2014
DOI: 10.1016/j.adhoc.2014.03.007
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Optimal channel assignment with aggregation in multi-channel systems: A resilient approach to adjacent-channel interference

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Cited by 19 publications
(7 citation statements)
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“…Lemma 3: Given the subcarrier and user , there are at least two users such that (20) Proof: Let us define users and , then applying rule (3) to yields (21) By definition it is and , so that we can write (22) where the equality relation holds only if . By defining and , replacing (22) in (21) yields (23) Hence, by means of Lemma 3 we can find users and such that and so that in inequality (19) can be bounded as (24) Thus, since it is , inequality (24) yields (25) and since it is Since contraction mappings have a unique fixed point to which the mapping converges for any initial vector, we can conclude that ReMP converges to a unique vector regardless of the choice of the initial messages.…”
Section: A Convergencementioning
confidence: 99%
See 1 more Smart Citation
“…Lemma 3: Given the subcarrier and user , there are at least two users such that (20) Proof: Let us define users and , then applying rule (3) to yields (21) By definition it is and , so that we can write (22) where the equality relation holds only if . By defining and , replacing (22) in (21) yields (23) Hence, by means of Lemma 3 we can find users and such that and so that in inequality (19) can be bounded as (24) Thus, since it is , inequality (24) yields (25) and since it is Since contraction mappings have a unique fixed point to which the mapping converges for any initial vector, we can conclude that ReMP converges to a unique vector regardless of the choice of the initial messages.…”
Section: A Convergencementioning
confidence: 99%
“…The assignment problem can be formulated as a linear integer programming problem (1) where the binary assignment variable is one when resource is assigned to user and zero otherwise, and must hold for feasibility. Problem (1) can be interpreted as a cell-based optimization problem [23] for an OFDMA wireless systems, where nodes represent the users, nodes the available channels, the number of requested channels, e.g., the subcarriers in an OFDMA system, and the power budget for user to utilise resource .…”
Section: Resource Assignment Problemmentioning
confidence: 99%
“…Two joint powerchannel allocation schemes (CAD-MAC) have been presented by [87] which perform channel aggregation to increase the data transmission rate along with optimizing energy efficiency of cognitive ad hoc networks. Another channel assignment scheme has been proposed for channel aggregation in multichannel systems [86] which maximizes the spectrum efficiency by minimizing the size of guard band required to establish a new link. The concept of channel aggregation has been elaborated by [29] in which multiple radio access technologies (RATs) can be combined to form a high speed logical channel.…”
Section: ) Channel Aggregationmentioning
confidence: 99%
“…Our objective in this paper is to design GBA channel assignment schemes for DSA networks, where channel quality is uncertain. It has been shown in [19], [20] that to attain optimal spectrum efficiency, channels need to be assigned on a per-block basis (as will be explained in Section II). Given this, the channel assignment problem in [19] can be restated as follows: Given the set of idle frequency blocks, obtain a combination of idle frequency blocks that either satisfies the link demand or achieves the nearest rate to this demand.…”
mentioning
confidence: 99%