Performance Evaluation System of Spectrum Allocation Protocols Based on Probability Distribution Vector

Algorithm 1：random allocation protocol
Input： $N$ ，M
Output：distribution result matrix $D$
1：set $D = 0$ （ $d_{j, i} = 0$ ，for all $i$ and $j$ ）
2：for $j = 1$ to $M$ do
3：set $a$ from $\{1, \dots, N\}$ with equal probabilities
4：set $d_{j, a} \leftarrow 1$
5：end for

Table 2. Flow of the ERAP algorithm

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Table 2. Flow of the ERAP algorithm

Algorithm 2：equitable and random allocation protocol
Input： $N$ ，M
Output：distribution result matrix $D$
1：set $D = 0$ （ $d_{j, i} = 0$ ，for all $i$ and $j$ ）
2：set priority user list： $l = \{1, \dots, N\}$
3：for $j = 1$ to $M$ do
4：set $a$ from $l$ with equal probabilities
5：set $d_{j, a} \leftarrow 1$
6：remove $a$ from $l$
7：if $l$ is empty then
8：set $l \leftarrow \{1, \dots, N\}$
9：end if
10：end for

Table 3. Setting of environmental parameters

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Table 3. Setting of environmental parameters

Parameter	Value setting
PU occupation $P_{P U}$	$[\begin{matrix} 0.5 & 0.5 \\ 0.5 & 0.5 \end{matrix}]$
Number of channel states $C$	4
Channel state transition matrix $M_{t}$	$[\begin{matrix} 0.25 & 0.25 & 0.25 & 0.25 \\ 0.25 & 0.25 & 0.25 & 0.25 \\ 0.25 & 0.25 & 0.25 & 0.25 \\ 0.25 & 0.25 & 0.25 & 0.25 \end{matrix}]$
Modulation scheme $M_{k}$	$\{\begin{array}{l} M_{0} = [0.5,0.5,0, 0] \\ M_{1} = [0.2,0.5,0.3,0] \\ M_{2} = [0.2,0.3,0.3,0.2] \\ M_{3} = [0.1,0.2,0.3,0.4] \end{array}$
Simulation time $S_{T}$	$1000$ time slots
Maximum number of packets arriving per time slot $m$	$1$

Table 4. Setting of SU parameters

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Table 4. Setting of SU parameters

Simulation code	User number	Buffer size $K_{i}$	Total number of packets arrived $S_{P}$	SU arrival process probability vector $α_{i}$
Simulation 1	U1	10‒35	600	$(0.4,0.6)$
Simulation 1	U2	10‒35	400	$(0.6,0.4)$
Simulation 2	U1	7	370‒610	$(0.63,0.37) ‒ (0.39,0.61)$
	U2	10
	U3	7
	U4	10
Simulation 3	U1	7	670‒1000	$(0.33,0.67) ‒ (0,1)$
	U2	10
	U3	10
	U4	10

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Shi Wang, Hao Lan, Xiaoying Zhu, Min Zhang, Zhishan Zeng. Performance Evaluation System of Spectrum Allocation Protocols Based on Probability Distribution Vector[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1306001

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Paper Information

Category: Fiber Optics and Optical Communications

Received: Jun. 11, 2021

Accepted: Aug. 5, 2021

Published Online: Jun. 9, 2022

The Author Email: Hao Lan (lanhao347229@163.com)

DOI:10.3788/LOP202259.1306001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology