2 , such that F = z∈(1,2) Fz, as represented in Fig. 2. F1 and F2 are additionally partitioned in UL 142 and DL sub-carriers. These sub bands are categorized as F 1 = F 1,UL + F 1,DL and F 2 = F 2,UL + F 2,DL .
Here, κ M is UL SIR threshold.Moreover SIR UL M represents the received UL SIR. SIR UL M from 154 equation (1) it can be found as In eq(2), the interference of UL in A c M is the total number of mBS-tier interferences. I M,A , sBS-tier I S,A , 156 and of DJs, I J,A . r −β ( • ) represents the separation from either BS or DJs. However, P UL t,ν represents the Here Step (3) is derived by substituting the value of s into step (2) . However, step
Step (5) 166 is eventually inferred from Step (4) (4) Proo f : The proof of (4)is given in Appendix A . In equation (4), γ • is the correlation of P t,M and P UL t,ν ,

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where P t,M represents the power transmitted by mBS-tier.

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By applying the similar method in (4), A is calculated by using the interference LT obtained from the sBS, L I S,A (s) Here, γ 1 is ratio of P t,S and P UL t,ν , where P t,S is the power transmitted by sBS. By applying the similar technique of (4), the interference LT obtained from the DJs, L I J ,A (s), in A, can be represented as follows Here, γ 2 is the ratio of P t,J and P UL t,ν where P t,J is transmitted power of DJs and z 1 and z 2 represents 172 the jamming areas of the jammers, s.t., z 1 ≤ z 2 .  (7) and (8) [25] [20] By putting values of (4), (5), (6) and (7) into (9), P UL A c M (κ M ) is written as (11). Likewise,without RFA utilization for he uniformly distributed DJs , the UL coverage probability equation, P UL By putting (4), (5), (6) and (8) (12).
Equation (14) can be expanded as In the above expression, the transmitted power of ν in mBS UL is, P UL t,l , the transmitted power in 184 SBS DL is P DL t,k , and the transmitted power of IJs is P t,j . Further more, by substituting equation (14) in 185 equation (13), the value of P UL, * The laplace transformation of UL interference in mBS in A c M , which is, L I UL φ M ,A c M , can be obtained as Proo f : The proof of (17) is given in Appendix B .

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In HetNets ICI is the main element that restrict system recital.