2003
DOI: 10.1109/tit.2003.817449
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Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels

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Cited by 397 publications
(536 citation statements)
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“…By Lemma 8 with ψ = κ and A =Ũ, there exists a set U ⊆Ũ such that κ U 5 The function g is measurable by the following argument: κ −1 i is continuous by the inverse function theorem. Hence, for all u with equal F (u), the denominator in the definition of g is just the maximum over a finite set of continuous functions and thus measureable.…”
Section: Lemmamentioning
confidence: 99%
“…By Lemma 8 with ψ = κ and A =Ũ, there exists a set U ⊆Ũ such that κ U 5 The function g is measurable by the following argument: κ −1 i is continuous by the inverse function theorem. Hence, for all u with equal F (u), the denominator in the definition of g is just the maximum over a finite set of continuous functions and thus measureable.…”
Section: Lemmamentioning
confidence: 99%
“…5 In fact, decibel units are used to quantify the power offset in some numerical examples, but all of the analytical expressions in the paper are given in 3-dB units. 5 The zero-order counterpart of L for channels unknown to the receiver is the fading number introduced in [7]. In contrast to the coherent case that occupies us here, though, in the noncoherent case the leading term in the highexpansion is not necessarily linear in j and, as a result, the interpretation of the fading number does not mirror that of the power offset.…”
Section: High-snr Measuresmentioning
confidence: 98%
“…Rayleigh-faded channel and 1 Coherent operation may be unfeasible for ! 1 when the noise becomes commensurate with the uncertainty in the knowledge of the precise state of the channel and the logarithmic scaling in (1) breaks down [6], [7]. For levels of practical interest, however, the premise of coherent reception is valid in a vast majority of channels and an asymptotic characterization accurately captures the behavior of the capacity at those levels.…”
Section: A Motivationmentioning
confidence: 99%
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