Concurrent transmission region. The PMS is located at (40 m, ) and the CRx is located at (75 m, ). The CTx can be located anywhere in the fi gure, but its concurrent transmission with the PMS is only allowed if the CTx is located within the highlighted concurrent transmission region . 

Concurrent transmission region. The PMS is located at (40 m, ) and the CRx is located at (75 m, ). The CTx can be located anywhere in the fi gure, but its concurrent transmission with the PMS is only allowed if the CTx is located within the highlighted concurrent transmission region . 

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Location awareness allows to define a concurrent transmission region where a primary and a secondary networks can coexist. We investigate the impact of joint rate and power control on the performance of a cognitive radio ad hoc network overlaying a primary system. The proposed strategies adequately adjust the secondary user transmit power to increa...

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Context 1
... Radio (CR) is a promising technology, which can deal with the growing demand and scarcity of the wireless spectrum [1], [2]. CR allows secondary users (SUs) to access licensed spectrum bands. Since primary users (PUs) have the spectrum priority, SUs must avoid interfering with the PUs. Based on spectrum sensing information or location awareness, the SUs may adapt their transmit powers and adopt strategies to protect the primary link. In [3] it was described how CR networks may be equipped with location awareness features, and CR positioning systems were presented in [4], [5]. In [6], the effects of location awareness on concurrent transmissions for cognitive radio ad hoc networks (CRAHN) were analyzed. Many related works are based on similar concurrent spectrum access models. In [7], an optimal power control algorithm for the CR transmitter was proposed to maximize the concurrent transmission region. In [8], a dynamic spectrum sharing method was presented which aims to maximize the number of concurrent transmissions; the SUs start their transmission with the minimum power allowing channel reuse by other SUs. In [9], the use of channel rate control as well as its impact on the performance of a CRAHN overlaying an infrastructure-based system was investigated. The proposed algorithm adequately adjusts the secondary user rate to be as large as possible while respecting a given constraint on the achievable primary rate. The results obtained in [9] outper- formed the method proposed in [6] and indirectly improved the performance of other schemes based on similar assumptions, as [7], [8]. However, power control was not considered in [9] which can be an ef fi cient mechanism to increase the data rate or to minimize the energy consumption. Many power control schemes were proposed to maximize the secondary capacity or to reduce the energy consumption [10]–[16]. In [10], the SUs adjust their power to maximize their data rate. Optimal power control [11] and adaptive rate and power control [12] were proposed to maximize the SU capacity subject to average interference power and peak transmit power constraints. General models with multiple PUs and SUs were studied in [13] and [14], where power allocation for sum-rate maximization under mutual interference between the PUs and the SUs was addressed. The optimal power allocation in OFDM CR networks was studied in [15], where a fast and low com- plexity algorithm to achieve the optimal solution was proposed. The fi rst axiomatic approach to power control in CR was presented in [16], where the necessity of interference-aware power control for CR users was discussed. In this letter we consider a similar approach as in [6], [9], but including power control and investigating the achievable data rate, the concurrent transmission probability and the energy ef- fi ciency. Our goal is to highlight the importance of transmission power control to expand the concurrent transmission region where PUs and SUs can coexist without interfering each other. We present two strategies: mean data rate maximization on the CRAHN and mean energy ef fi ciency maximization of SUs. Thus, we investigate how a joint power and rate control scheme can be used in a CRAHN to increase its throughput or to extend the autonomy of its devices. II. S YSTEM M ODEL AND P ROBLEM F ORMULATION As in [6], [9], we assume that the nodes are close enough as to consider an interference-limited spectrum sharing scenario in which a CRAHN operates inside the primary coverage area. The system model is composed by a CR transmitter (CTx), a CR receiver (CRx), a primary transmitter or primary mobile station (PMS), and a primary receiver or base station (BS). The anal- ysis focuses on the primary uplink. The BS is at the origin of coordinates and the mobile devices locations are represented by their polar coordinates as: ; , 2, 3, representing the PMS, the CRx and the CTx, respectively, within the coverage area of the BS, which is ( ), as illustrated in Fig. 1. We consider a log-distance path loss model, so that the received power is given by , where is the transmit power, is the distance between transmitter and receiver, is the path-loss exponent, and accounts for other factors as the car- rier frequency and antenna gains. In order to characterize the quality of the links, we consider the primary network capacity, , and the secondary capacity , where unitary band- width is assumed, and and are the signal-to-in- terference ratios (SIR) of the primary and secondary links, respectively. The coexistence probability [6], [9] for concurrent transmission of the primary and secondary links is , where and are the minimum capacities required by the primary and secondary links, respectively. The constraint results from the CTx oper- ating outside the “forbidden region” (circular region of radius centered at the BS), thus avoiding interference to the PUs. If the CTx operates inside the “effective cognitive region” (circular region of radius centered at CRx) then and the quality of the secondary link is guaranteed. When both conditions are satis fi ed, a “concurrent transmission region” exists and the concurrent transmission probability is . This region is highlighted in Fig. 1. In [6], [9] equal primary and secondary transmit powers were assumed. Here we consider that the CTx can reduce its transmit power when it is near the boundary of the forbidden region to avoid reducing the concurrent transmission region and, there- fore, the coexistence probability. The proposed power control mechanism takes into account the ...
Context 2
... Radio (CR) is a promising technology, which can deal with the growing demand and scarcity of the wireless spectrum [1], [2]. CR allows secondary users (SUs) to access licensed spectrum bands. Since primary users (PUs) have the spectrum priority, SUs must avoid interfering with the PUs. Based on spectrum sensing information or location awareness, the SUs may adapt their transmit powers and adopt strategies to protect the primary link. In [3] it was described how CR networks may be equipped with location awareness features, and CR positioning systems were presented in [4], [5]. In [6], the effects of location awareness on concurrent transmissions for cognitive radio ad hoc networks (CRAHN) were analyzed. Many related works are based on similar concurrent spectrum access models. In [7], an optimal power control algorithm for the CR transmitter was proposed to maximize the concurrent transmission region. In [8], a dynamic spectrum sharing method was presented which aims to maximize the number of concurrent transmissions; the SUs start their transmission with the minimum power allowing channel reuse by other SUs. In [9], the use of channel rate control as well as its impact on the performance of a CRAHN overlaying an infrastructure-based system was investigated. The proposed algorithm adequately adjusts the secondary user rate to be as large as possible while respecting a given constraint on the achievable primary rate. The results obtained in [9] outper- formed the method proposed in [6] and indirectly improved the performance of other schemes based on similar assumptions, as [7], [8]. However, power control was not considered in [9] which can be an ef fi cient mechanism to increase the data rate or to minimize the energy consumption. Many power control schemes were proposed to maximize the secondary capacity or to reduce the energy consumption [10]–[16]. In [10], the SUs adjust their power to maximize their data rate. Optimal power control [11] and adaptive rate and power control [12] were proposed to maximize the SU capacity subject to average interference power and peak transmit power constraints. General models with multiple PUs and SUs were studied in [13] and [14], where power allocation for sum-rate maximization under mutual interference between the PUs and the SUs was addressed. The optimal power allocation in OFDM CR networks was studied in [15], where a fast and low com- plexity algorithm to achieve the optimal solution was proposed. The fi rst axiomatic approach to power control in CR was presented in [16], where the necessity of interference-aware power control for CR users was discussed. In this letter we consider a similar approach as in [6], [9], but including power control and investigating the achievable data rate, the concurrent transmission probability and the energy ef- fi ciency. Our goal is to highlight the importance of transmission power control to expand the concurrent transmission region where PUs and SUs can coexist without interfering each other. We present two strategies: mean data rate maximization on the CRAHN and mean energy ef fi ciency maximization of SUs. Thus, we investigate how a joint power and rate control scheme can be used in a CRAHN to increase its throughput or to extend the autonomy of its devices. II. S YSTEM M ODEL AND P ROBLEM F ORMULATION As in [6], [9], we assume that the nodes are close enough as to consider an interference-limited spectrum sharing scenario in which a CRAHN operates inside the primary coverage area. The system model is composed by a CR transmitter (CTx), a CR receiver (CRx), a primary transmitter or primary mobile station (PMS), and a primary receiver or base station (BS). The anal- ysis focuses on the primary uplink. The BS is at the origin of coordinates and the mobile devices locations are represented by their polar coordinates as: ; , 2, 3, representing the PMS, the CRx and the CTx, respectively, within the coverage area of the BS, which is ( ), as illustrated in Fig. 1. We consider a log-distance path loss model, so that the received power is given by , where is the transmit power, is the distance between transmitter and receiver, is the path-loss exponent, and accounts for other factors as the car- rier frequency and antenna gains. In order to characterize the quality of the links, we consider the primary network capacity, , and the secondary capacity , where unitary band- width is assumed, and and are the signal-to-in- terference ratios (SIR) of the primary and secondary links, respectively. The coexistence probability [6], [9] for concurrent transmission of the primary and secondary links is , where and are the minimum capacities required by the primary and secondary links, respectively. The constraint results from the CTx oper- ating outside the “forbidden region” (circular region of radius centered at the BS), thus avoiding interference to the PUs. If the CTx operates inside the “effective cognitive region” (circular region of radius centered at CRx) then and the quality of the secondary link is guaranteed. When both conditions are satis fi ed, a “concurrent transmission region” exists and the concurrent transmission probability is . This region is highlighted in Fig. 1. In [6], [9] equal primary and secondary transmit powers were assumed. Here we consider that the CTx can reduce its transmit power when it is near the boundary of the forbidden region to avoid reducing the concurrent transmission region and, there- fore, the coexistence probability. The proposed power control mechanism takes into account the ...
Context 3
... this case the goal is to maximize the secondary capacity. The optimization problem can be formulated as follows The RE-PC strategy utilizes the maximum allowed transmit power that guarantees the quality of the primary link, corresponding to the solution of the right side of (7). The objective is to maximize the energy ef fi ciency of the secondary link. The optimization problem in this case is formulated as The EE-PC strategy utilizes the minimum possible transmit power while still ensuring the quality of the secondary link, thus corresponding to the solution of the left side of (7). IV. N UMERICAL R ESULTS In this section we discuss numerical results for the topology in Fig. 1. We consider , path loss exponent , , , , , and . When power control is not used then . In addition, for simulation purposes, were uniformly distributed in the coverage area of the BS, representing different possible CTx locations. For the sake of better illustrating the impact of the proposed secondary joint power and rate control schemes, the numerical results also include the scheme proposed in [9] which is referred here as Fixed-Power Rate Control (FP-RC). Fig. 2 shows histograms with the transmit power distribution of the CTx for both RE-PC and EE-PC power control strategies, considering nine topologies. Each topology represents a different relative position for the CRx and the PMS. The numerical results show that, when the PMS is too close to the BS ( , scenarios i, ii and iii) the mean transmit power used by RE-PC algorithm tends to the maximum value when the CRx moves away from the BS, while for the EE-PC algorithm the mean power is close to twice of that used by the primary trans- mitter. This is because increasing the transmission power of the secondary transmitter does not signi fi cantly affect the primary link for these scenarios. When the PMS is at half the coverage radius ( , scenarios iv, v and vi), the mean transmit power utilized by the RE-PC strategy tends to , however the mean power utilized by the EE-PC algorithm is close to half of . When the PMS is too far from the BS ( , scenarios vii, viii and ix) the mean transmit powers utilized by both algorithms are very low, being close to the minimum value for EE-PC. This is because reducing below is the only way to guarantee the quality of the primary link. From the above it is clear that the two strategies yield different secondary power allocations. In the sequel we investigate the impact of these different power allocations in the concurrent transmission probability, mean data rate and energy ef fi ciency. Fig. 3(a) shows the concurrent transmission probability as a function of , where it is clear that power control (RE-PC and EE-PC) has a positive impact. Additionally, it should be noted that increases when decreases and that , when , for without power control and for (which means that the CTx is outside the coverage area of the BS) when power control is used. Fig. 3(b) and (c) show, respectively, the mean data rate and the mean energy ef fi ciency for the three strategies as a function of . For , the transmission rate for RE-PC is 2.66 bps higher than that of FP-RC but its energy ef fi ciency is 25.89 bits/J less; for the throughput and energy ef fi ciency are similar for both strategies. On the other hand, the energy ef fi ciency for EE-PC is 44 bits/J or more higher than that of FP-RC for all values of but at the cost of a smaller mean achievable rate. Fig. 4(a) shows how for all values of the concurrent transmission probability is higher when power control is employed. Moreover, it must be noted that increases when increases and that , when , for and without and with power control, respectively. Fig. 4(b) and (c) show the mean data rate and the energy ef- fi ciency in terms of . Note how the throughput of the three strategies increases with , having RE-PC, as expected, the highest performance and EE-PC the poorest performance regarding the transmission rate. However, increasing also increases the mean energy ef fi ciency, being EE-PC the most ef fi cient algorithm regarding energy consumption and RE-PC the most expensive one. Note that the goal of each proposed strategy is successfully achieved, offering important system design and operation alternatives. V. C ONCLUSIONS This letter proposes the use of joint power and rate control on the secondary link to expand the concurrent transmission region that guarantees the coexistence of primary and secondary links in a CRAHN. Two power control strategies are introduced, RE-PC maximizes the throughput of the secondary network and EE-PC minimizes the energy consumption of the secondary transmitters. As a consequence, either the data rate or the energy ef fi ciency is increased without affecting the performance of the primary network, considerably improving the performance of the secondary network. R ...

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