Partial feedback for the discrete memoryless multiple access channel (Corresp.)

Willems, Frank; Meulen, E. van der

doi:10.1109/tit.1983.1056646

Cited by 33 publications

(31 citation statements)

References 6 publications

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“…Firstly, due to the strict concavity of the logarithm, the subset relation in (20) is satisfied with strict inequality, provided p (1) (h) = p (2) (h) over a set of channel states with nonzero probability. Therefore, for any two corner points {R (1) 1 , R (1) 2 }, {R (2) 1 , R (2) 2 } on the boundary of R, arising from distinct power control policies, there exists a rate tuple strictly outside the line connecting these two points. Therefore, if there is to be a linear portion on R, it can only be due to a single power control policy, which in turn can only be the sum rate maximizing power control policy.…”

Section: Proofmentioning

confidence: 99%

Power Control for Fading Cooperative Multiple Access Channels

Kaya

Ulukuş

2007

IEEE Trans. Wireless Commun.

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Abstract-For a fading Gaussian multiple access channel with user cooperation, we obtain the power allocation policies that maximize the average rates achievable by block Markov superposition coding, subject to average power constraints. The optimal policies result in a coding scheme that is simpler than the one for a general multiple access channel with generalized feedback. This simpler coding scheme also leads to the possibility of formulating an otherwise non-concave optimization problem as a concave one. Using the perfect channel state information available at the transmitters to adapt the powers, we demonstrate gains over the achievable rates for existing cooperative systems.

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Section: Proofmentioning

confidence: 99%

Power Control for Fading Cooperative Multiple Access Channels

Kaya

Ulukuş

2007

IEEE Trans. Wireless Commun.

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“…Moreover, we show that for noisy feedback the capacity region tends to Ozarow's perfect-feedback capacity region [9] as the feedback-noise variances tend to zero. Finally, in the case of perfect partial feedback we show that for certain channel parameters the capacity region strictly includes the Cover-Leung region [4], a region that was originally derived for the perfect-feedback setting and that was later shown by Carleial [2] and (for the discrete memoryless case) by Willems and van der Meulen [16] to be achievable also in the perfect partial-feedback setting. This answers in the negative the question posed by van der Meulen in [13] as to whether the Cover-Leung region equals the capacity region of the Gaussian MAC with perfect partial feedback.…”

Section: Introductionmentioning

confidence: 66%

On the Gaussian MAC with Imperfect Feedback

Lapidoth

Wigger

2006

2006 IEEE 24th Convention of Electrical &Amp; Electronics Engineers in Israel

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New achievable rate regions are derived for the two-user additive white Gaussian multiple-access channel with noisy feedback. The regions exhibit the following two properties. Irrespective of the (finite) Gaussian feedback-noise variances, our regions include rate points which lie strictly outside the no-feedback capacity region, and when the feedback-noise variances tend to 0 our regions converge to the perfect feedback capacity region.The new achievable regions also apply to the partial-feedback setting where one of the transmitters has a noisy feedback link and the other transmitter has no feedback at all. Again, irrespective of the (finite) noise variance on the only feedback link, the regions include rate points which lie strictly outside the no-feedback capacity region. Moreover, in the case of perfect partial feedback, i.e., where the only feedback link is noise-free, for certain channel parameters the new regions even include rate points which lie strictly outside the Cover-Leung region. This answers in the negative the question posed by van der Meulen as to whether the Cover-Leung region equals the capacity region of the Gaussian multiple-access channel with perfect partial feedback.Finally, we propose new achievable regions also for a setting where the receiver is cognizant of the realizations of the noise sequences on the feedback links.

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“…To exploit the feed-forward, we shall use a block-Markov superposition strategy [17], [18] spanning adjacent blocks. The ideas of non-random binning and restricted encoding, introduced in [18], will be used in the proof. The blockMarkov coding scheme is described in detail below.…”

Section: Proof Of Theoremmentioning

confidence: 99%

Multiple descriptions with feed-forward: A single-letter achievable rate region

Venkataramanan

Pradhan

2008

2008 IEEE International Symposium on Information Theory

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Abstract-We study the two-channel multiple descriptions problem for an i.i.d source, with feed-forward to one or both side-decoders. We derive a single-letter achievable rate-region that strictly includes the best known rate-region for multiple descriptions without feed-forward. In point-to-point source coding, feed-forward does not improve the rate-distortion function of a discrete memoryless source. In contrast, we provide an example to show that our region can be strictly smaller than the optimal region without feed-forward. The proof of the result uses a blockMarkov superposition source coding strategy.

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Partial feedback for the discrete memoryless multiple access channel (Corresp.)

Cited by 33 publications

References 6 publications

Power Control for Fading Cooperative Multiple Access Channels

Power Control for Fading Cooperative Multiple Access Channels

On the Gaussian MAC with Imperfect Feedback

Multiple descriptions with feed-forward: A single-letter achievable rate region

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