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Correction to "Optimally Joint Subcarrier Matching and Power Allocation in OFDM Multihop System"
EURASIP Journal on Advances in Signal Processing volume 2010, Article number: 126230 (2010)
In the above paper [1], the author gives that 
is always greater than 0 as 
in [1]. However, 
should be
where 
. It is observed that the denominators of (1) and 
in [1] are the same and positive whereas the numerators are different. From (1), it cannot be assured that 
is always greater than 
for example, when 
, 
. Therefore, the total channel capacity is not always monotonically increasing function of 
for the given power allocation, and 
and 
in [1] cannot be obtained. Meanwhile, the extended proposition in [1, Section 
] does not stand.
References
Wang W, Yan S, Yang S: Optimally joint subcarrier matching and power allocation in OFDM multihop system. EURASIP Journal on Advances in Signal Processing 2008, 2008:-8.
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Wang, L., Xi, Y. & Wei, J. Correction to "Optimally Joint Subcarrier Matching and Power Allocation in OFDM Multihop System". EURASIP J. Adv. Signal Process. 2010, 126230 (2010). https://doi.org/10.1155/2010/126230
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DOI: https://doi.org/10.1155/2010/126230