2012
DOI: 10.1109/tit.2012.2191691
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Achievable Rates for $K$-User Gaussian Interference Channels

Abstract: The aim of this paper is to study the achievable rates for a K user Gaussian interference channels for any SNR using a combination of lattice and algebraic codes. Lattice codes are first used to transform the Gaussian interference channel (G-IFC) into a discrete input-output noiseless channel, and subsequently algebraic codes are developed to achieve good rates over this new alphabet. In this context, a quantity called efficiency is introduced which reflects the effectiveness of the algebraic coding strategy. … Show more

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Cited by 22 publications
(14 citation statements)
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“…A similar result for the K-user cyclic GIN was obtained in [18]. It was also shown in [19]- [21] that using non-Gaussian inputs (or in [22] with Gaussian inputs) and treating interference as noise achieves the capacity region of some special SISO GINs within a constant gap. The withinconstant-gap results have a merit in the high signal-to-noise ratio (SNR) regime only, where the achievable rate region is sufficiently large.…”
Section: Introductionsupporting
confidence: 72%
“…A similar result for the K-user cyclic GIN was obtained in [18]. It was also shown in [19]- [21] that using non-Gaussian inputs (or in [22] with Gaussian inputs) and treating interference as noise achieves the capacity region of some special SISO GINs within a constant gap. The withinconstant-gap results have a merit in the high signal-to-noise ratio (SNR) regime only, where the achievable rate region is sufficiently large.…”
Section: Introductionsupporting
confidence: 72%
“…The steps we employ in proving the second claim borrows steps from proof of proposition 1 and the proof of the first claim presented above. Note that 18 Here we have used the positivity of (1 − 2δ), or equivalently δ being in the range (0, We have therefore proved our second claim. 20 Our third claim is that either H(X 2 |Q, U 2 ) > 0 or H(X 3 |Q, U 3 ) > 0.…”
Section: It Can Be Verified Thatmentioning
confidence: 64%
“…Bresler, Parekh and Tse [5] employ lattice codes to align interference and thereby characterize the capacity of Gaussian ICs within a constant number of bits. The use of lattice codes has also been proposed in [17], [18], [19], [8] for efficient interference management over Gaussian ICs with three or more Tx-Rx pairs. [20] considers saturation technique for general ICs.…”
Section: Arxiv:14034583v2 [Csit] 13 Jan 2015mentioning
confidence: 99%
“…In this paper, similar to [42,43], we assume that the channel gains are rational, a = p q ∈ Q. The channel inputs X i 's (i ∈ {1, 2}) are average-power limited to P > 0, i.e., …”
Section: System Modelmentioning
confidence: 99%